Question 1

Find the slope-intercept form of the equation of a line that passes through the given points.
-$$( 8,10 ) , ( - 3,10 )$$

Accepted Answer

A)  $y = \frac { 3 } { 8 } x$ 
B)  $y = 10$ 
C)  $y = \frac { 8 } { 3 } x$ 
D)  $\mathrm { y } = 8$ 
A)  $y = \frac { 3 } { 8 } x$ 
B)  $y = 10$ 
C)  $y = \frac { 8 } { 3 } x$ 
D)  $\mathrm { y } = 8$

Question 2

Provide an appropriate response.
-Find a linear function f(x) with slope - 2 such that f(2) = 4.

Accepted Answer

A)  f(x) = - 12 x + 8 
B)  f(x) = -2x + 8 
C)  f(x) = -2x + 18 
D)  f(x) = -2x - 8 
A)  f(x) = - 12 x + 8 
B)  f(x) = -2x + 8 
C)  f(x) = -2x + 18 
D)  f(x) = -2x - 8

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 y = 5x + 1

Accepted Answer

A)  1 
B)  -1 
C) -5 
D) 5 
A)  1 
B)  -1 
C) -5 
D) 5

Question 4

Find the slope-intercept form of the equation of a line parallel or perpendicular to the given line and passing through
the given point.
-Perpendicular to $- 8 x - 3 y = 70$, through $( - 8,5 )$

Accepted Answer

A)  $y = - \frac { 3 } { 8 } x - 8$ 
B)  $y = - \frac { 3 } { 8 } x - \frac { 35 } { 4 }$ 
C)  $y = \frac { 8 } { 3 } x + \frac { 64 } { 3 }$ 
D)  $y = \frac { 3 } { 8 } x + 8$ 
A)  $y = - \frac { 3 } { 8 } x - 8$ 
B)  $y = - \frac { 3 } { 8 } x - \frac { 35 } { 4 }$ 
C)  $y = \frac { 8 } { 3 } x + \frac { 64 } { 3 }$ 
D)  $y = \frac { 3 } { 8 } x + 8$

Question 5

Find the equation of the line with the given slope and y -intercept.
-Slope -9; y-intercept (0, 4)

Accepted Answer

A)  y = -9x - 4 
B) y = 4x - 9 
C) y = -9x + 4 
D) y = 9x + 4 
A)  y = -9x - 4 
B) y = 4x - 9 
C) y = -9x + 4 
D) y = 9x + 4

Question 6

Determine whether the two given lines are perpendicular.
-12x + 4y = 16 24x + 8y = 34

Accepted Answer

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

Question 7

Determine whether the lines associated with the functions are parallel, perpendicular, or neither.
-f(x) = 7x - 6 f(x) = 7x + 6

Accepted Answer

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

Question 8

Decide whether or not the ordered pair is a solution of the equation.
-$$\{ ( - 7 , - 2 ) , ( - 3,8 ) , ( 1,8 ) , ( 4,5 ) \}$$

Accepted Answer

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

Question 9

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

Accepted Answer

A)  0 
B)  3 
C)  -3 
D)  Undefined 
A)  0 
B)  3 
C)  -3 
D)  Undefined

Question 10

Find the equation of the line with the given slope and y -intercept.
-Slope 9; y-intercept (0, -2)

Accepted Answer

A)  y = 9x - 2 
B) y = -2x + 9 
C) y = 2x + 9 
D) y = 9x + 2 
A)  y = 9x - 2 
B) y = -2x + 9 
C) y = 2x + 9 
D) y = 9x + 2

Question 11

Determine whether the two given lines are perpendicular.
-$$7 x + 9 y = 73$$

Accepted Answer

A)  $\frac { 7 } { 9 } ; \left( 0 , \frac { 73 } { 9 } \right)$ 
B)  $- \frac { 2 } { 7 } ; \left( 0 , \frac { 9 } { 73 } \right)$ 
C)  $- \frac { 7 } { 9 } ; \left( 0 , \frac { 73 } { 9 } \right)$ 
D)  $\frac { 2 } { 7 } ; \left( 0 , \frac { 9 } { 73 } \right)$ 
A)  $\frac { 7 } { 9 } ; \left( 0 , \frac { 73 } { 9 } \right)$ 
B)  $- \frac { 2 } { 7 } ; \left( 0 , \frac { 9 } { 73 } \right)$ 
C)  $- \frac { 7 } { 9 } ; \left( 0 , \frac { 73 } { 9 } \right)$ 
D)  $\frac { 2 } { 7 } ; \left( 0 , \frac { 9 } { 73 } \right)$

Question 12

Provide an appropriate response.
-Find the equation of a line that is parallel to $7 x + y = 5$ and has a $y$-intercept at $( 0 , - 3 )$.

Accepted Answer

A)  $y = 7 x - 3$ 
B)  $y = 7 x + 3$ 
C)  $y = - 7 x - 3$ 
D)  $y = - \frac { 1 } { 7 } x - 3$ 
A)  $y = 7 x - 3$ 
B)  $y = 7 x + 3$ 
C)  $y = - 7 x - 3$ 
D)  $y = - \frac { 1 } { 7 } x - 3$

Question 13

Provide an appropriate response.
-Find the equation of a line that is parallel to $y = 3 x - 6$ and has a $y$-intercept at $( 0,9 )$.

Accepted Answer

A)  $y = 3 x + 9$ 
B)  $y = - 3 x + 9$ 
C)  $y = 3 x - 9$ 
D)  $y = - \frac { 1 } { 3 } x + 9$ 
A)  $y = 3 x + 9$ 
B)  $y = - 3 x + 9$ 
C)  $y = 3 x - 9$ 
D)  $y = - \frac { 1 } { 3 } x + 9$

Question 14

Solve the problem.
-3x - 4y = 3 16x + 8y = 3

Accepted Answer

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

Question 15

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 $\mathrm { y } = - \frac { 1 } { 2 } \mathrm { x } - 10$, through $( - 5 , - 4 )$

Accepted Answer

A)  $y = - \frac { 1 } { 2 } x + \frac { 13 } { 2 }$ 
B)  $y = 2 x - 6$ 
C)  $y = - \frac { 1 } { 2 } x - \frac { 13 } { 2 }$ 
D)  $y = 2 x + 6$ 
A)  $y = - \frac { 1 } { 2 } x + \frac { 13 } { 2 }$ 
B)  $y = 2 x - 6$ 
C)  $y = - \frac { 1 } { 2 } x - \frac { 13 } { 2 }$ 
D)  $y = 2 x + 6$

Question 16

Find the slope-intercept form of the equation of a line parallel or perpendicular to the given line and passing through
the given point.
-Perpendicular to $- 6 x - 7 y = - 46$, through $( 3 , - 4 )$

Accepted Answer

A)  $y = \frac { 6 } { 7 } x + \frac { 6 } { 7 }$ 
B)  $y = - \frac { 7 } { 6 } x - \frac { 15 } { 2 }$ 
C)  $y = \frac { 7 } { 6 } x - \frac { 15 } { 2 }$ 
D)  $y = - \frac { 3 } { 7 } x - \frac { 46 } { 7 }$ 
A)  $y = \frac { 6 } { 7 } x + \frac { 6 } { 7 }$ 
B)  $y = - \frac { 7 } { 6 } x - \frac { 15 } { 2 }$ 
C)  $y = \frac { 7 } { 6 } x - \frac { 15 } { 2 }$ 
D)  $y = - \frac { 3 } { 7 } x - \frac { 46 } { 7 }$

Question 17

Solve the problem.

- vendor has learned that, by pricing pretzels at $1.50, sales will reach 109 pretzels per day. Raising the price to $2.50 will cause the sales to fall to 69 pretzels per day. Let y be the number of pretzels the vendor sells at x dollars each. Write a linear equation that models the number of pretzels sold per day (y) when the price is x dollars each.

Accepted Answer

A)  $ y=40 x+49 $ 
B)  $ y=-\frac{1}{40} x+\frac{8717}{80} $ 
C)  $ y=-40 x-169 $ 
D)  $ y=-40 x+169 $ 
A)  $ y=40 x+49 $ 
B)  $ y=-\frac{1}{40} x+\frac{8717}{80} $ 
C)  $ y=-40 x-169 $ 
D)  $ y=-40 x+169 $

Question 18

Solve the problem.
-Bob buys a car that gets 13 miles per gallon of gasoline. Create a function, $\mathrm { f } ( \mathrm { x } )$, that represents the number of miles that Bob can travel with $x$ gallons of gasoline.

Accepted Answer

A)  $f ( x ) = 13 x$ 
B)  $f ( x ) = x + 13$ 
C)  $f ( x ) = \frac { 13 } { x }$ 
D)  $f ( x ) = \frac { x } { 13 }$ 
A)  $f ( x ) = 13 x$ 
B)  $f ( x ) = x + 13$ 
C)  $f ( x ) = \frac { 13 } { x }$ 
D)  $f ( x ) = \frac { x } { 13 }$

Question 19

Determine whether the two given lines are perpendicular.
-3x - 6y = -6 18x + 9y = -6

Accepted Answer

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

Question 20

Find the slope-intercept form of the equation of a line with the given slope that passes through the given point.
-Slope $< \frac { 1 } { 3 }$, through $( 10 , - 1 )$

Accepted Answer

A)  $y = < \frac { 1 } { 3 } x + \frac { 7 } { 3 }$ 
B)  $y = < \frac { 1 } { 3 } x + 3$ 
C)  $y = < \frac { 1 } { 3 } x + \frac { 13 } { 3 }$ 
D)  $y = \frac { 1 } { 3 } x - \frac { 7 } { 3 }$ 
A)  $y = < \frac { 1 } { 3 } x + \frac { 7 } { 3 }$ 
B)  $y = < \frac { 1 } { 3 } x + 3$ 
C)  $y = < \frac { 1 } { 3 } x + \frac { 13 } { 3 }$ 
D)  $y = \frac { 1 } { 3 } x - \frac { 7 } { 3 }$

Find the slope-intercept form of the equation of a line that passes through the given points. - $( 8,10 ) , ( - 3,10 )$

Provide an appropriate response. -Find a linear function f(x) with slope - 2 such that f(2) = 4.

Find the slope of a line that has the given relationship to the given line. If the slope is undefined, state this. -Parallel to y = 5x + 1

Find the slope-intercept form of the equation of a line parallel or perpendicular to the given line and passing through the given point. -Perpendicular to $- 8 x - 3 y = 70$ , through $( - 8,5 )$

Find the equation of the line with the given slope and y -intercept. -Slope -9; y-intercept (0, 4)

Determine whether the two given lines are perpendicular. -12x + 4y = 16 24x + 8y = 34

Determine whether the lines associated with the functions are parallel, perpendicular, or neither. -f(x) = 7x - 6 f(x) = 7x + 6

Decide whether or not the ordered pair is a solution of the equation. - $\{ ( - 7 , - 2 ) , ( - 3,8 ) , ( 1,8 ) , ( 4,5 ) \}$

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

Find the equation of the line with the given slope and y -intercept. -Slope 9; y-intercept (0, -2)

Determine whether the two given lines are perpendicular. - $7 x + 9 y = 73$

Provide an appropriate response. -Find the equation of a line that is parallel to $7 x + y = 5$ and has a $y$ -intercept at $( 0 , - 3 )$ .

Provide an appropriate response. -Find the equation of a line that is parallel to $y = 3 x - 6$ and has a $y$ -intercept at $( 0,9 )$ .

Solve the problem. -3x - 4y = 3 16x + 8y = 3

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 $\mathrm { y } = - \frac { 1 } { 2 } \mathrm { x } - 10$ , through $( - 5 , - 4 )$

Find the slope-intercept form of the equation of a line parallel or perpendicular to the given line and passing through the given point. -Perpendicular to $- 6 x - 7 y = - 46$ , through $( 3 , - 4 )$

Solve the problem. -Bob buys a car that gets 13 miles per gallon of gasoline. Create a function, $\mathrm { f } ( \mathrm { x } )$ , that represents the number of miles that Bob can travel with $x$ gallons of gasoline.

Determine whether the two given lines are perpendicular. -3x - 6y = -6 18x + 9y = -6

Find the slope-intercept form of the equation of a line with the given slope that passes through the given point. -Slope $< \frac { 1 } { 3 }$ , through $( 10 , - 1 )$

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 that passes through the given points. - (8,10),(−3,10)( 8,10 ) , ( - 3,10 )(8,10),(−3,10)

Provide an appropriate response. -Find a linear function f(x) with slope - 2 such that f(2) = 4.

Find the slope of a line that has the given relationship to the given line. If the slope is undefined, state this. -Parallel to y = 5x + 1

Find the slope-intercept form of the equation of a line parallel or perpendicular to the given line and passing through the given point. -Perpendicular to −8x−3y=70- 8 x - 3 y = 70−8x−3y=70 , through (−8,5)( - 8,5 )(−8,5)

Find the equation of the line with the given slope and y -intercept. -Slope -9; y-intercept (0, 4)

Determine whether the two given lines are perpendicular. -12x + 4y = 16 24x + 8y = 34

Determine whether the lines associated with the functions are parallel, perpendicular, or neither. -f(x) = 7x - 6 f(x) = 7x + 6

Decide whether or not the ordered pair is a solution of the equation. - {(−7,−2),(−3,8),(1,8),(4,5)}\{ ( - 7 , - 2 ) , ( - 3,8 ) , ( 1,8 ) , ( 4,5 ) \}{(−7,−2),(−3,8),(1,8),(4,5)}

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

Find the equation of the line with the given slope and y -intercept. -Slope 9; y-intercept (0, -2)

Determine whether the two given lines are perpendicular. - 7x+9y=737 x + 9 y = 737x+9y=73

Provide an appropriate response. -Find the equation of a line that is parallel to 7x+y=57 x + y = 57x+y=5 and has a yyy -intercept at (0,−3)( 0 , - 3 )(0,−3) .

Provide an appropriate response. -Find the equation of a line that is parallel to y=3x−6y = 3 x - 6y=3x−6 and has a yyy -intercept at (0,9)( 0,9 )(0,9) .

Solve the problem. -3x - 4y = 3 16x + 8y = 3

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 y=−12x−10\mathrm { y } = - \frac { 1 } { 2 } \mathrm { x } - 10y=−21​x−10 , through (−5,−4)( - 5 , - 4 )(−5,−4)

Find the slope-intercept form of the equation of a line parallel or perpendicular to the given line and passing through the given point. -Perpendicular to −6x−7y=−46- 6 x - 7 y = - 46−6x−7y=−46 , through (3,−4)( 3 , - 4 )(3,−4)

Solve the problem. -Bob buys a car that gets 13 miles per gallon of gasoline. Create a function, f(x)\mathrm { f } ( \mathrm { x } )f(x) , that represents the number of miles that Bob can travel with xxx gallons of gasoline.

Determine whether the two given lines are perpendicular. -3x - 6y = -6 18x + 9y = -6

Find the slope-intercept form of the equation of a line with the given slope that passes through the given point. -Slope <13< \frac { 1 } { 3 }<31​ , through (10,−1)( 10 , - 1 )(10,−1)

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 that passes through the given points. - $( 8,10 ) , ( - 3,10 )$

Find the slope-intercept form of the equation of a line parallel or perpendicular to the given line and passing through the given point. -Perpendicular to $- 8 x - 3 y = 70$ , through $( - 8,5 )$

Decide whether or not the ordered pair is a solution of the equation. - $\{ ( - 7 , - 2 ) , ( - 3,8 ) , ( 1,8 ) , ( 4,5 ) \}$

Determine whether the two given lines are perpendicular. - $7 x + 9 y = 73$

Provide an appropriate response. -Find the equation of a line that is parallel to $7 x + y = 5$ and has a $y$ -intercept at $( 0 , - 3 )$ .

Provide an appropriate response. -Find the equation of a line that is parallel to $y = 3 x - 6$ and has a $y$ -intercept at $( 0,9 )$ .

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 $\mathrm { y } = - \frac { 1 } { 2 } \mathrm { x } - 10$ , through $( - 5 , - 4 )$

Find the slope-intercept form of the equation of a line parallel or perpendicular to the given line and passing through the given point. -Perpendicular to $- 6 x - 7 y = - 46$ , through $( 3 , - 4 )$

Solve the problem. -Bob buys a car that gets 13 miles per gallon of gasoline. Create a function, $\mathrm { f } ( \mathrm { x } )$ , that represents the number of miles that Bob can travel with $x$ gallons of gasoline.

Find the slope-intercept form of the equation of a line with the given slope that passes through the given point. -Slope $< \frac { 1 } { 3 }$ , through $( 10 , - 1 )$