Question 1

Graph the equation.
-$y = - \frac { 2 } { 5 } x + 2$

A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the equation.
-\(y = - \frac {...

Question 2

Graph the equation.
-y = -3x - 1

A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the equation.
-y = -3x - 1

A)...

Question 3

Determine whether the given ordered pair is a solution to the given equation.
-$( - 2 , - 3 ) ; 3 x ^ { 2 } + 7 x y + 2 y ^ { 2 } = 72$
A)yes
B)no

Accepted Answer

The answer of Determine whether the given ordered pair is...

Question 4

Graph the equation.
-$y = | x | - 6$

A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the equation.
-\(y = | x |...

Question 5

Determine whether the given ordered pair is a solution to the given equation.
-$$( 6 , - 5 ) ; 3 x ^ { 2 } + 8 x y - 2 y ^ { 2 } = - 237$$
A)yes
B)no

Accepted Answer

The answer of Determine whether the given ordered pair is...

Question 6

Graph the equation.
-$y = \frac { 1 } { 2 } x + 3$

A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the equation.
-\(y = \frac { 1...

Question 7

Graph the equation.
-$y = - | x | + 3$

A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the equation.
-\(y = - | x...

Question 8

Determine whether the given ordered pair is a solution to the given equation.
-(4, 26); y = 7x + 2
A)yes
B)no

Accepted Answer

The answer of Determine whether the given ordered pair is...

Question 9

Determine whether the given ordered pair is a solution to the given equation.
-$( 15,11 ) ; y = | x - 4 |$
A)yes
B)no

Accepted Answer

Substituting $x = 15$ into the equation $y = |x - 4|$ gives $y = |15 - 4| = 11$, which matches the given ordered pair $(15, 11)$.

Question 10

Graph the equation.
-$y = x ^ { 3 } - 5$

A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the equation.
-\(y = x ^ {...

Question 11

Determine whether the given ordered pair is a solution to the given equation.
-$( 1 , - 6 ) ; y = x ^ { 2 } - 3 x - 4$
A)yes
B)no

Accepted Answer

Substituting $x = 1$ into the equation $y = x^2 - 3x - 4$, we get $y = 1^2 - 3(1) - 4 = 1 - 3 - 4 = -6$. Since this matches the given ordered pair $(1, -6)$, the ordered pair is indeed a solution to the equation.

Question 12

Determine whether the given ordered pair is a solution to the given equation.
-$\left( \frac { 7 } { 10 } , 1 \right) ; 40 x + 7 y = 29$
A)yes
B)no

Accepted Answer

The answer of Determine whether the given ordered pair is...

Question 13

Graph the equation.
-$y = 2 x - 3$

A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the equation.
-\(y = 2 x -...

Question 14

Graph the equation.
-y = x 
A) 
B) 
C) 
D)

Accepted Answer

The equation y = x represents a straight line with a slope of 1 (meaning the line goes up one unit for every one unit it moves horizontally) and a y-intercept of 0. Choice B shows a line passing through the origin (0,0) with the correct slope, so it is the best choice. The equation is a simple linear equation with a slope of 1 (since the coefficient of x is 1). This means that the graph will be a straight line that passes through the origin with a slope of 1. Choice B shows a line that fits this description. The other choices either do not pass through the origin or do not have a slope of 1.

Question 15

Determine whether the given ordered pair is a solution to the given equation.
-(4, 40); y = 9x + 4
A)yes
B)no

Accepted Answer

To check if a given ordered pair is a solution to an equation, we substitute the values of x and y from the ordered pair into the equation and see if the equation is true.

For the given ordered pair (4, 40) and equation y = 9x + 4, we substitute x=4 and y=40:

y = 9x + 4
40 = 9(4) + 4 
40 = 36 + 4 
40 = 40

Since the equation is true, the ordered pair (4, 40) is a solution to the equation y = 9x + 4. Therefore, the answer is A. To check if the ordered pair (4,40) is a solution to the equation y = 9x + 4, we substitute 4 for x and 40 for y in the equation.
y = 9x + 4
40 = 9(4) + 4
40 = 36 + 4
40 = 40
Since the equation is true when we substitute 4 for x and 40 for y, the ordered pair (4,40) is a solution to the equation. Therefore, the answer is A)yes.

Question 16

Determine whether the given ordered pair is a solution to the given equation.
-$( 2,10 ) ; y = x ^ { 2 } + 2 x - 2$
A)yes
B)no

Accepted Answer

The answer of Determine whether the given ordered pair is...

Question 17

Determine whether the given ordered pair is a solution to the given equation.
-$( 16,26 ) ; y = | x - 10 |$
A)yes
B)no

Accepted Answer

The answer of Determine whether the given ordered pair is...

Question 18

Determine whether the given ordered pair is a solution to the given equation.
-$\left( \frac { 5 } { 7 } , - 1 \right) ; 35 x + 2 y = 23$
A)yes
B)no

Accepted Answer

Substituting $x = \frac{5}{7}$ and $y = -1$ into the equation $35x + 2y = 23$, we get $35\left(\frac{5}{7}\right) + 2(-1) = 25 - 2 = 23$, which matches the right side of the equation, thus the ordered pair is a solution.

Question 19

Graph the equation.
-$y = \frac { 1 } { x }$

A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the equation.
-\(y = \frac { 1...

Question 20

Graph the equation.
-$y = x ^ { 2 } + 1$

A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the equation.
-\(y = x ^ {...

Quiz 3: Graphs and Functions

Graph the equation. - $y = - \frac { 2 } { 5 } x + 2$ $Graph the equation. - y = - \frac { 2 } { 5 } x + 2 A) B) C) D)$

Graph the equation. -y = -3x - 1

Determine whether the given ordered pair is a solution to the given equation. - $( - 2 , - 3 ) ; 3 x ^ { 2 } + 7 x y + 2 y ^ { 2 } = 72$

Graph the equation. - $y = | x | - 6$

Determine whether the given ordered pair is a solution to the given equation. - $( 6 , - 5 ) ; 3 x ^ { 2 } + 8 x y - 2 y ^ { 2 } = - 237$

Graph the equation. - $y = \frac { 1 } { 2 } x + 3$ $Graph the equation. - y = \frac { 1 } { 2 } x + 3 A) B) C) D)$

Graph the equation. - $y = - | x | + 3$

Determine whether the given ordered pair is a solution to the given equation. -(4, 26) ; y = 7x + 2

Determine whether the given ordered pair is a solution to the given equation. - $( 15,11 ) ; y = | x - 4 |$

Graph the equation. - $y = x ^ { 3 } - 5$ $Graph the equation. - y = x ^ { 3 } - 5 A) B) C) D)$

Determine whether the given ordered pair is a solution to the given equation. - $( 1 , - 6 ) ; y = x ^ { 2 } - 3 x - 4$

Determine whether the given ordered pair is a solution to the given equation. - $\left( \frac { 7 } { 10 } , 1 \right) ; 40 x + 7 y = 29$

Graph the equation. - $y = 2 x - 3$

Graph the equation. -y = x

Determine whether the given ordered pair is a solution to the given equation. -(4, 40) ; y = 9x + 4

Determine whether the given ordered pair is a solution to the given equation. - $( 2,10 ) ; y = x ^ { 2 } + 2 x - 2$

Determine whether the given ordered pair is a solution to the given equation. - $( 16,26 ) ; y = | x - 10 |$

Determine whether the given ordered pair is a solution to the given equation. - $\left( \frac { 5 } { 7 } , - 1 \right) ; 35 x + 2 y = 23$

Graph the equation. - $y = \frac { 1 } { x }$ $Graph the equation. - y = \frac { 1 } { x } A) B) C) D)$

Graph the equation. - $y = x ^ { 2 } + 1$ $Graph the equation. - y = x ^ { 2 } + 1 A) B) C) D)$

Quiz 3: Graphs and Functions

Graph the equation. - y=−25x+2y = - \frac { 2 } { 5 } x + 2y=−52​x+2

Graph the equation. -y = -3x - 1

Determine whether the given ordered pair is a solution to the given equation. - (−2,−3) ;3x2+7xy+2y2=72( - 2 , - 3 ) ; 3 x ^ { 2 } + 7 x y + 2 y ^ { 2 } = 72(−2,−3) ;3x2+7xy+2y2=72

Graph the equation. - y=∣x∣−6y = | x | - 6y=∣x∣−6

Determine whether the given ordered pair is a solution to the given equation. - (6,−5) ;3x2+8xy−2y2=−237( 6 , - 5 ) ; 3 x ^ { 2 } + 8 x y - 2 y ^ { 2 } = - 237(6,−5) ;3x2+8xy−2y2=−237

Graph the equation. - y=12x+3y = \frac { 1 } { 2 } x + 3y=21​x+3

Graph the equation. - y=−∣x∣+3y = - | x | + 3y=−∣x∣+3

Determine whether the given ordered pair is a solution to the given equation. -(4, 26) ; y = 7x + 2

Determine whether the given ordered pair is a solution to the given equation. - (15,11) ;y=∣x−4∣( 15,11 ) ; y = | x - 4 |(15,11) ;y=∣x−4∣

Graph the equation. - y=x3−5y = x ^ { 3 } - 5y=x3−5

Determine whether the given ordered pair is a solution to the given equation. - (1,−6) ;y=x2−3x−4( 1 , - 6 ) ; y = x ^ { 2 } - 3 x - 4(1,−6) ;y=x2−3x−4

Determine whether the given ordered pair is a solution to the given equation. - (710,1) ;40x+7y=29\left( \frac { 7 } { 10 } , 1 \right) ; 40 x + 7 y = 29(107​,1) ;40x+7y=29

Graph the equation. - y=2x−3y = 2 x - 3y=2x−3

Graph the equation. -y = x

Determine whether the given ordered pair is a solution to the given equation. -(4, 40) ; y = 9x + 4

Determine whether the given ordered pair is a solution to the given equation. - (2,10) ;y=x2+2x−2( 2,10 ) ; y = x ^ { 2 } + 2 x - 2(2,10) ;y=x2+2x−2

Determine whether the given ordered pair is a solution to the given equation. - (16,26) ;y=∣x−10∣( 16,26 ) ; y = | x - 10 |(16,26) ;y=∣x−10∣

Determine whether the given ordered pair is a solution to the given equation. - (57,−1) ;35x+2y=23\left( \frac { 5 } { 7 } , - 1 \right) ; 35 x + 2 y = 23(75​,−1) ;35x+2y=23

Graph the equation. - y=1xy = \frac { 1 } { x }y=x1​

Graph the equation. - y=x2+1y = x ^ { 2 } + 1y=x2+1

Graph the equation. - $y = - \frac { 2 } { 5 } x + 2$ $Graph the equation. - y = - \frac { 2 } { 5 } x + 2 A) B) C) D)$

Determine whether the given ordered pair is a solution to the given equation. - $( - 2 , - 3 ) ; 3 x ^ { 2 } + 7 x y + 2 y ^ { 2 } = 72$

Graph the equation. - $y = | x | - 6$

Determine whether the given ordered pair is a solution to the given equation. - $( 6 , - 5 ) ; 3 x ^ { 2 } + 8 x y - 2 y ^ { 2 } = - 237$

Graph the equation. - $y = \frac { 1 } { 2 } x + 3$ $Graph the equation. - y = \frac { 1 } { 2 } x + 3 A) B) C) D)$

Graph the equation. - $y = - | x | + 3$

Determine whether the given ordered pair is a solution to the given equation. - $( 15,11 ) ; y = | x - 4 |$

Graph the equation. - $y = x ^ { 3 } - 5$ $Graph the equation. - y = x ^ { 3 } - 5 A) B) C) D)$

Determine whether the given ordered pair is a solution to the given equation. - $( 1 , - 6 ) ; y = x ^ { 2 } - 3 x - 4$

Determine whether the given ordered pair is a solution to the given equation. - $\left( \frac { 7 } { 10 } , 1 \right) ; 40 x + 7 y = 29$

Graph the equation. - $y = 2 x - 3$

Determine whether the given ordered pair is a solution to the given equation. - $( 2,10 ) ; y = x ^ { 2 } + 2 x - 2$

Determine whether the given ordered pair is a solution to the given equation. - $( 16,26 ) ; y = | x - 10 |$

Determine whether the given ordered pair is a solution to the given equation. - $\left( \frac { 5 } { 7 } , - 1 \right) ; 35 x + 2 y = 23$

Graph the equation. - $y = \frac { 1 } { x }$ $Graph the equation. - y = \frac { 1 } { x } A) B) C) D)$

Graph the equation. - $y = x ^ { 2 } + 1$ $Graph the equation. - y = x ^ { 2 } + 1 A) B) C) D)$