Deck 2: Relations, Functions and Graphs

ملء الشاشة (f)
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سؤال
Find the equation of a circle with center (2, -3) and the graph of which contains the point (3, 4), then sketch its graph.
استخدم زر المسافة أو
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لقلب البطاقة.
سؤال
Write the equation in factored form to find the center and radius of the circle. Then sketch the graph. x2 + y2 + 6x - 8 = 0

A) (x + 3)2 + y2 = 16
<strong>Write the equation in factored form to find the center and radius of the circle. Then sketch the graph. x<sup>2</sup> + y<sup>2</sup> + 6x - 8 = 0</strong> A) (x + 3)<sup>2</sup> + y<sup>2</sup> = 16   (Gridlines are spaced one unit apart.) B) (x + 3)<sup>2</sup> + y<sup>2</sup> = 17   (Gridlines are spaced one unit apart.) C) (x - 3)<sup>2</sup> + y<sup>2</sup> = 16   (Gridlines are spaced one unit apart.) D) (x - 3)<sup>2</sup> + y<sup>2</sup> = 17   (Gridlines are spaced one unit apart.) <div style=padding-top: 35px>
(Gridlines are spaced one unit apart.)
B) (x + 3)2 + y2 = 17
<strong>Write the equation in factored form to find the center and radius of the circle. Then sketch the graph. x<sup>2</sup> + y<sup>2</sup> + 6x - 8 = 0</strong> A) (x + 3)<sup>2</sup> + y<sup>2</sup> = 16   (Gridlines are spaced one unit apart.) B) (x + 3)<sup>2</sup> + y<sup>2</sup> = 17   (Gridlines are spaced one unit apart.) C) (x - 3)<sup>2</sup> + y<sup>2</sup> = 16   (Gridlines are spaced one unit apart.) D) (x - 3)<sup>2</sup> + y<sup>2</sup> = 17   (Gridlines are spaced one unit apart.) <div style=padding-top: 35px>
(Gridlines are spaced one unit apart.)
C) (x - 3)2 + y2 = 16
<strong>Write the equation in factored form to find the center and radius of the circle. Then sketch the graph. x<sup>2</sup> + y<sup>2</sup> + 6x - 8 = 0</strong> A) (x + 3)<sup>2</sup> + y<sup>2</sup> = 16   (Gridlines are spaced one unit apart.) B) (x + 3)<sup>2</sup> + y<sup>2</sup> = 17   (Gridlines are spaced one unit apart.) C) (x - 3)<sup>2</sup> + y<sup>2</sup> = 16   (Gridlines are spaced one unit apart.) D) (x - 3)<sup>2</sup> + y<sup>2</sup> = 17   (Gridlines are spaced one unit apart.) <div style=padding-top: 35px>
(Gridlines are spaced one unit apart.)
D) (x - 3)2 + y2 = 17
<strong>Write the equation in factored form to find the center and radius of the circle. Then sketch the graph. x<sup>2</sup> + y<sup>2</sup> + 6x - 8 = 0</strong> A) (x + 3)<sup>2</sup> + y<sup>2</sup> = 16   (Gridlines are spaced one unit apart.) B) (x + 3)<sup>2</sup> + y<sup>2</sup> = 17   (Gridlines are spaced one unit apart.) C) (x - 3)<sup>2</sup> + y<sup>2</sup> = 16   (Gridlines are spaced one unit apart.) D) (x - 3)<sup>2</sup> + y<sup>2</sup> = 17   (Gridlines are spaced one unit apart.) <div style=padding-top: 35px>
(Gridlines are spaced one unit apart.)
سؤال
Use the distance formula to find the length of the line segment. <strong>Use the distance formula to find the length of the line segment.   (Gridlines are spaced one unit apart.)</strong> A) 7 B)   C)   D)   <div style=padding-top: 35px> (Gridlines are spaced one unit apart.)

A) 7
B) <strong>Use the distance formula to find the length of the line segment.   (Gridlines are spaced one unit apart.)</strong> A) 7 B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Use the distance formula to find the length of the line segment.   (Gridlines are spaced one unit apart.)</strong> A) 7 B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Use the distance formula to find the length of the line segment.   (Gridlines are spaced one unit apart.)</strong> A) 7 B)   C)   D)   <div style=padding-top: 35px>
سؤال
Find the equation of a circle whose diameter has endpoints (2, -7) and (2, 1), then sketch its graph.
سؤال
Determine whether the mapping represents a function or nonfunction. If a nonfunction, explain how the definition of a function is violated. <strong>Determine whether the mapping represents a function or nonfunction. If a nonfunction, explain how the definition of a function is violated.  </strong> A) Function. B) Not a function. Amy is paired with two parents. C) Not a function. Two children are paired with Bob. D) Not a function. Some parents are paired with only one child. <div style=padding-top: 35px>

A) Function.
B) Not a function. Amy is paired with two parents.
C) Not a function. Two children are paired with Bob.
D) Not a function. Some parents are paired with only one child.
سؤال
Determine whether the relation represents a function or a nonfunction. If the relation is a nonfunction, explain how the definition of a function is violated. {(2, -5), (-1, -4), (4, -7), (1, -2), (-1, -6), (6, -8)}

A) Function
B) Not a function; -1 is paired with -4 and -6.
سؤال
Find the equation of a circle with center (-7, 6) and radius <strong>Find the equation of a circle with center (-7, 6) and radius   .</strong> A) (x + 7)<sup>2</sup> + (y - 6)<sup>2</sup> =   B) (x - 7)<sup>2</sup> + (y + 6)<sup>2</sup> =   C) (x + 7)<sup>2</sup> + (y - 6)<sup>2</sup> = 5 D) (x - 7)<sup>2</sup> + (y + 6)<sup>2</sup> = 5 <div style=padding-top: 35px> .

A) (x + 7)2 + (y - 6)2 = <strong>Find the equation of a circle with center (-7, 6) and radius   .</strong> A) (x + 7)<sup>2</sup> + (y - 6)<sup>2</sup> =   B) (x - 7)<sup>2</sup> + (y + 6)<sup>2</sup> =   C) (x + 7)<sup>2</sup> + (y - 6)<sup>2</sup> = 5 D) (x - 7)<sup>2</sup> + (y + 6)<sup>2</sup> = 5 <div style=padding-top: 35px>
B) (x - 7)2 + (y + 6)2 = <strong>Find the equation of a circle with center (-7, 6) and radius   .</strong> A) (x + 7)<sup>2</sup> + (y - 6)<sup>2</sup> =   B) (x - 7)<sup>2</sup> + (y + 6)<sup>2</sup> =   C) (x + 7)<sup>2</sup> + (y - 6)<sup>2</sup> = 5 D) (x - 7)<sup>2</sup> + (y + 6)<sup>2</sup> = 5 <div style=padding-top: 35px>
C) (x + 7)2 + (y - 6)2 = 5
D) (x - 7)2 + (y + 6)2 = 5
سؤال
Find the midpoint of the segment with endpoints (5, 7) and (3, -5).

A) (8, 2)
B) (2, 12)
C) (4, 1)
D) (1, 6)
سؤال
Complete the table using the given equation. Use these points to graph the relation. Complete the table using the given equation. Use these points to graph the relation.    <div style=padding-top: 35px> Complete the table using the given equation. Use these points to graph the relation.    <div style=padding-top: 35px>
سؤال
Find the equation of a circle with center (0, 0) and radius 10.
سؤال
Identify the center and radius of the circle, then graph. Also, state the domain and range of the relation.
(x - 2)2 + (y - 1)2 = 9
سؤال
Identify the center and radius of the circle.
x2 + (y - 8)2 = 4.
سؤال
Identify the center and radius of the circle. (x + 6)2 + (y - 4)2 = 16.

A) center (-6, 4) and radius 4
B) center (6, -4) and radius 4
C) center (-6, 4) and radius 16
D) center (6, -4) and radius 16
سؤال
Find the equation of a circle with center (-1, 2) and radius Find the equation of a circle with center (-1, 2) and radius   . Then sketch its graph.<div style=padding-top: 35px> . Then sketch its graph.
سؤال
Complete the table using the given equation. If an x input corresponds to two possible y outputs, be sure to find both.
|y - 3| = x
Complete the table using the given equation. If an x input corresponds to two possible y outputs, be sure to find both. |y - 3| = x  <div style=padding-top: 35px>
سؤال
Find the equation of a circle with center (0, 0) and radius 4. Then sketch its graph.
سؤال
Find the equation of a circle with center (0, 2) and radius <strong>Find the equation of a circle with center (0, 2) and radius   . Then sketch its graph.</strong> A) x<sup>2</sup> + (y - 2)<sup>2</sup> =     (Gridlines are spaced one unit apart.) B) x<sup>2</sup> + (y - 2)<sup>2</sup> = 6   (Gridlines are spaced one unit apart.) C) x<sup>2</sup> + (y - 2)<sup>2</sup> =     (Gridlines are spaced one unit apart.) D) x<sup>2</sup> + (y - 2)<sup>2</sup> = 6   (Gridlines are spaced one unit apart.) <div style=padding-top: 35px> . Then sketch its graph.

A) x2 + (y - 2)2 = <strong>Find the equation of a circle with center (0, 2) and radius   . Then sketch its graph.</strong> A) x<sup>2</sup> + (y - 2)<sup>2</sup> =     (Gridlines are spaced one unit apart.) B) x<sup>2</sup> + (y - 2)<sup>2</sup> = 6   (Gridlines are spaced one unit apart.) C) x<sup>2</sup> + (y - 2)<sup>2</sup> =     (Gridlines are spaced one unit apart.) D) x<sup>2</sup> + (y - 2)<sup>2</sup> = 6   (Gridlines are spaced one unit apart.) <div style=padding-top: 35px>
<strong>Find the equation of a circle with center (0, 2) and radius   . Then sketch its graph.</strong> A) x<sup>2</sup> + (y - 2)<sup>2</sup> =     (Gridlines are spaced one unit apart.) B) x<sup>2</sup> + (y - 2)<sup>2</sup> = 6   (Gridlines are spaced one unit apart.) C) x<sup>2</sup> + (y - 2)<sup>2</sup> =     (Gridlines are spaced one unit apart.) D) x<sup>2</sup> + (y - 2)<sup>2</sup> = 6   (Gridlines are spaced one unit apart.) <div style=padding-top: 35px>
(Gridlines are spaced one unit apart.)
B) x2 + (y - 2)2 = 6
<strong>Find the equation of a circle with center (0, 2) and radius   . Then sketch its graph.</strong> A) x<sup>2</sup> + (y - 2)<sup>2</sup> =     (Gridlines are spaced one unit apart.) B) x<sup>2</sup> + (y - 2)<sup>2</sup> = 6   (Gridlines are spaced one unit apart.) C) x<sup>2</sup> + (y - 2)<sup>2</sup> =     (Gridlines are spaced one unit apart.) D) x<sup>2</sup> + (y - 2)<sup>2</sup> = 6   (Gridlines are spaced one unit apart.) <div style=padding-top: 35px>
(Gridlines are spaced one unit apart.)
C) x2 + (y - 2)2 = <strong>Find the equation of a circle with center (0, 2) and radius   . Then sketch its graph.</strong> A) x<sup>2</sup> + (y - 2)<sup>2</sup> =     (Gridlines are spaced one unit apart.) B) x<sup>2</sup> + (y - 2)<sup>2</sup> = 6   (Gridlines are spaced one unit apart.) C) x<sup>2</sup> + (y - 2)<sup>2</sup> =     (Gridlines are spaced one unit apart.) D) x<sup>2</sup> + (y - 2)<sup>2</sup> = 6   (Gridlines are spaced one unit apart.) <div style=padding-top: 35px>
<strong>Find the equation of a circle with center (0, 2) and radius   . Then sketch its graph.</strong> A) x<sup>2</sup> + (y - 2)<sup>2</sup> =     (Gridlines are spaced one unit apart.) B) x<sup>2</sup> + (y - 2)<sup>2</sup> = 6   (Gridlines are spaced one unit apart.) C) x<sup>2</sup> + (y - 2)<sup>2</sup> =     (Gridlines are spaced one unit apart.) D) x<sup>2</sup> + (y - 2)<sup>2</sup> = 6   (Gridlines are spaced one unit apart.) <div style=padding-top: 35px>
(Gridlines are spaced one unit apart.)
D) x2 + (y - 2)2 = 6
<strong>Find the equation of a circle with center (0, 2) and radius   . Then sketch its graph.</strong> A) x<sup>2</sup> + (y - 2)<sup>2</sup> =     (Gridlines are spaced one unit apart.) B) x<sup>2</sup> + (y - 2)<sup>2</sup> = 6   (Gridlines are spaced one unit apart.) C) x<sup>2</sup> + (y - 2)<sup>2</sup> =     (Gridlines are spaced one unit apart.) D) x<sup>2</sup> + (y - 2)<sup>2</sup> = 6   (Gridlines are spaced one unit apart.) <div style=padding-top: 35px>
(Gridlines are spaced one unit apart.)
سؤال
Determine whether the relation represents a function or a nonfunction. If the relation is a nonfunction, explain how the definition of a function is violated. {(-9, 10), (-12, 11), (-7, 8), (-10, 13), (-13, 11), (-5, 7)}

A) Function
B) Nonfunction; -12 and -13 are both paired with 11.
سؤال
Write the equation in factored form to find the center and radius of the circle.
x2 + y2 + 14x - 2y + 3 = 0
سؤال
State the domain and range of the relation.
{(5, 8), (6, 9), (7, 10), (8, 11)}
سؤال
Use the following to answer questions :
A car rental company charges a flat fee of $21.50 and an hourly charge of $14.50. This means that cost is a function of the hours the car is rented plus the flat fee.
Write this relationship in equation form.
سؤال
Determine the value of f(18) if f(x) = -Determine the value of f(18) if f(x) = -  x + 1.<div style=padding-top: 35px> x + 1.
سؤال
Determine the value of g(2a) if g(x) = 4x + 1.
سؤال
Use the following to answer questions :
A car rental company charges a flat fee of $21.50 and an hourly charge of $14.50. This means that cost is a function of the hours the car is rented plus the flat fee.
Find the cost if the car is rented for 5.5 hr.

A) $41.50
B) $101.25
C) $36.00
D) $132.75
سؤال
Determine the value of f(-6) if f(x) = -x2 - 4x.

A) 30
B) -12
C) 36
D) -40
سؤال
Use the following to answer questions :
h(x) = <strong>Use the following to answer questions : h(x) =   Determine the value of   .</strong> A) -3 B)   C)   D)   <div style=padding-top: 35px>
Determine the value of <strong>Use the following to answer questions : h(x) =   Determine the value of   .</strong> A) -3 B)   C)   D)   <div style=padding-top: 35px> .

A) -3
B) <strong>Use the following to answer questions : h(x) =   Determine the value of   .</strong> A) -3 B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Use the following to answer questions : h(x) =   Determine the value of   .</strong> A) -3 B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Use the following to answer questions : h(x) =   Determine the value of   .</strong> A) -3 B)   C)   D)   <div style=padding-top: 35px>
سؤال
Use the following to answer questions :
h(x) = Use the following to answer questions : h(x) =   Determine the value of h(a - 2).<div style=padding-top: 35px>
Determine the value of h(a - 2).
سؤال
Determine whether the relation represents a function or nonfunction, then determine the domain and range of the relation. Determine whether the relation represents a function or nonfunction, then determine the domain and range of the relation.   (Gridlines are spaced one unit apart.)<div style=padding-top: 35px> (Gridlines are spaced one unit apart.)
سؤال
Use the following to answer questions :
h(x) = Use the following to answer questions : h(x) =   Determine the value of h(4).<div style=padding-top: 35px>
Determine the value of h(4).
سؤال
Determine the value of f(a + 1) if f(x) = -5x + 1, then simplify as much as possible.

A) -5a - 4
B) -5a + 2
C) a - 3
D) a - 4
سؤال
Determine the domain of the function. Determine the domain of the function.  <div style=padding-top: 35px>
سؤال
Determine whether the relation represents a function or nonfunction. If a nonfunction, explain how the definition of a function is violated. Determine whether the relation represents a function or nonfunction. If a nonfunction, explain how the definition of a function is violated.   (Gridlines are spaced one unit apart.)<div style=padding-top: 35px> (Gridlines are spaced one unit apart.)
سؤال
Determine whether the relation represents a function or nonfunction, then determine the domain and range. <strong>Determine whether the relation represents a function or nonfunction, then determine the domain and range.   (Gridlines are spaced one unit apart.)</strong> A) Function     B) Not a function     C) Function     D) Not a function     <div style=padding-top: 35px> (Gridlines are spaced one unit apart.)

A) Function
<strong>Determine whether the relation represents a function or nonfunction, then determine the domain and range.   (Gridlines are spaced one unit apart.)</strong> A) Function     B) Not a function     C) Function     D) Not a function     <div style=padding-top: 35px>
<strong>Determine whether the relation represents a function or nonfunction, then determine the domain and range.   (Gridlines are spaced one unit apart.)</strong> A) Function     B) Not a function     C) Function     D) Not a function     <div style=padding-top: 35px>
B) Not a function
<strong>Determine whether the relation represents a function or nonfunction, then determine the domain and range.   (Gridlines are spaced one unit apart.)</strong> A) Function     B) Not a function     C) Function     D) Not a function     <div style=padding-top: 35px>
<strong>Determine whether the relation represents a function or nonfunction, then determine the domain and range.   (Gridlines are spaced one unit apart.)</strong> A) Function     B) Not a function     C) Function     D) Not a function     <div style=padding-top: 35px>
C) Function
<strong>Determine whether the relation represents a function or nonfunction, then determine the domain and range.   (Gridlines are spaced one unit apart.)</strong> A) Function     B) Not a function     C) Function     D) Not a function     <div style=padding-top: 35px>
<strong>Determine whether the relation represents a function or nonfunction, then determine the domain and range.   (Gridlines are spaced one unit apart.)</strong> A) Function     B) Not a function     C) Function     D) Not a function     <div style=padding-top: 35px>
D) Not a function
<strong>Determine whether the relation represents a function or nonfunction, then determine the domain and range.   (Gridlines are spaced one unit apart.)</strong> A) Function     B) Not a function     C) Function     D) Not a function     <div style=padding-top: 35px>
<strong>Determine whether the relation represents a function or nonfunction, then determine the domain and range.   (Gridlines are spaced one unit apart.)</strong> A) Function     B) Not a function     C) Function     D) Not a function     <div style=padding-top: 35px>
سؤال
Determine the domain of the function.  <strong>Determine the domain of the function.  </strong> A) x  \in   B) x  \in    C) x  \in    D) x  \in    <div style=padding-top: 35px>

A) x \in  <strong>Determine the domain of the function.  </strong> A) x  \in   B) x  \in    C) x  \in    D) x  \in    <div style=padding-top: 35px>
B) x \in  <strong>Determine the domain of the function.  </strong> A) x  \in   B) x  \in    C) x  \in    D) x  \in    <div style=padding-top: 35px>
C) x \in  <strong>Determine the domain of the function.  </strong> A) x  \in   B) x  \in    C) x  \in    D) x  \in    <div style=padding-top: 35px>
D) x \in  <strong>Determine the domain of the function.  </strong> A) x  \in   B) x  \in    C) x  \in    D) x  \in    <div style=padding-top: 35px>
سؤال
Determine the domain of the function. Determine the domain of the function.  <div style=padding-top: 35px>
سؤال
Determine whether the relation represents a function or nonfunction. If a nonfunction, explain how the definition of a function is violated. <strong>Determine whether the relation represents a function or nonfunction. If a nonfunction, explain how the definition of a function is violated.   (Gridlines are spaced one unit apart.)</strong> A) Function B) Not a function; 5 and -5 are paired with 0. C) Not a function; 0 is paired with 3 and -3. D) Not a function; 6 is not paired with anything. <div style=padding-top: 35px> (Gridlines are spaced one unit apart.)

A) Function
B) Not a function; 5 and -5 are paired with 0.
C) Not a function; 0 is paired with 3 and -3.
D) Not a function; 6 is not paired with anything.
سؤال
Use the following to answer questions :
A car rental company charges a flat fee of $21.50 and an hourly charge of $14.50. This means that cost is a function of the hours the car is rented plus the flat fee.

-Determine the domain and range of the function in this context, if your budget limits you to paying a maximum of $210 for the rental.
سؤال
Use the following to answer questions :
h(x) = <strong>Use the following to answer questions : h(x) =   Determine the value of h(4a).</strong> A) a B)   C) 16a D)   <div style=padding-top: 35px>
Determine the value of h(4a).

A) a
B) <strong>Use the following to answer questions : h(x) =   Determine the value of h(4a).</strong> A) a B)   C) 16a D)   <div style=padding-top: 35px>
C) 16a
D) <strong>Use the following to answer questions : h(x) =   Determine the value of h(4a).</strong> A) a B)   C) 16a D)   <div style=padding-top: 35px>
سؤال
Use the following to answer questions :
A car rental company charges a flat fee of $21.50 and an hourly charge of $14.50. This means that cost is a function of the hours the car is rented plus the flat fee.
Determine how long the car was rented if the bill came to $152.00.

A) 9 hours
B) 10 hours
C) 11 hours
D) 12 hours
سؤال
Graph using the intercept method.
2x + y = 4
سؤال
Graph by plotting points or using the intercept method.
y = -1
سؤال
Write the equation in function form and identify the new coefficient of x and the new constant term.
5y + 6x = -40
سؤال
Graph by plotting points or using the intercept method. Choose inputs that will help simplify the calculation.
3x + 5y = -6
سؤال
Two points on L1 and two points on L2 are given. Use the slope formula to determine if lines L1 and L2 are parallel, perpendicular, or neither. L1: (9, 2) and (3, -8)
L2: (5, 5) and (-5, -1)

A) Parallel
B) Perpendicular
C) Neither
سؤال
Two points on L1 and two points on L2 are given. Use the slope formula to determine if lines L1 and L2 are parallel, perpendicular, or neither. L1: (2, 0) and (6, 2)
L2: (6, -5) and (8, -9)

A) Parallel
B) Perpendicular
C) Neither
سؤال
Compute the slope of the line through the points (4, 4) and (-4, -7).

A) <strong>Compute the slope of the line through the points (4, 4) and (-4, -7).</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Compute the slope of the line through the points (4, 4) and (-4, -7).</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Compute the slope of the line through the points (4, 4) and (-4, -7).</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Compute the slope of the line through the points (4, 4) and (-4, -7).</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Two points on L1 and two points on L2 are given. Use the slope formula to determine if lines L1 and L2 are parallel, perpendicular, or neither. L1: (3, 4) and (7, 11)
L2: (9, -9) and (5, -16)

A) Parallel
B) Perpendicular
C) Neither
سؤال
Evaluate the function by selecting three inputs that will result in integer values. Then graph the line. Evaluate the function by selecting three inputs that will result in integer values. Then graph the line.  <div style=padding-top: 35px>
سؤال
Graph by plotting points or using the intercept method.
y - 3x = 0
سؤال
Graph by plotting points or using the intercept method. x = 3

A)
<strong>Graph by plotting points or using the intercept method. x = 3</strong> A)   (Gridlines are spaced one unit apart.) B)   (Gridlines are spaced one unit apart.) C)   (Gridlines are spaced one unit apart.) D)   (Gridlines are spaced one unit apart.) <div style=padding-top: 35px>
(Gridlines are spaced one unit apart.)
B)
<strong>Graph by plotting points or using the intercept method. x = 3</strong> A)   (Gridlines are spaced one unit apart.) B)   (Gridlines are spaced one unit apart.) C)   (Gridlines are spaced one unit apart.) D)   (Gridlines are spaced one unit apart.) <div style=padding-top: 35px>
(Gridlines are spaced one unit apart.)
C)
<strong>Graph by plotting points or using the intercept method. x = 3</strong> A)   (Gridlines are spaced one unit apart.) B)   (Gridlines are spaced one unit apart.) C)   (Gridlines are spaced one unit apart.) D)   (Gridlines are spaced one unit apart.) <div style=padding-top: 35px>
(Gridlines are spaced one unit apart.)
D)
<strong>Graph by plotting points or using the intercept method. x = 3</strong> A)   (Gridlines are spaced one unit apart.) B)   (Gridlines are spaced one unit apart.) C)   (Gridlines are spaced one unit apart.) D)   (Gridlines are spaced one unit apart.) <div style=padding-top: 35px>
(Gridlines are spaced one unit apart.)
سؤال
Graph by plotting points or using the intercept method.
x = -2
سؤال
Graph by plotting points or using the intercept method. Plot at least three points. Choose inputs that will help simplify the calculation. Graph by plotting points or using the intercept method. Plot at least three points. Choose inputs that will help simplify the calculation.  <div style=padding-top: 35px>
سؤال
Use the following to answer questions :
A business purchases a copier for $9500 and anticipates it will depreciate in value $850 per year.
How many years will it take for the copier's value to decrease to $4350?
سؤال
Use the following to answer questions :
A business purchases a copier for $9500 and anticipates it will depreciate in value $850 per year.
What is the copier's value after 2 years of use?

A) $5150
B) $5200
C) $5250
D) $5300
سؤال
Compute the slope of the line through the points (-5, -1) and (-1, -5).
سؤال
Graph by plotting points or using the intercept method. 3x + 2y = 6

A) <strong>Graph by plotting points or using the intercept method. 3x + 2y = 6</strong> A)   (Gridlines are spaced one unit apart.) B)   (Gridlines are spaced one unit apart.) C)   (Gridlines are spaced one unit apart.) D)   (Gridlines are spaced one unit apart.) <div style=padding-top: 35px>
(Gridlines are spaced one unit apart.)
B) <strong>Graph by plotting points or using the intercept method. 3x + 2y = 6</strong> A)   (Gridlines are spaced one unit apart.) B)   (Gridlines are spaced one unit apart.) C)   (Gridlines are spaced one unit apart.) D)   (Gridlines are spaced one unit apart.) <div style=padding-top: 35px>
(Gridlines are spaced one unit apart.)
C) <strong>Graph by plotting points or using the intercept method. 3x + 2y = 6</strong> A)   (Gridlines are spaced one unit apart.) B)   (Gridlines are spaced one unit apart.) C)   (Gridlines are spaced one unit apart.) D)   (Gridlines are spaced one unit apart.) <div style=padding-top: 35px>
(Gridlines are spaced one unit apart.)
D) <strong>Graph by plotting points or using the intercept method. 3x + 2y = 6</strong> A)   (Gridlines are spaced one unit apart.) B)   (Gridlines are spaced one unit apart.) C)   (Gridlines are spaced one unit apart.) D)   (Gridlines are spaced one unit apart.) <div style=padding-top: 35px>
(Gridlines are spaced one unit apart.)
سؤال
Graph using the intercept method.
x + 3y = 6
سؤال
Graph by plotting points or using the intercept method.
y = 4
سؤال
Compute the slope of the line through the points (6, 17) and (1, 7).
سؤال
Two points on L1 and two points on L2 are given. Use the slope formula to determine if lines L1 and L2 are parallel, perpendicular, or neither. L1: (-4, -7) and (1, 3)
L2: (2, 6) and (5, 12)

A) Parallel
B) Perpendicular
C) Neither
سؤال
Graph the linear equation using the y-intercept and the slope indicated.
y = 4x - 5
سؤال
Find the equation of the line in point-slope form, then write the equation in function form.
m = 2; P1 = (-7, -9)
سؤال
Use the following to answer questions :
4x - 10y = 20
Write the equation in the slope-intercept form.

A) <strong>Use the following to answer questions : 4x - 10y = 20 Write the equation in the slope-intercept form.</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Use the following to answer questions : 4x - 10y = 20 Write the equation in the slope-intercept form.</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Use the following to answer questions : 4x - 10y = 20 Write the equation in the slope-intercept form.</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Use the following to answer questions : 4x - 10y = 20 Write the equation in the slope-intercept form.</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Write the lines in slope-intercept form and state whether they are parallel, perpendicular, or neither. -8x + 6y = -1
4x + 3y = 11

A) Parallel
B) Perpendicular
C) Neither
سؤال
Use the following to answer questions :
A driver going down a straight highway is traveling at 70 ft/sec on cruise control when he begins accelerating at a rate of 4.2 ft/sec2. The final velocity of the car is given by the function <strong>Use the following to answer questions : A driver going down a straight highway is traveling at 70 ft/sec on cruise control when he begins accelerating at a rate of 4.2 ft/sec<sup>2</sup>. The final velocity of the car is given by the function   , where V(t) is the velocity at time t. If the car is traveling at 100 ft/sec, for how long did it accelerate? (Round to the nearest tenth of a second.)</strong> A) 6.9 seconds B) 7.1 seconds C) 7.3 seconds D) 7.5 seconds <div style=padding-top: 35px> , where V(t) is the velocity at time t.
If the car is traveling at 100 ft/sec, for how long did it accelerate? (Round to the nearest tenth of a second.)

A) 6.9 seconds
B) 7.1 seconds
C) 7.3 seconds
D) 7.5 seconds
سؤال
Graph the linear equation using the y-intercept and the slope indicated. <strong>Graph the linear equation using the y-intercept and the slope indicated.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A)
<strong>Graph the linear equation using the y-intercept and the slope indicated.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B)
<strong>Graph the linear equation using the y-intercept and the slope indicated.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C)
<strong>Graph the linear equation using the y-intercept and the slope indicated.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D)
<strong>Graph the linear equation using the y-intercept and the slope indicated.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Use the following to answer questions :
A line has slope m = <strong>Use the following to answer questions : A line has slope m =   and passes through the point P<sub>1</sub> = (2, -4). Write the equation in function form.</strong> A)   B)   C)   D)   <div style=padding-top: 35px> and passes through the point P1 = (2, -4).
Write the equation in function form.

A) <strong>Use the following to answer questions : A line has slope m =   and passes through the point P<sub>1</sub> = (2, -4). Write the equation in function form.</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Use the following to answer questions : A line has slope m =   and passes through the point P<sub>1</sub> = (2, -4). Write the equation in function form.</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Use the following to answer questions : A line has slope m =   and passes through the point P<sub>1</sub> = (2, -4). Write the equation in function form.</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Use the following to answer questions : A line has slope m =   and passes through the point P<sub>1</sub> = (2, -4). Write the equation in function form.</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Use the following to answer questions :
4x - 10y = 20
Identify the slope and y-intercept.
سؤال
Write the equation in slope-intercept form, then identify the slope and y-intercept.
y + 6x = 1
سؤال
Use the following to answer questions :
A line has slope m = <strong>Use the following to answer questions : A line has slope m =   and passes through the point P<sub>1</sub> = (2, -4). Find the equation of the line in point-slope form.</strong> A)   B)   C)   D)   <div style=padding-top: 35px> and passes through the point P1 = (2, -4).
Find the equation of the line in point-slope form.

A) <strong>Use the following to answer questions : A line has slope m =   and passes through the point P<sub>1</sub> = (2, -4). Find the equation of the line in point-slope form.</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Use the following to answer questions : A line has slope m =   and passes through the point P<sub>1</sub> = (2, -4). Find the equation of the line in point-slope form.</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Use the following to answer questions : A line has slope m =   and passes through the point P<sub>1</sub> = (2, -4). Find the equation of the line in point-slope form.</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Use the following to answer questions : A line has slope m =   and passes through the point P<sub>1</sub> = (2, -4). Find the equation of the line in point-slope form.</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Find the equation of the line perpendicular to x - 7y = 28 and through the point (1, -12). Write the answer in slope-intercept form.
سؤال
Use the slope-intercept formula to find the equation of the line with slope 5 and y-intercept (0, 3).

A) y = 3x + 5
B) 3x + 5y = 0
C) y = 5x + 3
D) 5y = 3
سؤال
Use the slope-intercept formula to find the equation of the line with slope with a slope of -4 if the point (4, -9) is on the line.
سؤال
Write the equation in slope-intercept form, then use the slope and intercept to graph the line.
5x + 2y = 6
سؤال
Write the lines in slope-intercept form and state whether they are parallel, perpendicular, or neither. 5y - 3x = 3
3y + 5x = 4

A) Parallel
B) Perpendicular
C) Neither
سؤال
Find the equation of the line which is parallel to -5x + 2y = 12 and through the point (10, 21). Write answer in slope-intercept form.

A) y = <strong>Find the equation of the line which is parallel to -5x + 2y = 12 and through the point (10, 21). Write answer in slope-intercept form.</strong> A) y =   B) y =   C) y =   D) y =   <div style=padding-top: 35px>
B) y = <strong>Find the equation of the line which is parallel to -5x + 2y = 12 and through the point (10, 21). Write answer in slope-intercept form.</strong> A) y =   B) y =   C) y =   D) y =   <div style=padding-top: 35px>
C) y = <strong>Find the equation of the line which is parallel to -5x + 2y = 12 and through the point (10, 21). Write answer in slope-intercept form.</strong> A) y =   B) y =   C) y =   D) y =   <div style=padding-top: 35px>
D) y = <strong>Find the equation of the line which is parallel to -5x + 2y = 12 and through the point (10, 21). Write answer in slope-intercept form.</strong> A) y =   B) y =   C) y =   D) y =   <div style=padding-top: 35px>
سؤال
Use the following to answer questions :
A driver going down a straight highway is traveling at 70 ft/sec on cruise control when he begins accelerating at a rate of 4.2 ft/sec2. The final velocity of the car is given by the function Use the following to answer questions : A driver going down a straight highway is traveling at 70 ft/sec on cruise control when he begins accelerating at a rate of 4.2 ft/sec<sup>2</sup>. The final velocity of the car is given by the function   , where V(t) is the velocity at time t. Interpret the meaning of the slope and y-intercept in this context.<div style=padding-top: 35px> , where V(t) is the velocity at time t.
Interpret the meaning of the slope and y-intercept in this context.
سؤال
Use the following to answer questions :
A driver going down a straight highway is traveling at 70 ft/sec on cruise control when he begins accelerating at a rate of 4.2 ft/sec2. The final velocity of the car is given by the function <strong>Use the following to answer questions : A driver going down a straight highway is traveling at 70 ft/sec on cruise control when he begins accelerating at a rate of 4.2 ft/sec<sup>2</sup>. The final velocity of the car is given by the function   , where V(t) is the velocity at time t. Determine the velocity of the car after 10.4 seconds.</strong> A) 111.40 ft/sec B) 112.32 ft/sec C) 113.68 ft/sec D) 114.54 ft/sec <div style=padding-top: 35px> , where V(t) is the velocity at time t.
Determine the velocity of the car after 10.4 seconds.

A) 111.40 ft/sec
B) 112.32 ft/sec
C) 113.68 ft/sec
D) 114.54 ft/sec
سؤال
Write the lines in slope-intercept form and state whether they are parallel, perpendicular, or neither. 7y - 4x = -7
-4x + 7y = 16

A) Parallel
B) Perpendicular
C) Neither
سؤال
Use the following to answer questions :
A line has slope m = Use the following to answer questions : A line has slope m =   and passes through the point P<sub>1</sub> = (2, -4). Graph the line.<div style=padding-top: 35px> and passes through the point P1 = (2, -4).
Graph the line.
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Deck 2: Relations, Functions and Graphs
1
Find the equation of a circle with center (2, -3) and the graph of which contains the point (3, 4), then sketch its graph.
(x - 2)2 + (y + 3)2 = 50 (x - 2)<sup>2</sup> + (y + 3)<sup>2</sup> = 50   (Gridlines are spaced one unit apart.) (Gridlines are spaced one unit apart.)
2
Write the equation in factored form to find the center and radius of the circle. Then sketch the graph. x2 + y2 + 6x - 8 = 0

A) (x + 3)2 + y2 = 16
<strong>Write the equation in factored form to find the center and radius of the circle. Then sketch the graph. x<sup>2</sup> + y<sup>2</sup> + 6x - 8 = 0</strong> A) (x + 3)<sup>2</sup> + y<sup>2</sup> = 16   (Gridlines are spaced one unit apart.) B) (x + 3)<sup>2</sup> + y<sup>2</sup> = 17   (Gridlines are spaced one unit apart.) C) (x - 3)<sup>2</sup> + y<sup>2</sup> = 16   (Gridlines are spaced one unit apart.) D) (x - 3)<sup>2</sup> + y<sup>2</sup> = 17   (Gridlines are spaced one unit apart.)
(Gridlines are spaced one unit apart.)
B) (x + 3)2 + y2 = 17
<strong>Write the equation in factored form to find the center and radius of the circle. Then sketch the graph. x<sup>2</sup> + y<sup>2</sup> + 6x - 8 = 0</strong> A) (x + 3)<sup>2</sup> + y<sup>2</sup> = 16   (Gridlines are spaced one unit apart.) B) (x + 3)<sup>2</sup> + y<sup>2</sup> = 17   (Gridlines are spaced one unit apart.) C) (x - 3)<sup>2</sup> + y<sup>2</sup> = 16   (Gridlines are spaced one unit apart.) D) (x - 3)<sup>2</sup> + y<sup>2</sup> = 17   (Gridlines are spaced one unit apart.)
(Gridlines are spaced one unit apart.)
C) (x - 3)2 + y2 = 16
<strong>Write the equation in factored form to find the center and radius of the circle. Then sketch the graph. x<sup>2</sup> + y<sup>2</sup> + 6x - 8 = 0</strong> A) (x + 3)<sup>2</sup> + y<sup>2</sup> = 16   (Gridlines are spaced one unit apart.) B) (x + 3)<sup>2</sup> + y<sup>2</sup> = 17   (Gridlines are spaced one unit apart.) C) (x - 3)<sup>2</sup> + y<sup>2</sup> = 16   (Gridlines are spaced one unit apart.) D) (x - 3)<sup>2</sup> + y<sup>2</sup> = 17   (Gridlines are spaced one unit apart.)
(Gridlines are spaced one unit apart.)
D) (x - 3)2 + y2 = 17
<strong>Write the equation in factored form to find the center and radius of the circle. Then sketch the graph. x<sup>2</sup> + y<sup>2</sup> + 6x - 8 = 0</strong> A) (x + 3)<sup>2</sup> + y<sup>2</sup> = 16   (Gridlines are spaced one unit apart.) B) (x + 3)<sup>2</sup> + y<sup>2</sup> = 17   (Gridlines are spaced one unit apart.) C) (x - 3)<sup>2</sup> + y<sup>2</sup> = 16   (Gridlines are spaced one unit apart.) D) (x - 3)<sup>2</sup> + y<sup>2</sup> = 17   (Gridlines are spaced one unit apart.)
(Gridlines are spaced one unit apart.)
(x + 3)2 + y2 = 17
(x + 3)<sup>2</sup> + y<sup>2</sup> = 17   (Gridlines are spaced one unit apart.)
(Gridlines are spaced one unit apart.)
3
Use the distance formula to find the length of the line segment. <strong>Use the distance formula to find the length of the line segment.   (Gridlines are spaced one unit apart.)</strong> A) 7 B)   C)   D)   (Gridlines are spaced one unit apart.)

A) 7
B) <strong>Use the distance formula to find the length of the line segment.   (Gridlines are spaced one unit apart.)</strong> A) 7 B)   C)   D)
C) <strong>Use the distance formula to find the length of the line segment.   (Gridlines are spaced one unit apart.)</strong> A) 7 B)   C)   D)
D) <strong>Use the distance formula to find the length of the line segment.   (Gridlines are spaced one unit apart.)</strong> A) 7 B)   C)   D)
4
Find the equation of a circle whose diameter has endpoints (2, -7) and (2, 1), then sketch its graph.
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5
Determine whether the mapping represents a function or nonfunction. If a nonfunction, explain how the definition of a function is violated. <strong>Determine whether the mapping represents a function or nonfunction. If a nonfunction, explain how the definition of a function is violated.  </strong> A) Function. B) Not a function. Amy is paired with two parents. C) Not a function. Two children are paired with Bob. D) Not a function. Some parents are paired with only one child.

A) Function.
B) Not a function. Amy is paired with two parents.
C) Not a function. Two children are paired with Bob.
D) Not a function. Some parents are paired with only one child.
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6
Determine whether the relation represents a function or a nonfunction. If the relation is a nonfunction, explain how the definition of a function is violated. {(2, -5), (-1, -4), (4, -7), (1, -2), (-1, -6), (6, -8)}

A) Function
B) Not a function; -1 is paired with -4 and -6.
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7
Find the equation of a circle with center (-7, 6) and radius <strong>Find the equation of a circle with center (-7, 6) and radius   .</strong> A) (x + 7)<sup>2</sup> + (y - 6)<sup>2</sup> =   B) (x - 7)<sup>2</sup> + (y + 6)<sup>2</sup> =   C) (x + 7)<sup>2</sup> + (y - 6)<sup>2</sup> = 5 D) (x - 7)<sup>2</sup> + (y + 6)<sup>2</sup> = 5 .

A) (x + 7)2 + (y - 6)2 = <strong>Find the equation of a circle with center (-7, 6) and radius   .</strong> A) (x + 7)<sup>2</sup> + (y - 6)<sup>2</sup> =   B) (x - 7)<sup>2</sup> + (y + 6)<sup>2</sup> =   C) (x + 7)<sup>2</sup> + (y - 6)<sup>2</sup> = 5 D) (x - 7)<sup>2</sup> + (y + 6)<sup>2</sup> = 5
B) (x - 7)2 + (y + 6)2 = <strong>Find the equation of a circle with center (-7, 6) and radius   .</strong> A) (x + 7)<sup>2</sup> + (y - 6)<sup>2</sup> =   B) (x - 7)<sup>2</sup> + (y + 6)<sup>2</sup> =   C) (x + 7)<sup>2</sup> + (y - 6)<sup>2</sup> = 5 D) (x - 7)<sup>2</sup> + (y + 6)<sup>2</sup> = 5
C) (x + 7)2 + (y - 6)2 = 5
D) (x - 7)2 + (y + 6)2 = 5
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8
Find the midpoint of the segment with endpoints (5, 7) and (3, -5).

A) (8, 2)
B) (2, 12)
C) (4, 1)
D) (1, 6)
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9
Complete the table using the given equation. Use these points to graph the relation. Complete the table using the given equation. Use these points to graph the relation.    Complete the table using the given equation. Use these points to graph the relation.
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10
Find the equation of a circle with center (0, 0) and radius 10.
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11
Identify the center and radius of the circle, then graph. Also, state the domain and range of the relation.
(x - 2)2 + (y - 1)2 = 9
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12
Identify the center and radius of the circle.
x2 + (y - 8)2 = 4.
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13
Identify the center and radius of the circle. (x + 6)2 + (y - 4)2 = 16.

A) center (-6, 4) and radius 4
B) center (6, -4) and radius 4
C) center (-6, 4) and radius 16
D) center (6, -4) and radius 16
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14
Find the equation of a circle with center (-1, 2) and radius Find the equation of a circle with center (-1, 2) and radius   . Then sketch its graph. . Then sketch its graph.
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15
Complete the table using the given equation. If an x input corresponds to two possible y outputs, be sure to find both.
|y - 3| = x
Complete the table using the given equation. If an x input corresponds to two possible y outputs, be sure to find both. |y - 3| = x
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16
Find the equation of a circle with center (0, 0) and radius 4. Then sketch its graph.
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17
Find the equation of a circle with center (0, 2) and radius <strong>Find the equation of a circle with center (0, 2) and radius   . Then sketch its graph.</strong> A) x<sup>2</sup> + (y - 2)<sup>2</sup> =     (Gridlines are spaced one unit apart.) B) x<sup>2</sup> + (y - 2)<sup>2</sup> = 6   (Gridlines are spaced one unit apart.) C) x<sup>2</sup> + (y - 2)<sup>2</sup> =     (Gridlines are spaced one unit apart.) D) x<sup>2</sup> + (y - 2)<sup>2</sup> = 6   (Gridlines are spaced one unit apart.) . Then sketch its graph.

A) x2 + (y - 2)2 = <strong>Find the equation of a circle with center (0, 2) and radius   . Then sketch its graph.</strong> A) x<sup>2</sup> + (y - 2)<sup>2</sup> =     (Gridlines are spaced one unit apart.) B) x<sup>2</sup> + (y - 2)<sup>2</sup> = 6   (Gridlines are spaced one unit apart.) C) x<sup>2</sup> + (y - 2)<sup>2</sup> =     (Gridlines are spaced one unit apart.) D) x<sup>2</sup> + (y - 2)<sup>2</sup> = 6   (Gridlines are spaced one unit apart.)
<strong>Find the equation of a circle with center (0, 2) and radius   . Then sketch its graph.</strong> A) x<sup>2</sup> + (y - 2)<sup>2</sup> =     (Gridlines are spaced one unit apart.) B) x<sup>2</sup> + (y - 2)<sup>2</sup> = 6   (Gridlines are spaced one unit apart.) C) x<sup>2</sup> + (y - 2)<sup>2</sup> =     (Gridlines are spaced one unit apart.) D) x<sup>2</sup> + (y - 2)<sup>2</sup> = 6   (Gridlines are spaced one unit apart.)
(Gridlines are spaced one unit apart.)
B) x2 + (y - 2)2 = 6
<strong>Find the equation of a circle with center (0, 2) and radius   . Then sketch its graph.</strong> A) x<sup>2</sup> + (y - 2)<sup>2</sup> =     (Gridlines are spaced one unit apart.) B) x<sup>2</sup> + (y - 2)<sup>2</sup> = 6   (Gridlines are spaced one unit apart.) C) x<sup>2</sup> + (y - 2)<sup>2</sup> =     (Gridlines are spaced one unit apart.) D) x<sup>2</sup> + (y - 2)<sup>2</sup> = 6   (Gridlines are spaced one unit apart.)
(Gridlines are spaced one unit apart.)
C) x2 + (y - 2)2 = <strong>Find the equation of a circle with center (0, 2) and radius   . Then sketch its graph.</strong> A) x<sup>2</sup> + (y - 2)<sup>2</sup> =     (Gridlines are spaced one unit apart.) B) x<sup>2</sup> + (y - 2)<sup>2</sup> = 6   (Gridlines are spaced one unit apart.) C) x<sup>2</sup> + (y - 2)<sup>2</sup> =     (Gridlines are spaced one unit apart.) D) x<sup>2</sup> + (y - 2)<sup>2</sup> = 6   (Gridlines are spaced one unit apart.)
<strong>Find the equation of a circle with center (0, 2) and radius   . Then sketch its graph.</strong> A) x<sup>2</sup> + (y - 2)<sup>2</sup> =     (Gridlines are spaced one unit apart.) B) x<sup>2</sup> + (y - 2)<sup>2</sup> = 6   (Gridlines are spaced one unit apart.) C) x<sup>2</sup> + (y - 2)<sup>2</sup> =     (Gridlines are spaced one unit apart.) D) x<sup>2</sup> + (y - 2)<sup>2</sup> = 6   (Gridlines are spaced one unit apart.)
(Gridlines are spaced one unit apart.)
D) x2 + (y - 2)2 = 6
<strong>Find the equation of a circle with center (0, 2) and radius   . Then sketch its graph.</strong> A) x<sup>2</sup> + (y - 2)<sup>2</sup> =     (Gridlines are spaced one unit apart.) B) x<sup>2</sup> + (y - 2)<sup>2</sup> = 6   (Gridlines are spaced one unit apart.) C) x<sup>2</sup> + (y - 2)<sup>2</sup> =     (Gridlines are spaced one unit apart.) D) x<sup>2</sup> + (y - 2)<sup>2</sup> = 6   (Gridlines are spaced one unit apart.)
(Gridlines are spaced one unit apart.)
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18
Determine whether the relation represents a function or a nonfunction. If the relation is a nonfunction, explain how the definition of a function is violated. {(-9, 10), (-12, 11), (-7, 8), (-10, 13), (-13, 11), (-5, 7)}

A) Function
B) Nonfunction; -12 and -13 are both paired with 11.
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19
Write the equation in factored form to find the center and radius of the circle.
x2 + y2 + 14x - 2y + 3 = 0
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20
State the domain and range of the relation.
{(5, 8), (6, 9), (7, 10), (8, 11)}
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21
Use the following to answer questions :
A car rental company charges a flat fee of $21.50 and an hourly charge of $14.50. This means that cost is a function of the hours the car is rented plus the flat fee.
Write this relationship in equation form.
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22
Determine the value of f(18) if f(x) = -Determine the value of f(18) if f(x) = -  x + 1. x + 1.
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23
Determine the value of g(2a) if g(x) = 4x + 1.
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24
Use the following to answer questions :
A car rental company charges a flat fee of $21.50 and an hourly charge of $14.50. This means that cost is a function of the hours the car is rented plus the flat fee.
Find the cost if the car is rented for 5.5 hr.

A) $41.50
B) $101.25
C) $36.00
D) $132.75
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25
Determine the value of f(-6) if f(x) = -x2 - 4x.

A) 30
B) -12
C) 36
D) -40
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26
Use the following to answer questions :
h(x) = <strong>Use the following to answer questions : h(x) =   Determine the value of   .</strong> A) -3 B)   C)   D)
Determine the value of <strong>Use the following to answer questions : h(x) =   Determine the value of   .</strong> A) -3 B)   C)   D)   .

A) -3
B) <strong>Use the following to answer questions : h(x) =   Determine the value of   .</strong> A) -3 B)   C)   D)
C) <strong>Use the following to answer questions : h(x) =   Determine the value of   .</strong> A) -3 B)   C)   D)
D) <strong>Use the following to answer questions : h(x) =   Determine the value of   .</strong> A) -3 B)   C)   D)
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27
Use the following to answer questions :
h(x) = Use the following to answer questions : h(x) =   Determine the value of h(a - 2).
Determine the value of h(a - 2).
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28
Determine whether the relation represents a function or nonfunction, then determine the domain and range of the relation. Determine whether the relation represents a function or nonfunction, then determine the domain and range of the relation.   (Gridlines are spaced one unit apart.) (Gridlines are spaced one unit apart.)
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29
Use the following to answer questions :
h(x) = Use the following to answer questions : h(x) =   Determine the value of h(4).
Determine the value of h(4).
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30
Determine the value of f(a + 1) if f(x) = -5x + 1, then simplify as much as possible.

A) -5a - 4
B) -5a + 2
C) a - 3
D) a - 4
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31
Determine the domain of the function. Determine the domain of the function.
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32
Determine whether the relation represents a function or nonfunction. If a nonfunction, explain how the definition of a function is violated. Determine whether the relation represents a function or nonfunction. If a nonfunction, explain how the definition of a function is violated.   (Gridlines are spaced one unit apart.) (Gridlines are spaced one unit apart.)
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33
Determine whether the relation represents a function or nonfunction, then determine the domain and range. <strong>Determine whether the relation represents a function or nonfunction, then determine the domain and range.   (Gridlines are spaced one unit apart.)</strong> A) Function     B) Not a function     C) Function     D) Not a function     (Gridlines are spaced one unit apart.)

A) Function
<strong>Determine whether the relation represents a function or nonfunction, then determine the domain and range.   (Gridlines are spaced one unit apart.)</strong> A) Function     B) Not a function     C) Function     D) Not a function
<strong>Determine whether the relation represents a function or nonfunction, then determine the domain and range.   (Gridlines are spaced one unit apart.)</strong> A) Function     B) Not a function     C) Function     D) Not a function
B) Not a function
<strong>Determine whether the relation represents a function or nonfunction, then determine the domain and range.   (Gridlines are spaced one unit apart.)</strong> A) Function     B) Not a function     C) Function     D) Not a function
<strong>Determine whether the relation represents a function or nonfunction, then determine the domain and range.   (Gridlines are spaced one unit apart.)</strong> A) Function     B) Not a function     C) Function     D) Not a function
C) Function
<strong>Determine whether the relation represents a function or nonfunction, then determine the domain and range.   (Gridlines are spaced one unit apart.)</strong> A) Function     B) Not a function     C) Function     D) Not a function
<strong>Determine whether the relation represents a function or nonfunction, then determine the domain and range.   (Gridlines are spaced one unit apart.)</strong> A) Function     B) Not a function     C) Function     D) Not a function
D) Not a function
<strong>Determine whether the relation represents a function or nonfunction, then determine the domain and range.   (Gridlines are spaced one unit apart.)</strong> A) Function     B) Not a function     C) Function     D) Not a function
<strong>Determine whether the relation represents a function or nonfunction, then determine the domain and range.   (Gridlines are spaced one unit apart.)</strong> A) Function     B) Not a function     C) Function     D) Not a function
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34
Determine the domain of the function.  <strong>Determine the domain of the function.  </strong> A) x  \in   B) x  \in    C) x  \in    D) x  \in

A) x \in  <strong>Determine the domain of the function.  </strong> A) x  \in   B) x  \in    C) x  \in    D) x  \in
B) x \in  <strong>Determine the domain of the function.  </strong> A) x  \in   B) x  \in    C) x  \in    D) x  \in
C) x \in  <strong>Determine the domain of the function.  </strong> A) x  \in   B) x  \in    C) x  \in    D) x  \in
D) x \in  <strong>Determine the domain of the function.  </strong> A) x  \in   B) x  \in    C) x  \in    D) x  \in
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35
Determine the domain of the function. Determine the domain of the function.
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36
Determine whether the relation represents a function or nonfunction. If a nonfunction, explain how the definition of a function is violated. <strong>Determine whether the relation represents a function or nonfunction. If a nonfunction, explain how the definition of a function is violated.   (Gridlines are spaced one unit apart.)</strong> A) Function B) Not a function; 5 and -5 are paired with 0. C) Not a function; 0 is paired with 3 and -3. D) Not a function; 6 is not paired with anything. (Gridlines are spaced one unit apart.)

A) Function
B) Not a function; 5 and -5 are paired with 0.
C) Not a function; 0 is paired with 3 and -3.
D) Not a function; 6 is not paired with anything.
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37
Use the following to answer questions :
A car rental company charges a flat fee of $21.50 and an hourly charge of $14.50. This means that cost is a function of the hours the car is rented plus the flat fee.

-Determine the domain and range of the function in this context, if your budget limits you to paying a maximum of $210 for the rental.
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38
Use the following to answer questions :
h(x) = <strong>Use the following to answer questions : h(x) =   Determine the value of h(4a).</strong> A) a B)   C) 16a D)
Determine the value of h(4a).

A) a
B) <strong>Use the following to answer questions : h(x) =   Determine the value of h(4a).</strong> A) a B)   C) 16a D)
C) 16a
D) <strong>Use the following to answer questions : h(x) =   Determine the value of h(4a).</strong> A) a B)   C) 16a D)
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39
Use the following to answer questions :
A car rental company charges a flat fee of $21.50 and an hourly charge of $14.50. This means that cost is a function of the hours the car is rented plus the flat fee.
Determine how long the car was rented if the bill came to $152.00.

A) 9 hours
B) 10 hours
C) 11 hours
D) 12 hours
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40
Graph using the intercept method.
2x + y = 4
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41
Graph by plotting points or using the intercept method.
y = -1
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42
Write the equation in function form and identify the new coefficient of x and the new constant term.
5y + 6x = -40
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43
Graph by plotting points or using the intercept method. Choose inputs that will help simplify the calculation.
3x + 5y = -6
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44
Two points on L1 and two points on L2 are given. Use the slope formula to determine if lines L1 and L2 are parallel, perpendicular, or neither. L1: (9, 2) and (3, -8)
L2: (5, 5) and (-5, -1)

A) Parallel
B) Perpendicular
C) Neither
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45
Two points on L1 and two points on L2 are given. Use the slope formula to determine if lines L1 and L2 are parallel, perpendicular, or neither. L1: (2, 0) and (6, 2)
L2: (6, -5) and (8, -9)

A) Parallel
B) Perpendicular
C) Neither
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46
Compute the slope of the line through the points (4, 4) and (-4, -7).

A) <strong>Compute the slope of the line through the points (4, 4) and (-4, -7).</strong> A)   B)   C)   D)
B) <strong>Compute the slope of the line through the points (4, 4) and (-4, -7).</strong> A)   B)   C)   D)
C) <strong>Compute the slope of the line through the points (4, 4) and (-4, -7).</strong> A)   B)   C)   D)
D) <strong>Compute the slope of the line through the points (4, 4) and (-4, -7).</strong> A)   B)   C)   D)
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47
Two points on L1 and two points on L2 are given. Use the slope formula to determine if lines L1 and L2 are parallel, perpendicular, or neither. L1: (3, 4) and (7, 11)
L2: (9, -9) and (5, -16)

A) Parallel
B) Perpendicular
C) Neither
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48
Evaluate the function by selecting three inputs that will result in integer values. Then graph the line. Evaluate the function by selecting three inputs that will result in integer values. Then graph the line.
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49
Graph by plotting points or using the intercept method.
y - 3x = 0
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50
Graph by plotting points or using the intercept method. x = 3

A)
<strong>Graph by plotting points or using the intercept method. x = 3</strong> A)   (Gridlines are spaced one unit apart.) B)   (Gridlines are spaced one unit apart.) C)   (Gridlines are spaced one unit apart.) D)   (Gridlines are spaced one unit apart.)
(Gridlines are spaced one unit apart.)
B)
<strong>Graph by plotting points or using the intercept method. x = 3</strong> A)   (Gridlines are spaced one unit apart.) B)   (Gridlines are spaced one unit apart.) C)   (Gridlines are spaced one unit apart.) D)   (Gridlines are spaced one unit apart.)
(Gridlines are spaced one unit apart.)
C)
<strong>Graph by plotting points or using the intercept method. x = 3</strong> A)   (Gridlines are spaced one unit apart.) B)   (Gridlines are spaced one unit apart.) C)   (Gridlines are spaced one unit apart.) D)   (Gridlines are spaced one unit apart.)
(Gridlines are spaced one unit apart.)
D)
<strong>Graph by plotting points or using the intercept method. x = 3</strong> A)   (Gridlines are spaced one unit apart.) B)   (Gridlines are spaced one unit apart.) C)   (Gridlines are spaced one unit apart.) D)   (Gridlines are spaced one unit apart.)
(Gridlines are spaced one unit apart.)
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51
Graph by plotting points or using the intercept method.
x = -2
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52
Graph by plotting points or using the intercept method. Plot at least three points. Choose inputs that will help simplify the calculation. Graph by plotting points or using the intercept method. Plot at least three points. Choose inputs that will help simplify the calculation.
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53
Use the following to answer questions :
A business purchases a copier for $9500 and anticipates it will depreciate in value $850 per year.
How many years will it take for the copier's value to decrease to $4350?
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54
Use the following to answer questions :
A business purchases a copier for $9500 and anticipates it will depreciate in value $850 per year.
What is the copier's value after 2 years of use?

A) $5150
B) $5200
C) $5250
D) $5300
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55
Compute the slope of the line through the points (-5, -1) and (-1, -5).
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56
Graph by plotting points or using the intercept method. 3x + 2y = 6

A) <strong>Graph by plotting points or using the intercept method. 3x + 2y = 6</strong> A)   (Gridlines are spaced one unit apart.) B)   (Gridlines are spaced one unit apart.) C)   (Gridlines are spaced one unit apart.) D)   (Gridlines are spaced one unit apart.)
(Gridlines are spaced one unit apart.)
B) <strong>Graph by plotting points or using the intercept method. 3x + 2y = 6</strong> A)   (Gridlines are spaced one unit apart.) B)   (Gridlines are spaced one unit apart.) C)   (Gridlines are spaced one unit apart.) D)   (Gridlines are spaced one unit apart.)
(Gridlines are spaced one unit apart.)
C) <strong>Graph by plotting points or using the intercept method. 3x + 2y = 6</strong> A)   (Gridlines are spaced one unit apart.) B)   (Gridlines are spaced one unit apart.) C)   (Gridlines are spaced one unit apart.) D)   (Gridlines are spaced one unit apart.)
(Gridlines are spaced one unit apart.)
D) <strong>Graph by plotting points or using the intercept method. 3x + 2y = 6</strong> A)   (Gridlines are spaced one unit apart.) B)   (Gridlines are spaced one unit apart.) C)   (Gridlines are spaced one unit apart.) D)   (Gridlines are spaced one unit apart.)
(Gridlines are spaced one unit apart.)
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57
Graph using the intercept method.
x + 3y = 6
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58
Graph by plotting points or using the intercept method.
y = 4
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59
Compute the slope of the line through the points (6, 17) and (1, 7).
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60
Two points on L1 and two points on L2 are given. Use the slope formula to determine if lines L1 and L2 are parallel, perpendicular, or neither. L1: (-4, -7) and (1, 3)
L2: (2, 6) and (5, 12)

A) Parallel
B) Perpendicular
C) Neither
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61
Graph the linear equation using the y-intercept and the slope indicated.
y = 4x - 5
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62
Find the equation of the line in point-slope form, then write the equation in function form.
m = 2; P1 = (-7, -9)
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63
Use the following to answer questions :
4x - 10y = 20
Write the equation in the slope-intercept form.

A) <strong>Use the following to answer questions : 4x - 10y = 20 Write the equation in the slope-intercept form.</strong> A)   B)   C)   D)
B) <strong>Use the following to answer questions : 4x - 10y = 20 Write the equation in the slope-intercept form.</strong> A)   B)   C)   D)
C) <strong>Use the following to answer questions : 4x - 10y = 20 Write the equation in the slope-intercept form.</strong> A)   B)   C)   D)
D) <strong>Use the following to answer questions : 4x - 10y = 20 Write the equation in the slope-intercept form.</strong> A)   B)   C)   D)
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64
Write the lines in slope-intercept form and state whether they are parallel, perpendicular, or neither. -8x + 6y = -1
4x + 3y = 11

A) Parallel
B) Perpendicular
C) Neither
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65
Use the following to answer questions :
A driver going down a straight highway is traveling at 70 ft/sec on cruise control when he begins accelerating at a rate of 4.2 ft/sec2. The final velocity of the car is given by the function <strong>Use the following to answer questions : A driver going down a straight highway is traveling at 70 ft/sec on cruise control when he begins accelerating at a rate of 4.2 ft/sec<sup>2</sup>. The final velocity of the car is given by the function   , where V(t) is the velocity at time t. If the car is traveling at 100 ft/sec, for how long did it accelerate? (Round to the nearest tenth of a second.)</strong> A) 6.9 seconds B) 7.1 seconds C) 7.3 seconds D) 7.5 seconds , where V(t) is the velocity at time t.
If the car is traveling at 100 ft/sec, for how long did it accelerate? (Round to the nearest tenth of a second.)

A) 6.9 seconds
B) 7.1 seconds
C) 7.3 seconds
D) 7.5 seconds
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66
Graph the linear equation using the y-intercept and the slope indicated. <strong>Graph the linear equation using the y-intercept and the slope indicated.  </strong> A)   B)   C)   D)

A)
<strong>Graph the linear equation using the y-intercept and the slope indicated.  </strong> A)   B)   C)   D)
B)
<strong>Graph the linear equation using the y-intercept and the slope indicated.  </strong> A)   B)   C)   D)
C)
<strong>Graph the linear equation using the y-intercept and the slope indicated.  </strong> A)   B)   C)   D)
D)
<strong>Graph the linear equation using the y-intercept and the slope indicated.  </strong> A)   B)   C)   D)
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67
Use the following to answer questions :
A line has slope m = <strong>Use the following to answer questions : A line has slope m =   and passes through the point P<sub>1</sub> = (2, -4). Write the equation in function form.</strong> A)   B)   C)   D)   and passes through the point P1 = (2, -4).
Write the equation in function form.

A) <strong>Use the following to answer questions : A line has slope m =   and passes through the point P<sub>1</sub> = (2, -4). Write the equation in function form.</strong> A)   B)   C)   D)
B) <strong>Use the following to answer questions : A line has slope m =   and passes through the point P<sub>1</sub> = (2, -4). Write the equation in function form.</strong> A)   B)   C)   D)
C) <strong>Use the following to answer questions : A line has slope m =   and passes through the point P<sub>1</sub> = (2, -4). Write the equation in function form.</strong> A)   B)   C)   D)
D) <strong>Use the following to answer questions : A line has slope m =   and passes through the point P<sub>1</sub> = (2, -4). Write the equation in function form.</strong> A)   B)   C)   D)
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68
Use the following to answer questions :
4x - 10y = 20
Identify the slope and y-intercept.
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69
Write the equation in slope-intercept form, then identify the slope and y-intercept.
y + 6x = 1
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70
Use the following to answer questions :
A line has slope m = <strong>Use the following to answer questions : A line has slope m =   and passes through the point P<sub>1</sub> = (2, -4). Find the equation of the line in point-slope form.</strong> A)   B)   C)   D)   and passes through the point P1 = (2, -4).
Find the equation of the line in point-slope form.

A) <strong>Use the following to answer questions : A line has slope m =   and passes through the point P<sub>1</sub> = (2, -4). Find the equation of the line in point-slope form.</strong> A)   B)   C)   D)
B) <strong>Use the following to answer questions : A line has slope m =   and passes through the point P<sub>1</sub> = (2, -4). Find the equation of the line in point-slope form.</strong> A)   B)   C)   D)
C) <strong>Use the following to answer questions : A line has slope m =   and passes through the point P<sub>1</sub> = (2, -4). Find the equation of the line in point-slope form.</strong> A)   B)   C)   D)
D) <strong>Use the following to answer questions : A line has slope m =   and passes through the point P<sub>1</sub> = (2, -4). Find the equation of the line in point-slope form.</strong> A)   B)   C)   D)
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71
Find the equation of the line perpendicular to x - 7y = 28 and through the point (1, -12). Write the answer in slope-intercept form.
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72
Use the slope-intercept formula to find the equation of the line with slope 5 and y-intercept (0, 3).

A) y = 3x + 5
B) 3x + 5y = 0
C) y = 5x + 3
D) 5y = 3
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73
Use the slope-intercept formula to find the equation of the line with slope with a slope of -4 if the point (4, -9) is on the line.
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74
Write the equation in slope-intercept form, then use the slope and intercept to graph the line.
5x + 2y = 6
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75
Write the lines in slope-intercept form and state whether they are parallel, perpendicular, or neither. 5y - 3x = 3
3y + 5x = 4

A) Parallel
B) Perpendicular
C) Neither
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76
Find the equation of the line which is parallel to -5x + 2y = 12 and through the point (10, 21). Write answer in slope-intercept form.

A) y = <strong>Find the equation of the line which is parallel to -5x + 2y = 12 and through the point (10, 21). Write answer in slope-intercept form.</strong> A) y =   B) y =   C) y =   D) y =
B) y = <strong>Find the equation of the line which is parallel to -5x + 2y = 12 and through the point (10, 21). Write answer in slope-intercept form.</strong> A) y =   B) y =   C) y =   D) y =
C) y = <strong>Find the equation of the line which is parallel to -5x + 2y = 12 and through the point (10, 21). Write answer in slope-intercept form.</strong> A) y =   B) y =   C) y =   D) y =
D) y = <strong>Find the equation of the line which is parallel to -5x + 2y = 12 and through the point (10, 21). Write answer in slope-intercept form.</strong> A) y =   B) y =   C) y =   D) y =
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77
Use the following to answer questions :
A driver going down a straight highway is traveling at 70 ft/sec on cruise control when he begins accelerating at a rate of 4.2 ft/sec2. The final velocity of the car is given by the function Use the following to answer questions : A driver going down a straight highway is traveling at 70 ft/sec on cruise control when he begins accelerating at a rate of 4.2 ft/sec<sup>2</sup>. The final velocity of the car is given by the function   , where V(t) is the velocity at time t. Interpret the meaning of the slope and y-intercept in this context. , where V(t) is the velocity at time t.
Interpret the meaning of the slope and y-intercept in this context.
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78
Use the following to answer questions :
A driver going down a straight highway is traveling at 70 ft/sec on cruise control when he begins accelerating at a rate of 4.2 ft/sec2. The final velocity of the car is given by the function <strong>Use the following to answer questions : A driver going down a straight highway is traveling at 70 ft/sec on cruise control when he begins accelerating at a rate of 4.2 ft/sec<sup>2</sup>. The final velocity of the car is given by the function   , where V(t) is the velocity at time t. Determine the velocity of the car after 10.4 seconds.</strong> A) 111.40 ft/sec B) 112.32 ft/sec C) 113.68 ft/sec D) 114.54 ft/sec , where V(t) is the velocity at time t.
Determine the velocity of the car after 10.4 seconds.

A) 111.40 ft/sec
B) 112.32 ft/sec
C) 113.68 ft/sec
D) 114.54 ft/sec
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79
Write the lines in slope-intercept form and state whether they are parallel, perpendicular, or neither. 7y - 4x = -7
-4x + 7y = 16

A) Parallel
B) Perpendicular
C) Neither
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80
Use the following to answer questions :
A line has slope m = Use the following to answer questions : A line has slope m =   and passes through the point P<sub>1</sub> = (2, -4). Graph the line. and passes through the point P1 = (2, -4).
Graph the line.
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