Question 1

Write an equation for the line described. Give your answer in standard form.
-through $( 1,5 )$, undefined slope
A) $x = 5$
B) $y = 1$
C) $x = 1$
D) $\mathrm { y } = 5$

Accepted Answer

An undefined slope indicates a vertical line, which means all points on the line have the same x-coordinate. Since the line goes through (1,5), the equation is $x = 1$.

Question 2

Solve the problem.
-Northwest Molded molds plastic handles which cost $0.40 per handle to mold. The fixed cost to run the molding machine is $6680 per week. If the company sells the handles for $4.40 each, how
Many handles must be molded and sold weekly to break even?
A) 1391 handles
B) 16,700 handles
C) 1113 handles
D) 1670 handles

Accepted Answer

To break even, the total cost must equal the total revenue. The total cost is the fixed cost plus the variable cost per handle times the number of handles, and the total revenue is the selling price per handle times the number of handles. Setting these equal gives: $6680 + $0.40x = $4.40x$. Solving for x gives x = 1670 handles.

Question 3

Write an equation for the line described. Give your answer in slope-intercept form.
-through (-4, 5), m = 0
A) x = -4
B)x = 5
C)y = 5
D)y = -4

Accepted Answer

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. Given m = 0, the equation becomes y = 0x + b. To find b, use the given point (-4, 5). Substituting these values gives 5 = 0*(-4) + b, so b = 5. Therefore, the equation is y = 5.

Question 4

Match the equation with the correct graph.
-$$\mathrm { y } = - 1$$
A)

B)

C)

D)

Accepted Answer

The answer of Match the equation with the correct graph.
-\[\mathrm...

Question 5

Write an equation for the line described. Give your answer in slope-intercept form.
-vertical, through (4, -1)
A) x = -1
B)x = 4
C)y = -1
D)y = 4

Accepted Answer

A vertical line has an undefined slope and is represented by the equation x = a constant. Since the line goes through (4, -1), the equation is x = 4.

Question 6

Write an equation for the line described. Give your answer in standard form.
-through $( 0,4 ) , \mathrm { m } = \frac { 2 } { 5 }$
A) $2 x + 5 y = - 20$
B) $2 x - 5 y = - 20$
C) $5 x - 2 y = - 20$
D) $2 x - 5 y = 20$

Accepted Answer

The equation of a line in slope-intercept form is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. Given $m = \frac{2}{5}$ and it passes through $(0,4)$, the equation becomes $y = \frac{2}{5}x + 4$. To convert to standard form $Ax + By = C$, multiply the entire equation by 5 to eliminate the fraction: $5y = 2x + 20$. Rearranging gives $2x - 5y = -20$, which matches option B.

Question 7

Write an equation for the line described. Give your answer in slope-intercept form.
-$m = \frac { 3 } { 10 }$, through $( 1,7 )$
A) $y = \frac { 3 } { 10 } x + \frac { 67 } { 10 }$
B) $y = \frac { 10 } { 3 } x + \frac { 67 } { 3 }$
C) $y = \frac { 3 } { 10 } x - \frac { 67 } { 10 }$
D) $y = - \frac { 3 } { 10 } x - \frac { 67 } { 10 }$

Accepted Answer

The slope-intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. Given $m = \frac{3}{10}$ and the point $(1,7)$, we can substitute these values into the equation to find $b$: $7 = \frac{3}{10}(1) + b$, solving for $b$ gives $b = \frac{67}{10}$. Therefore, the equation is $y = \frac{3}{10}x + \frac{67}{10}$.

Question 8

Match the equation with the correct graph.
-$$2 x - 3 y = - 6$$
A)

B)

C)

D)

Accepted Answer

The answer of Match the equation with the correct graph.
-\[2...

Question 9

Match the equation with the correct graph.
-$$9 x + 4 y = - 12$$
A)

B)

C)

D)

Accepted Answer

The answer of Match the equation with the correct graph.
-\[9...

Question 10

Match the equation with the correct graph.
-$$x = 2$$
A)

B)

C)

D)

Accepted Answer

The answer of Match the equation with the correct graph.
-\[x...

Question 11

Match the equation with the correct graph.
-$$y = - \frac { 1 } { 4 } x + 1$$
A)

B)

C)

D)

Accepted Answer

The answer of Match the equation with the correct graph.
-\[y...

Question 12

Solve the problem.
-A lumber yard has fixed costs of $4391.40 per day and variable costs of $0.59 per board-foot produced. Lumber sells for $1.89 per board-foot. How many board-feet must be produced and
Sold daily to break even?
A) 7443 board-feet
B) 2252 board-feet
C) 3378 board-feet
D) 1770 board-feet

Accepted Answer

To break even, the total cost (fixed costs + variable costs) must equal total revenue. Let $x$ be the number of board-feet produced and sold. The break-even point is found by setting the total cost equal to the total revenue: $$4391.40 + 0.59x = 1.89x.$$ Solving for $x$ gives: $$1.89x - 0.59x = 4391.40,$$ $$1.3x = 4391.40,$$ $$x = \frac{4391.40}{1.3} = 3378.$$ Therefore, 3378 board-feet must be produced and sold daily to break even.

Question 13

Write an equation for the line described. Give your answer in standard form.
-x-intercept $- 5$, y-intercept 3
A) $- 3 x - 5 y = - 15$
B) $3 x + 5 y = - 15$
C) $3 x - 5 y = 15$
D) $3 x - 5 y = - 15$

Accepted Answer

The standard form of a line is $Ax + By = C$. The x-intercept is -5, so when y=0, x=-5, giving the point (-5,0). The y-intercept is 3, so when x=0, y=3, giving the point (0,3). Using these points, the equation of the line is $3x - 5y = -15$.

Question 14

Match the equation with the correct graph.
-$$y = \frac { 1 } { 3 } x - 4$$
A)

B)

C)

D)

Accepted Answer

The answer of Match the equation with the correct graph.
-\[y...

Question 15

Write an equation for the line described. Give your answer in slope-intercept form.
-horizontal, through $( - 5 , - 3 )$
A) $x = - 5$
B) $y = - 5$
C) $\mathrm { y } = - 3$
D) $x = - 3$

Accepted Answer

A horizontal line has a slope of 0 and passes through all points with the same y-coordinate. Since the line goes through (-5, -3), its equation is $y = -3$.

Question 16

Write an equation for the line described. Give your answer in slope-intercept form.
-$\mathrm { m } = - 8$, through $( - 4,9 )$
A) $8 x + y = 23$
B) $y = 8 x - 21$
C) $y = - 8 x - 23$
D) $y = - 8 x + 30$

Accepted Answer

The answer of Write an equation for the line described....

Question 17

Match the equation with the correct graph.
-$$y + 2 = \frac { 8 } { 7 } ( x - 5 )$$
A)

B)

C)

D)

Accepted Answer

The answer of Match the equation with the correct graph.
-\[y...

Question 18

Write an equation for the line described. Give your answer in slope-intercept form.
-$\mathrm { m } = 2$, through $( 1 , - 7 )$
A) $y = 3 x + 10$
B) $y = 2 x + 8$
C) $y = 2 x - 7$
D) $y = 2 x - 9$

Accepted Answer

The slope-intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. Given $m = 2$ and the point $(1, -7)$, we can substitute these into the equation to find $b$: $-7 = 2(1) + b$, solving for $b$ gives $b = -9$. Thus, the equation is $y = 2x - 9$.

Question 19

Write an equation for the line described. Give your answer in slope-intercept form.
-through $( - 7 , - 2 )$ and $( 0,2 )$
A) $y = - \frac { 4 } { 7 } x + 2$
B) $y = - \frac { 5 } { 2 } x + 2$
C) $y = \frac { 4 } { 7 } x + 2$
D) $y = \frac { 5 } { 2 } x + 2$

Accepted Answer

The slope of the line through the points $(-7, -2)$ and $(0, 2)$ is $\frac{2 - (-2)}{0 - (-7)} = \frac{4}{7}$. The y-intercept is 2, so the equation is $y = \frac{4}{7}x + 2$.

Question 20

Match the equation with the correct graph.
-$$y - 4 = \frac { 3 } { 2 } ( x + 2 )$$
A)

B)

C)

D)

Accepted Answer

The answer of Match the equation with the correct graph.
-\[y...

Quiz 2: Graphs and Functions

Write an equation for the line described. Give your answer in standard form. -through $( 1,5 )$ , undefined slope

Solve the problem. -Northwest Molded molds plastic handles which cost $0.40 per handle to mold. The fixed cost to run the molding machine is $6680 per week. If the company sells the handles for $4.40 each, how Many handles must be molded and sold weekly to break even?

Write an equation for the line described. Give your answer in slope-intercept form. -through (-4, 5) , m = 0

Match the equation with the correct graph. - $\mathrm { y } = - 1$

Write an equation for the line described. Give your answer in slope-intercept form. -vertical, through (4, -1)

Write an equation for the line described. Give your answer in standard form. -through $( 0,4 ) , \mathrm { m } = \frac { 2 } { 5 }$

Write an equation for the line described. Give your answer in slope-intercept form. - $m = \frac { 3 } { 10 }$ , through $( 1,7 )$

Match the equation with the correct graph. - $2 x - 3 y = - 6$

Match the equation with the correct graph. - $9 x + 4 y = - 12$

Match the equation with the correct graph. - $x = 2$

Match the equation with the correct graph. - $y = - \frac { 1 } { 4 } x + 1$

Solve the problem. -A lumber yard has fixed costs of $4391.40 per day and variable costs of $0.59 per board-foot produced. Lumber sells for $1.89 per board-foot. How many board-feet must be produced and Sold daily to break even?

Write an equation for the line described. Give your answer in standard form. -x-intercept $- 5$ , y-intercept 3

Match the equation with the correct graph. - $y = \frac { 1 } { 3 } x - 4$

Write an equation for the line described. Give your answer in slope-intercept form. -horizontal, through $( - 5 , - 3 )$

Write an equation for the line described. Give your answer in slope-intercept form. - $\mathrm { m } = - 8$ , through $( - 4,9 )$

Match the equation with the correct graph. - $y + 2 = \frac { 8 } { 7 } ( x - 5 )$

Write an equation for the line described. Give your answer in slope-intercept form. - $\mathrm { m } = 2$ , through $( 1 , - 7 )$

Write an equation for the line described. Give your answer in slope-intercept form. -through $( - 7 , - 2 )$ and $( 0,2 )$

Match the equation with the correct graph. - $y - 4 = \frac { 3 } { 2 } ( x + 2 )$

Quiz 2: Graphs and Functions

Write an equation for the line described. Give your answer in standard form. -through (1,5) ( 1,5 ) (1,5) , undefined slope

Solve the problem. -Northwest Molded molds plastic handles which cost $0.40 per handle to mold. The fixed cost to run the molding machine is $6680 per week. If the company sells the handles for $4.40 each, how Many handles must be molded and sold weekly to break even?

Write an equation for the line described. Give your answer in slope-intercept form. -through (-4, 5) , m = 0

Match the equation with the correct graph. - y=−1\mathrm { y } = - 1y=−1

Write an equation for the line described. Give your answer in slope-intercept form. -vertical, through (4, -1)

Write an equation for the line described. Give your answer in standard form. -through (0,4) ,m=25( 0,4 ) , \mathrm { m } = \frac { 2 } { 5 }(0,4) ,m=52​

Write an equation for the line described. Give your answer in slope-intercept form. - m=310m = \frac { 3 } { 10 }m=103​ , through (1,7) ( 1,7 ) (1,7)

Match the equation with the correct graph. - 2x−3y=−62 x - 3 y = - 62x−3y=−6

Match the equation with the correct graph. - 9x+4y=−129 x + 4 y = - 129x+4y=−12

Match the equation with the correct graph. - x=2x = 2x=2

Match the equation with the correct graph. - y=−14x+1y = - \frac { 1 } { 4 } x + 1y=−41​x+1

Solve the problem. -A lumber yard has fixed costs of $4391.40 per day and variable costs of $0.59 per board-foot produced. Lumber sells for $1.89 per board-foot. How many board-feet must be produced and Sold daily to break even?

Write an equation for the line described. Give your answer in standard form. -x-intercept −5- 5−5 , y-intercept 3

Match the equation with the correct graph. - y=13x−4y = \frac { 1 } { 3 } x - 4y=31​x−4

Write an equation for the line described. Give your answer in slope-intercept form. -horizontal, through (−5,−3) ( - 5 , - 3 ) (−5,−3)

Write an equation for the line described. Give your answer in slope-intercept form. - m=−8\mathrm { m } = - 8m=−8 , through (−4,9) ( - 4,9 ) (−4,9)

Match the equation with the correct graph. - y+2=87(x−5) y + 2 = \frac { 8 } { 7 } ( x - 5 ) y+2=78​(x−5)

Write an equation for the line described. Give your answer in slope-intercept form. - m=2\mathrm { m } = 2m=2 , through (1,−7) ( 1 , - 7 ) (1,−7)

Write an equation for the line described. Give your answer in slope-intercept form. -through (−7,−2) ( - 7 , - 2 ) (−7,−2) and (0,2) ( 0,2 ) (0,2)

Match the equation with the correct graph. - y−4=32(x+2) y - 4 = \frac { 3 } { 2 } ( x + 2 ) y−4=23​(x+2)

Write an equation for the line described. Give your answer in standard form. -through $( 1,5 )$ , undefined slope

Match the equation with the correct graph. - $\mathrm { y } = - 1$

Write an equation for the line described. Give your answer in standard form. -through $( 0,4 ) , \mathrm { m } = \frac { 2 } { 5 }$

Write an equation for the line described. Give your answer in slope-intercept form. - $m = \frac { 3 } { 10 }$ , through $( 1,7 )$

Match the equation with the correct graph. - $2 x - 3 y = - 6$

Match the equation with the correct graph. - $9 x + 4 y = - 12$

Match the equation with the correct graph. - $x = 2$

Match the equation with the correct graph. - $y = - \frac { 1 } { 4 } x + 1$

Write an equation for the line described. Give your answer in standard form. -x-intercept $- 5$ , y-intercept 3

Match the equation with the correct graph. - $y = \frac { 1 } { 3 } x - 4$

Write an equation for the line described. Give your answer in slope-intercept form. -horizontal, through $( - 5 , - 3 )$

Write an equation for the line described. Give your answer in slope-intercept form. - $\mathrm { m } = - 8$ , through $( - 4,9 )$

Match the equation with the correct graph. - $y + 2 = \frac { 8 } { 7 } ( x - 5 )$

Write an equation for the line described. Give your answer in slope-intercept form. - $\mathrm { m } = 2$ , through $( 1 , - 7 )$

Write an equation for the line described. Give your answer in slope-intercept form. -through $( - 7 , - 2 )$ and $( 0,2 )$

Match the equation with the correct graph. - $y - 4 = \frac { 3 } { 2 } ( x + 2 )$