Question 1

Use function notation to write the equation of the line with the given slope and y-intercept.
-Slope $- \frac { 2 } { 3 } ; y$-intercept $( 0,0 )$

Accepted Answer

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

Question 2

Find an equation of the line. Write the equation using function notation.
-$( 3 , - 19 ) , ( 6 , - 40 )$

Accepted Answer

A)  $f ( x ) = 7 x - 40$ 
B)  $f ( x ) = - 7 x + 2$ 
C)  $y = - 7 x + 2$ 
D)  $y = - \frac { 1 } { 7 } x - \frac { 130 } { 7 }$ 
A)  $f ( x ) = 7 x - 40$ 
B)  $f ( x ) = - 7 x + 2$ 
C)  $y = - 7 x + 2$ 
D)  $y = - \frac { 1 } { 7 } x - \frac { 130 } { 7 }$

Question 3

Use the graph of the function to find the value.  
-Find f(-1).

Accepted Answer

A)  -4 
B)  3 
C)  -3 
D)  1 
A)  -4 
B)  3 
C)  -3 
D)  1

Question 4

Find an equation of the line. Write the equation using function notation.
-$( 0,0 ) , \left( 7 , \frac { 7 } { 5 } \right)$

Accepted Answer

A)  $f ( x ) = \frac { 1 } { 5 }$ 
B)  $f ( x ) = 5 x$ 
C)  $f ( x ) = \frac { 1 } { 5 } x$ 
D)  $f ( x ) = 5$ 
A)  $f ( x ) = \frac { 1 } { 5 }$ 
B)  $f ( x ) = 5 x$ 
C)  $f ( x ) = \frac { 1 } { 5 } x$ 
D)  $f ( x ) = 5$

Question 5

Solve.
-Marty's Tee Shirt \& Jacket Company is to produce a new line of jackets with a embroidery of a Great Pyrenees dog on the front. There are fixed costs of $\$ 530$ to set up for production, and variable costs of $\$ 35$ per jacket. Write an equation that can be used to determine the total cost encountered by Marty's Company in producing $x$ jackets. Use the equation to find the total cost of producing 94 jackets.

Accepted Answer

A)  $\$ 3800$ 
B)  $\$ 3812$ 
C)  $\$ 3832$ 
D)  $\$ 3820$ 
A)  $\$ 3800$ 
B)  $\$ 3812$ 
C)  $\$ 3832$ 
D)  $\$ 3820$

Question 6

Solve.
-The amount of paint needed to cover the walls of a room varies jointly as the perimeter of the room and the height of the wall. If a room with a perimeter of 65 feet and 8-foot walls requires 5.2 quarts Of paint, find the amount of paint needed to cover the walls of a room with a perimeter of 35 feet  And 6-foot walls.

Accepted Answer

A)  2.1 quarts 
B)  4.2 quarts 
C)  210 quarts 
D)  21 quarts 
A)  2.1 quarts 
B)  4.2 quarts 
C)  210 quarts 
D)  21 quarts

Question 7

Use function notation to write the equation of the line with the given slope and y-intercept.
-Slope 2; y-intercept $\left( 0 , - \frac { 2 } { 9 } \right)$

Accepted Answer

A)  $f ( x ) = 2 x + \frac { 2 } { 9 }$ 
B)  $f ( x ) = 2 x - \frac { 2 } { 9 }$ 
C)  $f ( x ) = - \frac { 1 } { 2 } x - \frac { 2 } { 9 }$ 
D)  $f ( x ) = - \frac { 1 } { 2 } x + \frac { 2 } { 9 }$ 
A)  $f ( x ) = 2 x + \frac { 2 } { 9 }$ 
B)  $f ( x ) = 2 x - \frac { 2 } { 9 }$ 
C)  $f ( x ) = - \frac { 1 } { 2 } x - \frac { 2 } { 9 }$ 
D)  $f ( x ) = - \frac { 1 } { 2 } x + \frac { 2 } { 9 }$

Question 8

Match the linear function with its graph.
-$f ( x ) = 5 x - 4$

Accepted Answer

A) 
  
B) 
  
C) 
  
D)

Question 9

Find the square root.
-$\sqrt { - 36 }$

Accepted Answer

A)  not a real number 
B)  1296 
C)  $- 6$ 
D)  6 
A)  not a real number 
B)  1296 
C)  $- 6$ 
D)  6

Question 10

Graph the function.
-$f(x)=-(x-1)^{2}-7$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 11

Find an equation of the line. Write the equation using function notation.
-$( - 9 , - 44 ) , ( 1 , - 4 )$

Accepted Answer

A)  $y = 4 x - 8$ 
B)  $y = \frac { 1 } { 4 } x - \frac { 167 } { 4 }$ 
C)  $f ( x ) = 4 x - 8$ 
D)  $f ( x ) = - 4 x - 80$ 
A)  $y = 4 x - 8$ 
B)  $y = \frac { 1 } { 4 } x - \frac { 167 } { 4 }$ 
C)  $f ( x ) = 4 x - 8$ 
D)  $f ( x ) = - 4 x - 80$

Question 12

Graph the piecewise defined function.
-$f ( x ) = \left\{ \begin{array} { l l } 
4 x - 2 & \text { if } x \leq 0 \
\frac { 1 } { 3 } x - 5 & \text { if } x > 0
\end{array} \right.$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 13

Graph the line.
-$f ( x ) = \frac { 2 } { 3 } x - 3$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 14

Graph the function.
-$f ( x ) = | x | - 2$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 15

Find an equation of the line graphed. Write the equation using function notation.
-

Accepted Answer

A)  $f ( x ) = - \frac { 7 } { 4 } x + 7$ 
B)  $f ( x ) = \frac { 7 } { 4 } x + 7$ 
C)  $f ( x ) = - \frac { 7 } { 4 } x - 7$ 
D)  $f ( x ) = \frac { 7 } { 4 } x - 7$ 
A)  $f ( x ) = - \frac { 7 } { 4 } x + 7$ 
B)  $f ( x ) = \frac { 7 } { 4 } x + 7$ 
C)  $f ( x ) = - \frac { 7 } { 4 } x - 7$ 
D)  $f ( x ) = \frac { 7 } { 4 } x - 7$

Question 16

Find an equation of the line with the given slope and containing the given point. Write the equation using function
notation.
-Slope $2 ;$ through $( - 4 , - 7 )$

Accepted Answer

A)  $f ( x ) = 2 x - 1$ 
B)  $f ( x ) = 2 x + 1$ 
C)  $f ( x ) + 7 = m x + 4$ 
D)  $f ( x ) + 7 = x + 4$ 
A)  $f ( x ) = 2 x - 1$ 
B)  $f ( x ) = 2 x + 1$ 
C)  $f ( x ) + 7 = m x + 4$ 
D)  $f ( x ) + 7 = x + 4$

Question 17

Graph the function.
-$f(x)=-|x-1|+1$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 18

If y varies inversely as x, find the inverse variation equation for the situation.
-$y = \frac { 1 } { 9 } \text { when } x = 18$

Accepted Answer

A)  $y = \frac { 1 } { 2 x }$ 
B)  $y = \frac { x } { 2 }$ 
C)  $y = \frac { 2 } { x }$ 
D)  $y = \frac { 1 } { 162 } x$ 
A)  $y = \frac { 1 } { 2 x }$ 
B)  $y = \frac { x } { 2 }$ 
C)  $y = \frac { 2 } { x }$ 
D)  $y = \frac { 1 } { 162 } x$

Question 19

Solve.
-The pressure of a gas varies jointly as the amount of the gas (measured in moles) and the temperature and inversely as the volume of the gas. If the pressure is $1152 \mathrm { kPa }$ (kiloPascals) when the number of moles is 6 , the temperature is $320 ^ { \circ } \mathrm { Kelvin }$, and the volume is $720 \mathrm { cc }$, find the pressure when the number of moles is 9 , the temperature is $280 ^ { \circ } \mathrm { K }$, and the volume is $1080 \mathrm { cc }$.

Accepted Answer

A)  2232 
B)  900 
C)  2016 
D)  1008 
A)  2232 
B)  900 
C)  2016 
D)  1008

Question 20

Graph the function.
-$f(x)=-\sqrt{x-2}$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Use function notation to write the equation of the line with the given slope and y-intercept. -Slope $- \frac { 2 } { 3 } ; y$ -intercept $( 0,0 )$

Find an equation of the line. Write the equation using function notation. - $( 3 , - 19 ) , ( 6 , - 40 )$

Use the graph of the function to find the value. -Find f(-1).

Find an equation of the line. Write the equation using function notation. - $( 0,0 ) , \left( 7 , \frac { 7 } { 5 } \right)$

Use function notation to write the equation of the line with the given slope and y-intercept. -Slope 2; y-intercept $\left( 0 , - \frac { 2 } { 9 } \right)$

Match the linear function with its graph. - $f ( x ) = 5 x - 4$

Find the square root. - $\sqrt { - 36 }$

Graph the function. - $f(x)=-(x-1)^{2}-7$ $Graph the function. - f(x)=-(x-1)^{2}-7$

Find an equation of the line. Write the equation using function notation. - $( - 9 , - 44 ) , ( 1 , - 4 )$

Graph the line. - $f ( x ) = \frac { 2 } { 3 } x - 3$ $Graph the line. - f ( x ) = \frac { 2 } { 3 } x - 3$

Graph the function. - $f ( x ) = | x | - 2$

Find an equation of the line graphed. Write the equation using function notation. -

Find an equation of the line with the given slope and containing the given point. Write the equation using function notation. -Slope $2 ;$ through $( - 4 , - 7 )$

Graph the function. - $f(x)=-|x-1|+1$

If y varies inversely as x, find the inverse variation equation for the situation. - $y = \frac { 1 } { 9 } \text { when } x = 18$

Graph the function. - $f(x)=-\sqrt{x-2}$ $Graph the function. - f(x)=-\sqrt{x-2}$

Review of Real Numbers

Equations, Inequalities, and Problem Solving

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 8: More on Functions and Graphs

Use function notation to write the equation of the line with the given slope and y-intercept. -Slope −23;y- \frac { 2 } { 3 } ; y−32​;y -intercept (0,0)( 0,0 )(0,0)

Find an equation of the line. Write the equation using function notation. - (3,−19),(6,−40)( 3 , - 19 ) , ( 6 , - 40 )(3,−19),(6,−40)

Use the graph of the function to find the value. -Find f(-1).

Find an equation of the line. Write the equation using function notation. - (0,0),(7,75)( 0,0 ) , \left( 7 , \frac { 7 } { 5 } \right)(0,0),(7,57​)

Use function notation to write the equation of the line with the given slope and y-intercept. -Slope 2; y-intercept (0,−29)\left( 0 , - \frac { 2 } { 9 } \right)(0,−92​)

Match the linear function with its graph. - f(x)=5x−4f ( x ) = 5 x - 4f(x)=5x−4

Find the square root. - −36\sqrt { - 36 }−36​

Graph the function. - f(x)=−(x−1)2−7f(x)=-(x-1)^{2}-7f(x)=−(x−1)2−7

Find an equation of the line. Write the equation using function notation. - (−9,−44),(1,−4)( - 9 , - 44 ) , ( 1 , - 4 )(−9,−44),(1,−4)

Graph the piecewise defined function. - f(x)={4x−2 if x≤013x−5 if x>0f ( x ) = \left\{ \begin{array} { l l } 4 x - 2 & \text { if } x \leq 0 \\\frac { 1 } { 3 } x - 5 & \text { if } x > 0\end{array} \right.f(x)={4x−231​x−5​ if x≤0 if x>0​

Graph the line. - f(x)=23x−3f ( x ) = \frac { 2 } { 3 } x - 3f(x)=32​x−3

Graph the function. - f(x)=∣x∣−2f ( x ) = | x | - 2f(x)=∣x∣−2

Find an equation of the line graphed. Write the equation using function notation. -

Find an equation of the line with the given slope and containing the given point. Write the equation using function notation. -Slope 2;2 ;2; through (−4,−7)( - 4 , - 7 )(−4,−7)

Graph the function. - f(x)=−∣x−1∣+1f(x)=-|x-1|+1f(x)=−∣x−1∣+1

If y varies inversely as x, find the inverse variation equation for the situation. - y=19 when x=18y = \frac { 1 } { 9 } \text { when } x = 18y=91​ when x=18

Graph the function. - f(x)=−x−2f(x)=-\sqrt{x-2}f(x)=−x−2​

Review of Real Numbers

Equations, Inequalities, and Problem Solving

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Use function notation to write the equation of the line with the given slope and y-intercept. -Slope $- \frac { 2 } { 3 } ; y$ -intercept $( 0,0 )$

Find an equation of the line. Write the equation using function notation. - $( 3 , - 19 ) , ( 6 , - 40 )$

Find an equation of the line. Write the equation using function notation. - $( 0,0 ) , \left( 7 , \frac { 7 } { 5 } \right)$

Use function notation to write the equation of the line with the given slope and y-intercept. -Slope 2; y-intercept $\left( 0 , - \frac { 2 } { 9 } \right)$

Match the linear function with its graph. - $f ( x ) = 5 x - 4$

Find the square root. - $\sqrt { - 36 }$

Graph the function. - $f(x)=-(x-1)^{2}-7$ $Graph the function. - f(x)=-(x-1)^{2}-7$

Find an equation of the line. Write the equation using function notation. - $( - 9 , - 44 ) , ( 1 , - 4 )$

Graph the line. - $f ( x ) = \frac { 2 } { 3 } x - 3$ $Graph the line. - f ( x ) = \frac { 2 } { 3 } x - 3$

Graph the function. - $f ( x ) = | x | - 2$

Find an equation of the line with the given slope and containing the given point. Write the equation using function notation. -Slope $2 ;$ through $( - 4 , - 7 )$

Graph the function. - $f(x)=-|x-1|+1$

If y varies inversely as x, find the inverse variation equation for the situation. - $y = \frac { 1 } { 9 } \text { when } x = 18$

Graph the function. - $f(x)=-\sqrt{x-2}$ $Graph the function. - f(x)=-\sqrt{x-2}$