Question 1

Determine whether the lines associated with the functions are parallel, perpendicular, or neither.
-f(x) = 6x - 8 f(x) = -6x + 8

Accepted Answer

A)  Parallel 
B)  Neither 
C)  Perpendicular 
A)  Parallel 
B)  Neither 
C)  Perpendicular

Question 2

Decide whether or not the ordered pair is a solution of the equation.
-$$\{ ( 6 , - 6 ) , ( - 7 , - 1 ) , ( - 7 , - 4 ) , ( 1 , - 7 ) \}$$

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 3

Solve the problem.

-The total sales made by a salesperson was $25,000 after 3 months and $68,000 after 23 months. Predict the total sales after 36 months.

Accepted Answer

A)  $96,050 
B)  $95,992 
C)  $95,950 
D)  $95,920 
A)  $96,050 
B)  $95,992 
C)  $95,950 
D)  $95,920

Question 4

Find the slope of a line that has the given relationship to the given line. If the slope is undefined, state this.
-Perpendicular to $- 3 x - 2 y = 4$

Accepted Answer

A)  $- \frac { 2 } { 3 }$ 
B)  $\frac { 2 } { 3 }$ 
C)  1 
D)  $\frac { 3 } { 2 }$ 
A)  $- \frac { 2 } { 3 }$ 
B)  $\frac { 2 } { 3 }$ 
C)  1 
D)  $\frac { 3 } { 2 }$

Question 5

Solve the problem.
-A student gets a part time job selling magazine subscriptions. He is paid $37 for a 5-hour shift. He also earns $7 for each subscription sold. Create a function f(x) for the amount he earns on a
Shift when he sells x subscriptions. Use the function f(x) to determine how much he earns on a
Shift that he sells 15 subscriptions.

Accepted Answer

A)  f(x) = 7x + 37; $142 
B)  f(x) = 7x + 185; $290 
C)  f(x) = 5x + 37; $112 
D)  f(x) = 37x + 7; $562 
A)  f(x) = 7x + 37; $142 
B)  f(x) = 7x + 185; $290 
C)  f(x) = 5x + 37; $112 
D)  f(x) = 37x + 7; $562

Question 6

Choose the one alternative that best completes the statement or answers the question.
-True or False? The graph of y = c, where c is a real number constant, is a line parallel to the y-axis.

Accepted Answer

A)  False 
B)  True 
A)  False 
B)  True

Question 7

Solve the problem.
-To convert inches to centimeters, multiply the number of inches by $2.54$. Create a function, $\mathrm { f } ( \mathrm { x } )$, that converts $x$ inches to centimeters.

Accepted Answer

A)  $f ( x ) = x - 2.54$ 
B)  $f ( x ) = \frac { x } { 254 }$ 
C)  $f ( x ) = \frac { 2.54 } { x }$ 
D)  $f ( x ) = 2.54 x$ 
A)  $f ( x ) = x - 2.54$ 
B)  $f ( x ) = \frac { x } { 254 }$ 
C)  $f ( x ) = \frac { 2.54 } { x }$ 
D)  $f ( x ) = 2.54 x$

Question 8

Solve the problem.
-9x + 3y = 12 15x + 5y = 22

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 9

Solve the problem.

-In 1985, John invested $26,000 in the stock market. By 1992 his investment had grown to $27,600. If the market continues to grow at the same rate, how much will be in his account in 1997? Give your Answer to the nearest dollar.

Accepted Answer

A)  $28,743 
B)  $27,144 
C)  $27,601 
D)  $29,200 
A)  $28,743 
B)  $27,144 
C)  $27,601 
D)  $29,200

Question 10

Find the equation of a line with the given slope and y-intercept.
-Slope $\frac { 3 } { 2 } , y$-intercept $( 0 , - 1 )$

Accepted Answer

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

Question 11

Provide an appropriate response.
-Find a linear function $\mathrm { f } ( \mathrm { x } )$ with slope $< \frac { 1 } { 3 }$ such that $\mathrm { f } ( 11 ) = - 3$.

Accepted Answer

A)  $f ( x ) = < \frac { 1 } { 3 } x + \frac { 8 } { 3 }$ 
B)  $f ( x ) = \frac { 1 } { 3 } x - \frac { 2 } { 3 }$ 
C)  $f ( x ) = < \frac { 1 } { 3 } x + \frac { 2 } { 3 }$ 
D)  $f ( x ) = < \frac { 1 } { 3 } x + \frac { 20 } { 3 }$ 
A)  $f ( x ) = < \frac { 1 } { 3 } x + \frac { 8 } { 3 }$ 
B)  $f ( x ) = \frac { 1 } { 3 } x - \frac { 2 } { 3 }$ 
C)  $f ( x ) = < \frac { 1 } { 3 } x + \frac { 2 } { 3 }$ 
D)  $f ( x ) = < \frac { 1 } { 3 } x + \frac { 20 } { 3 }$

Question 12

Find the equation of a line with the given slope and y-intercept.
-Slope $\frac { 1 } { 4 } , \mathrm { y }$-intercept $( 0,4 )$

Accepted Answer

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

Question 13

Solve the problem.
-f(x) = 15 - 5x, f(2)

Accepted Answer

A)  25 
B)  13 
C)  10 
D)  5 
A)  25 
B)  13 
C)  10 
D)  5

Question 14

Solve the problem.
-Create a linear function whose graph has a slope of 0 and a y-intercept at (0, -9).

Accepted Answer

A)  f(x) = -9 
B)  f(x) = x + 9 
C)  f(x) = 9 
D)  f(x) = x - 9 
A)  f(x) = -9 
B)  f(x) = x + 9 
C)  f(x) = 9 
D)  f(x) = x - 9

Question 15

Find the slope-intercept form of the equation of a line with the given slope that passes through the given point.
-Slope $\frac { 3 } { 7 }$, through $( 7,3 )$

Accepted Answer

A)  $y = \frac { 3 } { 7 } x - 6$ 
B)  $y = \frac { 7 } { 3 } x + 6$ 
C)  $y = \frac { 3 } { 7 } x$ 
D)  $y = - \frac { 3 } { 7 } x$ 
A)  $y = \frac { 3 } { 7 } x - 6$ 
B)  $y = \frac { 7 } { 3 } x + 6$ 
C)  $y = \frac { 3 } { 7 } x$ 
D)  $y = - \frac { 3 } { 7 } x$

Question 16

Determine whether the given lines are parallel, perpendicular, or neither.
-y = 9x + 2 y = -9x - 9

Accepted Answer

A)  Neither 
B)  Parallel 
C)  Perpendicular 
A)  Neither 
B)  Parallel 
C)  Perpendicular

Question 17

Write the equation in slope-intercept form.
-$$- 5 x + y = 13$$

Accepted Answer

A)  $y = - 5 x - 13$ 
B)  $y = 5 x - 13$ 
C)  $y = - 5 x + 13$ 
D)  $y = 5 x + 13$ 
A)  $y = - 5 x - 13$ 
B)  $y = 5 x - 13$ 
C)  $y = - 5 x + 13$ 
D)  $y = 5 x + 13$

Question 18

Find the slope-intercept form of the equation of a line parallel or perpendicular to the given line and passing through
the given point.
-Parallel to $2 x - 5 y = - 6$, through $( 10,9 )$

Accepted Answer

A)  $y = - \frac { 5 } { 2 } x + 5$ 
B)  $y = \frac { 5 } { 2 } x + 5$ 
C)  $y = - \frac { 2 } { 5 } x + 13$ 
D)  $y = \frac { 2 } { 5 } x + 5$ 
A)  $y = - \frac { 5 } { 2 } x + 5$ 
B)  $y = \frac { 5 } { 2 } x + 5$ 
C)  $y = - \frac { 2 } { 5 } x + 13$ 
D)  $y = \frac { 2 } { 5 } x + 5$

Question 19

Provide an appropriate response.
-Find the equation of a line that is perpendicular to $\mathrm { y } = 3 \mathrm { x } + 2$ and has a $y$-intercept at $( 0 , - 4 )$.

Accepted Answer

A)  $y = - \frac { 1 } { 3 } x + 4$ 
B)  $y = 3 x - 4$ 
C)  $y = \frac { 1 } { 3 } x - 4$ 
D)  $y = - \frac { 1 } { 3 } x - 4$ 
A)  $y = - \frac { 1 } { 3 } x + 4$ 
B)  $y = 3 x - 4$ 
C)  $y = \frac { 1 } { 3 } x - 4$ 
D)  $y = - \frac { 1 } { 3 } x - 4$

Question 20

Write the equation in slope-intercept form.
-$15 x - 4 y = 3$

Accepted Answer

A)  $y = - \frac { 15 } { 4 } x - 3$ 
B)  $y = - \frac { 15 } { 4 } x + 3$ 
C)  $y = \frac { 15 } { 4 } x - \frac { 3 } { 4 }$ 
D)  $y = \frac { 15 } { 4 } x + 3$ 
A)  $y = - \frac { 15 } { 4 } x - 3$ 
B)  $y = - \frac { 15 } { 4 } x + 3$ 
C)  $y = \frac { 15 } { 4 } x - \frac { 3 } { 4 }$ 
D)  $y = \frac { 15 } { 4 } x + 3$

Determine whether the lines associated with the functions are parallel, perpendicular, or neither. -f(x) = 6x - 8 f(x) = -6x + 8

Decide whether or not the ordered pair is a solution of the equation. - $\{ ( 6 , - 6 ) , ( - 7 , - 1 ) , ( - 7 , - 4 ) , ( 1 , - 7 ) \}$

Solve the problem. -The total sales made by a salesperson was $25,000 after 3 months and $68,000 after 23 months. Predict the total sales after 36 months.

Find the slope of a line that has the given relationship to the given line. If the slope is undefined, state this. -Perpendicular to $- 3 x - 2 y = 4$

Choose the one alternative that best completes the statement or answers the question. -True or False? The graph of y = c, where c is a real number constant, is a line parallel to the y-axis.

Solve the problem. -To convert inches to centimeters, multiply the number of inches by $2.54$ . Create a function, $\mathrm { f } ( \mathrm { x } )$ , that converts $x$ inches to centimeters.

Solve the problem. -9x + 3y = 12 15x + 5y = 22

Solve the problem. -In 1985, John invested $26,000 in the stock market. By 1992 his investment had grown to $27,600. If the market continues to grow at the same rate, how much will be in his account in 1997? Give your Answer to the nearest dollar.

Find the equation of a line with the given slope and y-intercept. -Slope $\frac { 3 } { 2 } , y$ -intercept $( 0 , - 1 )$

Provide an appropriate response. -Find a linear function $\mathrm { f } ( \mathrm { x } )$ with slope $< \frac { 1 } { 3 }$ such that $\mathrm { f } ( 11 ) = - 3$ .

Find the equation of a line with the given slope and y-intercept. -Slope $\frac { 1 } { 4 } , \mathrm { y }$ -intercept $( 0,4 )$

Solve the problem. -f(x) = 15 - 5x, f(2)

Solve the problem. -Create a linear function whose graph has a slope of 0 and a y-intercept at (0, -9).

Find the slope-intercept form of the equation of a line with the given slope that passes through the given point. -Slope $\frac { 3 } { 7 }$ , through $( 7,3 )$

Determine whether the given lines are parallel, perpendicular, or neither. -y = 9x + 2 y = -9x - 9

Write the equation in slope-intercept form. - $- 5 x + y = 13$

Find the slope-intercept form of the equation of a line parallel or perpendicular to the given line and passing through the given point. -Parallel to $2 x - 5 y = - 6$ , through $( 10,9 )$

Provide an appropriate response. -Find the equation of a line that is perpendicular to $\mathrm { y } = 3 \mathrm { x } + 2$ and has a $y$ -intercept at $( 0 , - 4 )$ .

Write the equation in slope-intercept form. - $15 x - 4 y = 3$

Review of Real Numbers

Linear Equations

Systems of Equations

Exponents and Polynomials

Factoring and Quadratic Equations

Rational Expressions and Equations

A Transition

Radical Expressions and Equations

Quadratic Equations

Functions

Logarithmic and Exponential Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 3: Graphing Linear Equations