Question 1

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

Accepted Answer

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

Question 2

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

Accepted Answer

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

Question 3

If y varies directly as x, find the direct variation equation for the situation.
-$y = 7$ when $x = 42$

Accepted Answer

A)  $y = x + 35$ 
B)  $y = \frac { 1 } { 6 } x$ 
C)  $y = \frac { 1 } { 7 } x$ 
D)  $y = 6 x$ 
A)  $y = x + 35$ 
B)  $y = \frac { 1 } { 6 } x$ 
C)  $y = \frac { 1 } { 7 } x$ 
D)  $y = 6 x$

Question 4

Solve.
-A gas station sells 4820 gallons of regular unleaded gasoline in a day when they charge $\$ 1.35$ per gallon, whereas they sell 3922 gallons on a day that they charge $\$ 1.40$ per gallon. Find a linear equation that relates gallons sold to price. Use this equation to predict the number of gallons sold at a price of $\$ 1.23$ per gallon. Round to the nearest tenth when appropriate.

Accepted Answer

A)  $6979.3 \mathrm { gal }$ 
B)  $6975.2 \mathrm { gal }$ 
C)  $6984.2 \mathrm { gal }$ 
D)  $6971.9 \mathrm { gal }$ 
A)  $6979.3 \mathrm { gal }$ 
B)  $6975.2 \mathrm { gal }$ 
C)  $6984.2 \mathrm { gal }$ 
D)  $6971.9 \mathrm { gal }$

Question 5

Graph the piecewise defined function.
-$f(x)=\left\{\begin{array}{ll}
-9 x+3 & \text { if } x<0 \
5 x-5 & \text { if } x \geq 0
\end{array}\right.$

Accepted Answer

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

Question 6

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

Accepted Answer

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

Question 7

Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l } 
\text { slope-intercept } & \text { directly } & \text { slope } \
\text { jointly } & \text { parallel } & \text { perpendicular } \
\text { function } & \text { inversely } & \text { linear function }
\end{array}$$
-___________form of a linear equation in two variables is $y = m x + b$.

Accepted Answer

A)  Perpendicular 
B)  Slope-intercept 
C)  Parallel 
D)  Slope 
A)  Perpendicular 
B)  Slope-intercept 
C)  Parallel 
D)  Slope

Question 8

Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l } 
\text { slope-intercept } & \text { directly } & \text { slope } \
\text { jointly } & \text { parallel } & \text { perpendicular } \
\text { function } & \text { inversely } & \text { linear function }
\end{array}$$
-----------------lines have the same slope and different y-intercepts.

Accepted Answer

A)  Slope 
B)  Parallel 
C)  Perpendicular 
D)  Slope-Intercept 
A)  Slope 
B)  Parallel 
C)  Perpendicular 
D)  Slope-Intercept

Question 9

Solve.
-Suppose that $W$ is inversely proportional to $V$. If $W = 36$ when $V = 7$, find $W$ when $V = 63$.

Accepted Answer

A)  28 
B)  4 
C)  9 
D)  49 
A)  28 
B)  4 
C)  9 
D)  49

Question 10

Solve.
-If the resistance in an electrical circuit is held constant, the amount of current flowing through the circuit is directly proportional to the amount of voltage applied to the circuit. When 5 volts are Applied to a circuit, 50 milliamperes of current flow through the circuit. Find the new current if the Voltage is increased to 8 volts.

Accepted Answer

A)  90 milliamperes 
B)  72 milliamperes 
C)  40 milliamperes 
D)  80 milliamperes 
A)  90 milliamperes 
B)  72 milliamperes 
C)  40 milliamperes 
D)  80 milliamperes

Question 11

Use function notation to write the equation of the line with the given slope and y-intercept.
-Slope $\frac { 2 } { 5 } ; y$-intercept $( 0 , - 8 )$

Accepted Answer

A)  $f ( x ) = \frac { 2 } { 5 } x + 8$ 
B)  $f ( x ) = - \frac { 2 } { 5 } x - 8$ 
C)  $f ( x ) = 2 x - 40$ 
D)  $f ( x ) = \frac { 2 } { 5 } x - 8$ 
A)  $f ( x ) = \frac { 2 } { 5 } x + 8$ 
B)  $f ( x ) = - \frac { 2 } { 5 } x - 8$ 
C)  $f ( x ) = 2 x - 40$ 
D)  $f ( x ) = \frac { 2 } { 5 } x - 8$

Question 12

Find an equation of the line satisfying the given conditions. Write the equation using function notation.
-Parallel to $2 x - 5 y = - 8 ;$ through $( 5,9 )$

Accepted Answer

A)  $f ( x ) = - \frac { 5 } { 2 } x + 7$ 
B)  $f ( x ) = \frac { 5 } { 2 } x + 7$ 
C)  $f ( x ) = \frac { 2 } { 5 } x + 7$ 
D)  $f ( x ) = - \frac { 2 } { 5 } x + 11$ 
A)  $f ( x ) = - \frac { 5 } { 2 } x + 7$ 
B)  $f ( x ) = \frac { 5 } { 2 } x + 7$ 
C)  $f ( x ) = \frac { 2 } { 5 } x + 7$ 
D)  $f ( x ) = - \frac { 2 } { 5 } x + 11$

Question 13

Solve.
-The monthly cost of a certain long distance service is given by the linear function $C ( t ) = 0.06 t + 7.95$ where $C ( t )$ is in dollars and $t$ is the amount of time in minutes called in a month. Find the cost of calling long distance for 80 minutes in a month.

Accepted Answer

A)  $\$ 11.75$ 
B)  $\$ 4.80$ 
C)  $\$ 12.75$ 
D)  $\$ 15.95$ 
A)  $\$ 11.75$ 
B)  $\$ 4.80$ 
C)  $\$ 12.75$ 
D)  $\$ 15.95$

Question 14

Find the variation equation for the variation statement.
-$\mathrm { z }$ varies jointly as $\mathrm { y }$ and the cube of $\mathrm { x } ; \mathrm { z } = 1792$ when $\mathrm { x } = 4$ and $\mathrm { y } = - 4$

Accepted Answer

A)  $y = - 7 x ^ { 3 } y$ 
B)  $y = - 7 x y ^ { 3 }$ 
C)  $y = 7 x y ^ { 3 }$ 
D)  $y = 7 x ^ { 3 } y$ 
A)  $y = - 7 x ^ { 3 } y$ 
B)  $y = - 7 x y ^ { 3 }$ 
C)  $y = 7 x y ^ { 3 }$ 
D)  $y = 7 x ^ { 3 } y$

Question 15

Solve.
-For a resistor in a direct current circuit that does not vary its resistance, the power that a resistor must dissipate is directly proportional to the square of the voltage across the resistor. The resistor must dissipate $\frac { 1 } { 16 }$ watt of power when the voltage across the resistor is 14 volts. Find the power that the resistor must dissipate when the voltage across it is 28 volts.

Accepted Answer

A)  $\frac { 7 } { 8 } \mathrm { watt }$ 
B)  $\frac { 49 } { 4 }$ watts 
C)  $\frac { 1 } { 4 } \mathrm { watt }$ 
D)  $\frac { 1 } { 8 } \mathrm { watt }$ 
A)  $\frac { 7 } { 8 } \mathrm { watt }$ 
B)  $\frac { 49 } { 4 }$ watts 
C)  $\frac { 1 } { 4 } \mathrm { watt }$ 
D)  $\frac { 1 } { 8 } \mathrm { watt }$

Question 16

Solve.
-Persons taking a 30-hour review course to prepare for a standardized exam average a score of 620 on that exam. Persons taking a 70-hour review course average a score of 800 . Find a linear equation which fits this data, and which relates score to review time. Use this equation to predict an average score for persons taking a 46-hour review course. Round to the nearest tenth.

Accepted Answer

A)  $684.7$ 
B)  $692.0$ 
C)  $706.0$ 
D)  $696.2$ 
A)  $684.7$ 
B)  $692.0$ 
C)  $706.0$ 
D)  $696.2$

Question 17

Graph the linear function.
-f$(x)=5 x-3$

Accepted Answer

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

Question 18

Find the variation equation for the variation statement.
-$y$ varies inversely as the square of $x ; y = 3$ when $x = 6$

Accepted Answer

A)  $y = \frac { x } { 108 }$ 
B)  $y = \frac { x ^ { 2 } } { 108 }$ 
C)  $y = \frac { 108 } { x }$ 
D)  $y = \frac { 108 } { x ^ { 2 } }$ 
A)  $y = \frac { x } { 108 }$ 
B)  $y = \frac { x ^ { 2 } } { 108 }$ 
C)  $y = \frac { 108 } { x }$ 
D)  $y = \frac { 108 } { x ^ { 2 } }$

Question 19

If y varies directly as x, find the direct variation equation for the situation.
-$y = 12 \text { when } x = 16$

Accepted Answer

A)  $y = x - 4$ 
B)  $y = \frac { 4 } { 3 } x$ 
C)  $y = \frac { 3 } { 4 } x$ 
D)  $y = 4 x$ 
A)  $y = x - 4$ 
B)  $y = \frac { 4 } { 3 } x$ 
C)  $y = \frac { 3 } { 4 } x$ 
D)  $y = 4 x$

Question 20

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

Accepted Answer

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

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

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

If y varies directly as x, find the direct variation equation for the situation. - $y = 7$ when $x = 42$

Graph the piecewise defined function. - $f(x)=\left\{\begin{array}{ll}-9 x+3 & \text { if } x<0 \\5 x-5 & \text { if } x \geq 0\end{array}\right.$ $Graph the piecewise defined function. - f(x)=\left\{\begin{array}{ll} -9 x+3 & \text { if } x<0 \\ 5 x-5 & \text { if } x \geq 0 \end{array}\right.$

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

Fill in the blank with one of the words or phrases listed below. slope-intercept directly slope jointly parallel perpendicular function inversely linear function -___________form of a linear equation in two variables is $y = m x + b$ .

Fill in the blank with one of the words or phrases listed below. slope-intercept directly slope jointly parallel perpendicular function inversely linear function -----------------lines have the same slope and different y-intercepts.

Solve. -Suppose that $W$ is inversely proportional to $V$ . If $W = 36$ when $V = 7$ , find $W$ when $V = 63$ .

Use function notation to write the equation of the line with the given slope and y-intercept. -Slope $\frac { 2 } { 5 } ; y$ -intercept $( 0 , - 8 )$

Find an equation of the line satisfying the given conditions. Write the equation using function notation. -Parallel to $2 x - 5 y = - 8 ;$ through $( 5,9 )$

Solve. -The monthly cost of a certain long distance service is given by the linear function $C ( t ) = 0.06 t + 7.95$ where $C ( t )$ is in dollars and $t$ is the amount of time in minutes called in a month. Find the cost of calling long distance for 80 minutes in a month.

Find the variation equation for the variation statement. - $\mathrm { z }$ varies jointly as $\mathrm { y }$ and the cube of $\mathrm { x } ; \mathrm { z } = 1792$ when $\mathrm { x } = 4$ and $\mathrm { y } = - 4$

Graph the linear function. -f $(x)=5 x-3$

Find the variation equation for the variation statement. - $y$ varies inversely as the square of $x ; y = 3$ when $x = 6$

If y varies directly as x, find the direct variation equation for the situation. - $y = 12 \text { when } x = 16$

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

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

Graph the function. - f(x)=−x2f(x)=-x^{2}f(x)=−x2

Graph the linear function. - f(x)=2xf(x)=2 xf(x)=2x

If y varies directly as x, find the direct variation equation for the situation. - y=7y = 7y=7 when x=42x = 42x=42

Graph the piecewise defined function. - f(x)={−9x+3 if x<05x−5 if x≥0f(x)=\left\{\begin{array}{ll}-9 x+3 & \text { if } x<0 \\5 x-5 & \text { if } x \geq 0\end{array}\right.f(x)={−9x+35x−5​ if x<0 if x≥0​

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

Fill in the blank with one of the words or phrases listed below. slope-intercept directly slope jointly parallel perpendicular function inversely linear function -___________form of a linear equation in two variables is y=mx+by = m x + by=mx+b .

Fill in the blank with one of the words or phrases listed below. slope-intercept directly slope jointly parallel perpendicular function inversely linear function -----------------lines have the same slope and different y-intercepts.

Solve. -Suppose that WWW is inversely proportional to VVV . If W=36W = 36W=36 when V=7V = 7V=7 , find WWW when V=63V = 63V=63 .

Use function notation to write the equation of the line with the given slope and y-intercept. -Slope 25;y\frac { 2 } { 5 } ; y52​;y -intercept (0,−8)( 0 , - 8 )(0,−8)

Find an equation of the line satisfying the given conditions. Write the equation using function notation. -Parallel to 2x−5y=−8;2 x - 5 y = - 8 ;2x−5y=−8; through (5,9)( 5,9 )(5,9)

Find the variation equation for the variation statement. - z\mathrm { z }z varies jointly as y\mathrm { y }y and the cube of x;z=1792\mathrm { x } ; \mathrm { z } = 1792x;z=1792 when x=4\mathrm { x } = 4x=4 and y=−4\mathrm { y } = - 4y=−4

Graph the linear function. -f (x)=5x−3(x)=5 x-3(x)=5x−3

Find the variation equation for the variation statement. - yyy varies inversely as the square of x;y=3x ; y = 3x;y=3 when x=6x = 6x=6

If y varies directly as x, find the direct variation equation for the situation. - y=12 when x=16y = 12 \text { when } x = 16y=12 when x=16

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

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

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

If y varies directly as x, find the direct variation equation for the situation. - $y = 7$ when $x = 42$

Graph the piecewise defined function. - $f(x)=\left\{\begin{array}{ll}-9 x+3 & \text { if } x<0 \\5 x-5 & \text { if } x \geq 0\end{array}\right.$ $Graph the piecewise defined function. - f(x)=\left\{\begin{array}{ll} -9 x+3 & \text { if } x<0 \\ 5 x-5 & \text { if } x \geq 0 \end{array}\right.$

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

Fill in the blank with one of the words or phrases listed below. slope-intercept directly slope jointly parallel perpendicular function inversely linear function -___________form of a linear equation in two variables is $y = m x + b$ .

Solve. -Suppose that $W$ is inversely proportional to $V$ . If $W = 36$ when $V = 7$ , find $W$ when $V = 63$ .

Use function notation to write the equation of the line with the given slope and y-intercept. -Slope $\frac { 2 } { 5 } ; y$ -intercept $( 0 , - 8 )$

Find an equation of the line satisfying the given conditions. Write the equation using function notation. -Parallel to $2 x - 5 y = - 8 ;$ through $( 5,9 )$

Find the variation equation for the variation statement. - $\mathrm { z }$ varies jointly as $\mathrm { y }$ and the cube of $\mathrm { x } ; \mathrm { z } = 1792$ when $\mathrm { x } = 4$ and $\mathrm { y } = - 4$

Graph the linear function. -f $(x)=5 x-3$

Find the variation equation for the variation statement. - $y$ varies inversely as the square of $x ; y = 3$ when $x = 6$

If y varies directly as x, find the direct variation equation for the situation. - $y = 12 \text { when } x = 16$

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