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 
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)  $z ( - 2 ) = - 10 ; z ( 7 ) = 143$ 
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)  $( - \infty , 3 ) \cup ( 3 , \infty )$ 
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)  $y = - 3 x - 4$ 
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)  $y = - \frac { 2 } { 3 } x$
  
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) 
  
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) 
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: $( 0,4 )$
  
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: $( 0,3 )$
  
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 
A)  No 
B)  Yes

Question 12

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

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
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 $ 
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

a. @#IMG-DLM& 
b. y

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)  $\frac { 11 } { 497 }$ 
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)  $- \frac { 6 } { 5 }$ 
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

Domain: {Vermont, Ne

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

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.

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

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. [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. State Year Entered the Union Vermont 1791 New York 1788 Delaware 1787 Georgia 1788

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. $2 x = 3 - y$

Linear Equations and Inequalities in One Variable

Systems of Linear Equations and Inequalities

Polynomials

Rational Expressions and Rational Equations

Radicals and Complex Numbers

Quadratic Equations, Functions and Inequalities

Exponential and Logarithmic Functions and Applications

Conic Sections

Binomial Expansions, Sequences, and Series

Online: Transformations, Piecewise-Defined Functions, and Probability

Filters

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)

Find the domain and range of the relation. State Year Entered the Union Vermont 1791 New York 1788 Delaware 1787 Georgia 1788

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

Linear Equations and Inequalities in One Variable

Systems of Linear Equations and Inequalities

Polynomials

Rational Expressions and Rational Equations

Radicals and Complex Numbers

Quadratic Equations, Functions and Inequalities

Exponential and Logarithmic Functions and Applications

Conic Sections

Binomial Expansions, Sequences, and Series

Online: Transformations, Piecewise-Defined Functions, and Probability

Filters

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

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. $B ( x ) = 4 x + 3$

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