Question 1

Find the slope-intercept form of the equation of a line with the given slope that passes through the given point.
-Slope 0 , through $( - 7 , - 1 )$

Accepted Answer

A)  $x = - 1$ 
B)  $y = - 7$ 
C)  $x = - 7$ 
D)  $y = - 1$ 
A)  $x = - 1$ 
B)  $y = - 7$ 
C)  $x = - 7$ 
D)  $y = - 1$

Question 2

Determine whether the lines associated with the functions are parallel, perpendicular, or neither.
-$$\begin{array} { l } 
f ( x ) = 9 x - 1 \
f ( x ) = - \frac { 1 } { 9 } x - 2
\end{array}$$

Accepted Answer

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

Question 3

Find the slope of a line that has the given relationship to the given line. If the slope is undefined, state this.
-Parallel to 2x - 5y = -8

Accepted Answer

A)  $- \frac { 2 } { 5 }$ 
B)  $\frac { 5 } { 2 }$ 
C)  $\frac { 2 } { 5 }$ 
D)  $- \frac { 5 } { 2 }$ 
A)  $- \frac { 2 } { 5 }$ 
B)  $\frac { 5 } { 2 }$ 
C)  $\frac { 2 } { 5 }$ 
D)  $- \frac { 5 } { 2 }$

Question 4

Write the equation in slope-intercept form.
-$$x - 6 y = 2$$

Accepted Answer

A)  $y = \frac { 1 } { 6 } x - \frac { 1 } { 3 }$ 
B)  $y = \frac { 1 } { 6 } x + \frac { 1 } { 3 }$ 
C)  $y = \frac { 1 } { 6 } x - 2$ 
D)  $y = \frac { 1 } { 6 } x + 2$ 
A)  $y = \frac { 1 } { 6 } x - \frac { 1 } { 3 }$ 
B)  $y = \frac { 1 } { 6 } x + \frac { 1 } { 3 }$ 
C)  $y = \frac { 1 } { 6 } x - 2$ 
D)  $y = \frac { 1 } { 6 } x + 2$

Question 5

Decide whether or not the ordered pair is a solution of the equation.
-$$\{ ( - 6 , - 1 ) , ( - 2,2 ) , ( 1,5 ) , ( 6,7 ) \}$$

Accepted Answer

A)  Yes 
B)  $\mathrm { No }$ 
A)  Yes 
B)  $\mathrm { No }$

Question 6

Find the equation of the line with the given slope and y -intercept.
-Slope 0; y-intercept (0, 2)

Accepted Answer

A)  y = 0 
B) y = 2x 
C)  y = 2 
D) x = 2 
A)  y = 0 
B) y = 2x 
C)  y = 2 
D) x = 2

Question 7

Solve the problem.
-A school holds a fundraising event. Attendees are charged $12 for dinner, plus 50¢ for each raffle ticket. Create a function f(x) for the amount that a person pays if she eats dinner and purchases x
Raffle tickets. Use the function f(x) to determine how much a person pays if she eats dinner and
Plays 22 games.

Accepted Answer

A)  f(x) = 50x + 12; $1112.00 
B)  f(x) = 0.5x; $11.00 
C)  f(x) = 0.5x + 12; $23.00 
D)  f(x) = 12x + 0.5; $264.50 
A)  f(x) = 50x + 12; $1112.00 
B)  f(x) = 0.5x; $11.00 
C)  f(x) = 0.5x + 12; $23.00 
D)  f(x) = 12x + 0.5; $264.50

Question 8

Provide an appropriate response.
-Find the equation of a line that is parallel to 6y = 18 and has a y-intercept at

Accepted Answer

A)  y = -1 
B) y = 1 
C) y = 6x + 1 
D) y = 4 
A)  y = -1 
B) y = 1 
C) y = 6x + 1 
D) y = 4

Question 9

Determine whether the lines associated with the functions are parallel, perpendicular, or neither.
-f(x) = 8 f(x) = -3

Accepted Answer

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

Question 10

Determine whether the two given lines are perpendicular.
-$$y = \frac { 11 } { 4 } x - 6$$

Accepted Answer

A)  $\frac { 11 } { 4 }$; $( 0 , - 6 )$ 
B)  $- \frac { 11 } { 4 } ; ( 0 , - 6 )$ 
C)  $\frac { 11 } { 4 } ; ( 0,6 )$ 
D)  $- \frac { 11 } { 4 } ; ( 0,6 )$ 
A)  $\frac { 11 } { 4 }$; $( 0 , - 6 )$ 
B)  $- \frac { 11 } { 4 } ; ( 0 , - 6 )$ 
C)  $\frac { 11 } { 4 } ; ( 0,6 )$ 
D)  $- \frac { 11 } { 4 } ; ( 0,6 )$

Question 11

Find the slope-intercept form of the equation of a line that passes through the given points.
-$$( 9,0 ) , ( 0,3 )$$

Accepted Answer

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

Question 12

Find the slope of a line that has the given relationship to the given line. If the slope is undefined, state this.
-Perpendicular to $3 x + y = - 8$

Accepted Answer

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

Question 13

Choose the one alternative that best completes the statement or answers the question.
-What is the relationship between the slopes of two parallel lines?

Accepted Answer

A)  There is no general relationship, because the y-intercepts can be different. 
B)  One slope is the negative of the other. 
C)  They are equal. 
D)  One slope is the reciprocal of the other. 
A)  There is no general relationship, because the y-intercepts can be different. 
B)  One slope is the negative of the other. 
C)  They are equal. 
D)  One slope is the reciprocal of the other.

Question 14

Solve the problem.

-A gas station sells 4820 gallons of regular unleaded gasoline in a day when they charge $1.35 per gallon, whereas they sell 3858 gallons on a day that they charge $1.40 per gallon. Find a linear
Equation for gallons sold (y) at a price x. Predict the number of gallons sold at a price of $1.19 per
Gallon.

Accepted Answer

A)  7895.1 gallons 
B)  7898.4 gallons 
C)  7907.4 gallons 
D)  7902.5 gallons 
A)  7895.1 gallons 
B)  7898.4 gallons 
C)  7907.4 gallons 
D)  7902.5 gallons

Question 15

Solve the problem.

-The average value of a certain type of automobile was $15,900 in 1991 and depreciated to $6900 in 1994. Let y be the average value of the automobile in the year x, where x = 0 represents 1991.
Write a linear equation that models the value of the automobile (y) in terms of the year x.

Accepted Answer

A)  $y = - \frac { 1 } { 3000 } x - 6900$ 
B)  $y = - 3000 x + 6900$ 
C)  $\mathrm { y } = - 3000 \mathrm { x } + 15,900$ 
D)  $y = - 3000 x - 2100$ 
A)  $y = - \frac { 1 } { 3000 } x - 6900$ 
B)  $y = - 3000 x + 6900$ 
C)  $\mathrm { y } = - 3000 \mathrm { x } + 15,900$ 
D)  $y = - 3000 x - 2100$

Question 16

Solve the problem.

-If the product of the slopes of two lines is -1, what do we know about the lines?

Accepted Answer

They are p

Question 17

Solve the problem.
-y = 2x - 3 8x + 4y = 7

Accepted Answer

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

Question 18

Determine whether the two given lines are perpendicular.
-$$- 4 x + 5 y = 5$$

Accepted Answer

A)  $- 1 \frac { 1 } { 4 } ; ( 0,1 )$ 
B)  $\frac { 4 } { 5 } ; ( 0,1 )$ 
C)  $1 \frac { 1 } { 4 } ; ( 0 , - 1 )$ 
D)  $- \frac { 4 } { 5 } ; ( 0 , - 1 )$ 
A)  $- 1 \frac { 1 } { 4 } ; ( 0,1 )$ 
B)  $\frac { 4 } { 5 } ; ( 0,1 )$ 
C)  $1 \frac { 1 } { 4 } ; ( 0 , - 1 )$ 
D)  $- \frac { 4 } { 5 } ; ( 0 , - 1 )$

Question 19

Find the slope-intercept form of the equation of a line that passes through the given points.
-$( 0,0 ) , ( 1 , - 8 )$

Accepted Answer

A)  $y = - \frac { 1 } { 8 } x$ 
B)  $y = - 8 x$ 
C)  $y = 8 x$ 
D)  $y = \frac { 1 } { 8 } x$ 
A)  $y = - \frac { 1 } { 8 } x$ 
B)  $y = - 8 x$ 
C)  $y = 8 x$ 
D)  $y = \frac { 1 } { 8 } x$

Question 20

Solve the problem.
-Create a linear function whose graph has a slope of $\frac { 7 } { 8 }$ and a y-intercept at $\left( 0 , \frac { 2 } { 3 } \right)$.

Accepted Answer

A)  $f ( x ) = - \frac { 7 } { 8 } x + \frac { 2 } { 3 }$ 
B)  $f ( x ) = \frac { 2 } { 3 } x - \frac { 7 } { 8 }$ 
C)  $f ( x ) = \frac { 7 } { 8 } x + \frac { 2 } { 3 }$ 
D)  $f ( x ) = - \frac { 2 } { 3 } x + \frac { 7 } { 8 }$ 
A)  $f ( x ) = - \frac { 7 } { 8 } x + \frac { 2 } { 3 }$ 
B)  $f ( x ) = \frac { 2 } { 3 } x - \frac { 7 } { 8 }$ 
C)  $f ( x ) = \frac { 7 } { 8 } x + \frac { 2 } { 3 }$ 
D)  $f ( x ) = - \frac { 2 } { 3 } x + \frac { 7 } { 8 }$

Find the slope-intercept form of the equation of a line with the given slope that passes through the given point. -Slope 0 , through $( - 7 , - 1 )$

Determine whether the lines associated with the functions are parallel, perpendicular, or neither. - f(x)=9x-1 f(x)=-x-2

Find the slope of a line that has the given relationship to the given line. If the slope is undefined, state this. -Parallel to 2x - 5y = -8

Write the equation in slope-intercept form. - $x - 6 y = 2$

Decide whether or not the ordered pair is a solution of the equation. - $\{ ( - 6 , - 1 ) , ( - 2,2 ) , ( 1,5 ) , ( 6,7 ) \}$

Find the equation of the line with the given slope and y -intercept. -Slope 0; y-intercept (0, 2)

Provide an appropriate response. -Find the equation of a line that is parallel to 6y = 18 and has a y-intercept at

Determine whether the lines associated with the functions are parallel, perpendicular, or neither. -f(x) = 8 f(x) = -3

Determine whether the two given lines are perpendicular. - $y = \frac { 11 } { 4 } x - 6$

Find the slope-intercept form of the equation of a line that passes through the given points. - $( 9,0 ) , ( 0,3 )$

Find the slope of a line that has the given relationship to the given line. If the slope is undefined, state this. -Perpendicular to $3 x + y = - 8$

Choose the one alternative that best completes the statement or answers the question. -What is the relationship between the slopes of two parallel lines?

Solve the problem. -If the product of the slopes of two lines is -1, what do we know about the lines?

Solve the problem. -y = 2x - 3 8x + 4y = 7

Determine whether the two given lines are perpendicular. - $- 4 x + 5 y = 5$

Find the slope-intercept form of the equation of a line that passes through the given points. - $( 0,0 ) , ( 1 , - 8 )$

Solve the problem. -Create a linear function whose graph has a slope of $\frac { 7 } { 8 }$ and a y-intercept at $\left( 0 , \frac { 2 } { 3 } \right)$ .

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

Find the slope-intercept form of the equation of a line with the given slope that passes through the given point. -Slope 0 , through (−7,−1)( - 7 , - 1 )(−7,−1)

Determine whether the lines associated with the functions are parallel, perpendicular, or neither. - f(x)=9x-1 f(x)=-x-2

Find the slope of a line that has the given relationship to the given line. If the slope is undefined, state this. -Parallel to 2x - 5y = -8

Write the equation in slope-intercept form. - x−6y=2x - 6 y = 2x−6y=2

Decide whether or not the ordered pair is a solution of the equation. - {(−6,−1),(−2,2),(1,5),(6,7)}\{ ( - 6 , - 1 ) , ( - 2,2 ) , ( 1,5 ) , ( 6,7 ) \}{(−6,−1),(−2,2),(1,5),(6,7)}

Find the equation of the line with the given slope and y -intercept. -Slope 0; y-intercept (0, 2)

Provide an appropriate response. -Find the equation of a line that is parallel to 6y = 18 and has a y-intercept at

Determine whether the lines associated with the functions are parallel, perpendicular, or neither. -f(x) = 8 f(x) = -3

Determine whether the two given lines are perpendicular. - y=114x−6y = \frac { 11 } { 4 } x - 6y=411​x−6

Find the slope-intercept form of the equation of a line that passes through the given points. - (9,0),(0,3)( 9,0 ) , ( 0,3 )(9,0),(0,3)

Find the slope of a line that has the given relationship to the given line. If the slope is undefined, state this. -Perpendicular to 3x+y=−83 x + y = - 83x+y=−8

Choose the one alternative that best completes the statement or answers the question. -What is the relationship between the slopes of two parallel lines?

Solve the problem. -If the product of the slopes of two lines is -1, what do we know about the lines?

Solve the problem. -y = 2x - 3 8x + 4y = 7

Determine whether the two given lines are perpendicular. - −4x+5y=5- 4 x + 5 y = 5−4x+5y=5

Find the slope-intercept form of the equation of a line that passes through the given points. - (0,0),(1,−8)( 0,0 ) , ( 1 , - 8 )(0,0),(1,−8)

Solve the problem. -Create a linear function whose graph has a slope of 78\frac { 7 } { 8 }87​ and a y-intercept at (0,23)\left( 0 , \frac { 2 } { 3 } \right)(0,32​) .

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

Find the slope-intercept form of the equation of a line with the given slope that passes through the given point. -Slope 0 , through $( - 7 , - 1 )$

Write the equation in slope-intercept form. - $x - 6 y = 2$

Decide whether or not the ordered pair is a solution of the equation. - $\{ ( - 6 , - 1 ) , ( - 2,2 ) , ( 1,5 ) , ( 6,7 ) \}$

Determine whether the two given lines are perpendicular. - $y = \frac { 11 } { 4 } x - 6$

Find the slope-intercept form of the equation of a line that passes through the given points. - $( 9,0 ) , ( 0,3 )$

Find the slope of a line that has the given relationship to the given line. If the slope is undefined, state this. -Perpendicular to $3 x + y = - 8$

Determine whether the two given lines are perpendicular. - $- 4 x + 5 y = 5$

Find the slope-intercept form of the equation of a line that passes through the given points. - $( 0,0 ) , ( 1 , - 8 )$

Solve the problem. -Create a linear function whose graph has a slope of $\frac { 7 } { 8 }$ and a y-intercept at $\left( 0 , \frac { 2 } { 3 } \right)$ .