Question 1

Determine if the function is constant, linear, quadratic, or none of these. f (x) = 5x + 12

Accepted Answer

A)  Linear 
B)  Constant 
C)  Quadratic 
D)  None of these

Question 2

If $z ( t ) = 2 t ^ { 2 } + 7 t - 4$, find $z ( - 2 )$ and $z ( 7 )$.

Accepted Answer

A)  $z ( - 2 ) = 11 ; z ( 7 ) = 101$ 
B)  $z ( - 2 ) = - 2 ; z ( 7 ) = 241$ 
C)  $z ( - 2 ) = - 26 ; z ( 7 ) = 143$ 
D)  $z ( - 2 ) = - 10 ; z ( 7 ) = 143$

Question 3

Find the domain. Write the answer in interval notation. $$f ( x ) = \frac { 20 + x } { x - 3 }$$

Accepted Answer

A)  $( - 20,3 )$ 
B)  $( - \infty , \infty )$ 
C)  $( - \infty , - 20 ) \cup ( - 20 , \infty )$ 
D)  $( - \infty , 3 ) \cup ( 3 , \infty )$

Question 4

Write an equation of the given line in slope-intercept form.

Accepted Answer

A)  $y = 3 x - 4$ 
B)  $y = - 4 x - 3$ 
C)  $y = - 4 x + 3$ 
D)  $y = - 3 x - 4$

Question 5

Write the equation in slope-intercept form. Then, graph the line using the slope and y-intercept. $$3 x + 2 y = 0$$

Accepted Answer

A)  $y = - \frac { 3 } { 2 } x$
 
B)  $y = \frac { 3 } { 2 } x$
 
C)  $y = \frac { 2 } { 3 } x$
 
D)  $y = - \frac { 2 } { 3 } x$

Question 6

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

Accepted Answer

A) 
 
B) 
 
C) 
 
D)

Question 7

Find the domain and range of the relation. Use interval notation where appropriate.

Accepted Answer

The answer of Find the domain and range of the...

Question 8

Determine the slope and the y-intercept of the line. Round your answer to three decimalplace, if necessary.
Y = 1.6x - 11.5

Accepted Answer

A)  Slope: 1.6; y-intercept: (0, 11.5) 
B)  Slope: 1.6; y-intercept: (0, -11.5) 
C)  Slope: 0.625; y-intercept: (0, -11.5) 
D)  Slope: 11.5; y-intercept: (0, 1.6)

Question 9

Find the x-intercept and the y-intercept then graph the equation. $$y = \frac { 9 } { 8 } x + 4$$

Accepted Answer

A)  $x$-intercept: $( 4,0 )$;
$y$-intercept: $\left( 0 , - \frac { 32 } { 9 } \right)$
 
B)  $x$-intercept: $( 0,0 )$;
$y$-intercept: $( 0,0 )$
 
C)  $x$-intercept: $\left( - \frac { 32 } { 9 } , 0 \right)$;
$y$-intercept: $( 0,4 )$
 
D)  $x$-intercept: $\left( - \frac { 8 } { 9 } , 0 \right)$;
$y$-intercept: $( 0,4 )$

Question 10

Find the x-intercept and the y-intercept then graph the equation. $$B ( x ) = 4 x + 3$$

Accepted Answer

A)  $x$ - and $y$-intercept: $( 0,0 )$
 
B)  $x$-intercept: $\left( - \frac { 3 } { 4 } , 0 \right)$;
$y$-intercept: $( 0 , - 3 )$
 
C)  $x$-intercept: $\left( - \frac { 3 } { 4 } , 0 \right)$;
$y$-intercept: $( 0,3 )$
 
D)  $x$-intercept: $\left( - \frac { 4 } { 3 } , 0 \right)$;
$y$-intercept: $( 0,3 )$

Question 11

Use the vertical line test to determine whether the relation defines y as a function of x.

Accepted Answer

A)  No 
B)  Yes

Question 12

Plot the point on the rectangular coordinate system. (2, -4)

Accepted Answer

A) 
 
B) 
 
C) 
 
D)

Question 13

Write an equation of the line satisfying the given conditions. Write the answer inslope-intercept form. The line is perpendicular to the line defined by y = 4x - 8 and passes through the point(8, 3).

Accepted Answer

A)  $ y=-\frac{1}{4} x+5 $ 
B)  $ y=\frac{1}{4} x+5 $ 
C)  $ y=-\frac{1}{4} x-5 $ 
D)  $ y=-4 x-5 $

Question 14

At a concession stand at a high school football game, the owner notices that the relationship between the price of a hot dog and the number of hot dogs sold is linear. If the price is $2.00 per
hot dog, then approximately 600 are sold each night. If the price is raised to $3.00, then the number sold drops to 450 per night.
a. Make a graph with the price of hot dogs on the x-axis and the number of hot dogs sold on the y-axis. Use the points (2.00, 600) and (3.00, 450). Then graph the line through the points with $x \geq 0$.
b. Find an equation of the line through the points. Write the equation in slope-intercept form.
c. Use the equation from part (b) to predict the number of hot dogs that would sell if the price were
raised to $3.50. Round to the nearest whole unit.

Accepted Answer

The answer of At a concession stand at a high...

Question 15

Find the slope of the hill. 
[The figure is not necessarily drawn to scale.]

Accepted Answer

A)  486 
B)  $\frac { 486 } { 11 }$ 
C)  $\frac { 11 } { 486 }$ 
D)  $\frac { 11 } { 497 }$

Question 16

Use the slope formula to determine the slope of the line containing the two points. (4, -8) and (-1, -2)

Accepted Answer

A)  $- \frac { 10 } { 3 }$ 
B)  $\frac { 1 } { 12 }$ 
C)  $- \frac { 5 } { 6 }$ 
D)  $- \frac { 6 } { 5 }$

Question 17

Find the domain and range of the relation. $$\begin{array} { c | c } 
\text { State } & \text { Year Entered the Union } \
\hline \text { Vermont } & 1791 \
\text { New York } & 1788 \
\text { Delaware } & 1787 \
\text { Georgia } & 1788
\end{array}$$

Accepted Answer

The answer of Find the domain and range of the...

Question 18

For what value(s) of x is f (x) = -15?
f (x) = {(19, -15), (0, 20), (-16, 9), (-11, -14)}

Accepted Answer

The answer of For what value(s) of x is f...

Question 19

Write an equation of the line satisfying the given conditions. The line passes through (-6, -9) and (-6, -11).

Accepted Answer

A)  x = -6 
B)  y = -6x 
C)  y = 6 
D)  y = -6

Question 20

Write the equation in slope-intercept form. Then graph the line using the slope and y-intercept. $$2 x = 3 - y$$

Accepted Answer

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

Exam 2: Linear Equations in Two Variables and Functions

Determine if the function is constant, linear, quadratic, or none of these. f (x) = 5x + 12

If $z ( t ) = 2 t ^ { 2 } + 7 t - 4$ , find $z ( - 2 )$ and $z ( 7 )$ .

Find the domain. Write the answer in interval notation. $f ( x ) = \frac { 20 + x } { x - 3 }$

Write an equation of the given line in slope-intercept form.

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

Find the domain and range of the relation. Use interval notation where appropriate.

Determine the slope and the y-intercept of the line. Round your answer to three decimalplace, if necessary. Y = 1.6x - 11.5

Find the x-intercept and the y-intercept then graph the equation. $y = \frac { 9 } { 8 } x + 4$

Find the x-intercept and the y-intercept then graph the equation. $B ( x ) = 4 x + 3$

Use the vertical line test to determine whether the relation defines y as a function of x.

Plot the point on the rectangular coordinate system. (2, -4)

Write an equation of the line satisfying the given conditions. Write the answer inslope-intercept form. The line is perpendicular to the line defined by y = 4x - 8 and passes through the point(8, 3) .

Find the slope of the hill. $Find the slope of the hill. [The figure is not necessarily drawn to scale.] A) 486 B) \frac { 486 } { 11 } C) \frac { 11 } { 486 } D) \frac { 11 } { 497 }$ [The figure is not necessarily drawn to scale.]

Use the slope formula to determine the slope of the line containing the two points. (4, -8) and (-1, -2)

Find the domain and range of the relation. $\begin{array} { c | c } \text { State } & \text { Year Entered the Union } \\\hline \text { Vermont } & 1791 \\\text { New York } & 1788 \\\text { Delaware } & 1787 \\\text { Georgia } & 1788\end{array}$

For what value(s) of x is f (x) = -15? f (x) = {(19, -15), (0, 20), (-16, 9), (-11, -14)}

Write an equation of the line satisfying the given conditions. The line passes through (-6, -9) and (-6, -11) .

Exam 2: Linear Equations in Two Variables and Functions

Determine if the function is constant, linear, quadratic, or none of these. f (x) = 5x + 12

If z(t) =2t2+7t−4z ( t ) = 2 t ^ { 2 } + 7 t - 4z(t) =2t2+7t−4 , find z(−2) z ( - 2 ) z(−2) and z(7) z ( 7 ) z(7) .

Find the domain. Write the answer in interval notation. f(x) =20+xx−3f ( x ) = \frac { 20 + x } { x - 3 }f(x) =x−320+x​

Write an equation of the given line in slope-intercept form.

Write the equation in slope-intercept form. Then, graph the line using the slope and y-intercept. 3x+2y=03 x + 2 y = 03x+2y=0

Graph the linear equation. y=−x+3y = - x + 3y=−x+3

Find the domain and range of the relation. Use interval notation where appropriate.

Determine the slope and the y-intercept of the line. Round your answer to three decimalplace, if necessary. Y = 1.6x - 11.5

Find the x-intercept and the y-intercept then graph the equation. y=98x+4y = \frac { 9 } { 8 } x + 4y=89​x+4

Find the x-intercept and the y-intercept then graph the equation. B(x) =4x+3B ( x ) = 4 x + 3B(x) =4x+3

Use the vertical line test to determine whether the relation defines y as a function of x.

Plot the point on the rectangular coordinate system. (2, -4)

Write an equation of the line satisfying the given conditions. Write the answer inslope-intercept form. The line is perpendicular to the line defined by y = 4x - 8 and passes through the point(8, 3) .

Find the slope of the hill. [The figure is not necessarily drawn to scale.]

Use the slope formula to determine the slope of the line containing the two points. (4, -8) and (-1, -2)

For what value(s) of x is f (x) = -15? f (x) = {(19, -15), (0, 20), (-16, 9), (-11, -14)}

Write an equation of the line satisfying the given conditions. The line passes through (-6, -9) and (-6, -11) .

Write the equation in slope-intercept form. Then graph the line using the slope and y-intercept. 2x=3−y2 x = 3 - y2x=3−y

If $z ( t ) = 2 t ^ { 2 } + 7 t - 4$ , find $z ( - 2 )$ and $z ( 7 )$ .

Find the domain. Write the answer in interval notation. $f ( x ) = \frac { 20 + x } { x - 3 }$

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

Find the x-intercept and the y-intercept then graph the equation. $y = \frac { 9 } { 8 } x + 4$

Find the x-intercept and the y-intercept then graph the equation. $B ( x ) = 4 x + 3$

Find the slope of the hill. $Find the slope of the hill. [The figure is not necessarily drawn to scale.] A) 486 B) \frac { 486 } { 11 } C) \frac { 11 } { 486 } D) \frac { 11 } { 497 }$ [The figure is not necessarily drawn to scale.]