Deck 3: Graphing Linear Equations

Question 1

Solve the problem.
2x = 3y - 3 6y = 6 - 4x

A) Yes
B) No

Answer 1

B

Question 2

Decide whether or not the ordered pair is a solution of the equation.

Answer 2

A

Question 3

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.

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

Answer 3

C

Question 4

Solve the problem.

Question 5

Solve the problem.
Create a linear function whose graph has a slope of 0 and a y-intercept at (0, 5).

A) f(x) = -5
B) f(x) = x - 5
C) f(x) = x + 5
D) f(x) = 5

Question 6

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.

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 7

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

A) Yes
B) No

Question 8

Decide whether or not the ordered pair is a solution of the equation.

Question 9

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

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

Question 10

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

A) Yes
B) No

Question 11

Solve the problem.

Question 12

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

A) Yes
B) No

Question 13

Solve the problem.

Question 14

Solve the problem.

Question 15

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

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

Question 16

Solve the problem.
In a certain state, 2200 acres of farmland are being developed into housing developments per year. Create a function, f(x), that models the acres of farmland lost to development in x years.

A) f(x) = 2020x
B) f(x) = 2200x
C) f(x) = -2200x
D) f(x) = -2020x

Question 17

Determine whether the two given lines are perpendicular.
y + 13 = -4x 6y = 18x - 17

A) Yes
B) No

Question 18

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

A) Yes
B) No

Question 19

Decide whether or not the ordered pair is a solution of the equation.

Question 20

Solve the problem.

Question 21

Determine whether the two given lines are perpendicular.
x = -7 y = -3

A) Yes
B) No

Question 22

Determine whether the given lines are parallel, perpendicular, or neither.

A) Parallel
B) Perpendicular
C) Neither

Question 23

Determine whether the given lines are parallel, perpendicular, or neither.
y + 16 = -4x 6y = 36x - 14

A) Parallel
B) Neither
C) Perpendicular

Question 24

Determine whether the two given lines are perpendicular.

Question 25

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

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

Question 26

Determine whether the two given lines are perpendicular.

Question 27

Determine whether the given lines are parallel, perpendicular, or neither.

A) Parallel
B) Perpendicular
C) Neither

Question 28

Determine whether the given lines are parallel, perpendicular, or neither.
3x - 8y = -7 32x + 12y = -4

A) Perpendicular
B) Neither
C) Parallel

Question 29

Determine whether the two given lines are perpendicular.

Question 30

Determine whether the two given lines are perpendicular.
3x - 8y = 18 48x + 12y = 18

A) Yes
B) No

Question 31

Determine whether the two given lines are perpendicular.

Question 32

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

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

Question 33

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

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

Question 34

Determine whether the two given lines are perpendicular.

Question 35

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

A) Yes
B) No

Question 36

Find the equation of the line with the given slope and y -intercept.
Slope -3; y-intercept (0, -9)

A) y = -3x - 9B)y = -3x + 3C)y = -3x + 9D)y = -9x - 3

Question 37

Determine whether the given lines are parallel, perpendicular, or neither.
y = x + 7 x + y = 0

A) Neither
B) Perpendicular
C) Parallel

Question 38

Determine whether the given lines are parallel, perpendicular, or neither.
y = 6x + 3 y = 6x - 2

A) Parallel
B) Neither
C) Perpendicular

Question 39

Determine whether the two given lines are perpendicular.

Question 40

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

A) Neither
B) Parallel
C) Perpendicular

Question 41

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

A) Perpendicular
B) Parallel
C) Neither

Question 42

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 = -3

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

Question 43

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

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

Question 44

Determine whether the given lines are parallel, perpendicular, or neither.
12x + 4y = 16 15x + 5y = 22

A) Neither
B) Perpendicular
C) Parallel

Question 45

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

Question 46

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

A) Perpendicular
B) Parallel
C) Neither

Question 47

Find the slope of a line that has the given relationship to the given line. If the slope is undefined, state this.

Question 48

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

A) Neither
B) Perpendicular
C) Parallel

Question 49

Determine whether the given lines are parallel, perpendicular, or neither.
x = 7 y = -3

A) Parallel
B) Perpendicular
C) Neither

Question 50

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

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

Question 51

Find the slope of a line that has the given relationship to the given line. If the slope is undefined, state this.

Question 52

Find the slope of a line that has the given relationship to the given line. If the slope is undefined, state this.

Question 53

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

A) Parallel
B) Neither
C) Perpendicular

Question 54

Determine whether the lines associated with the functions are parallel, perpendicular, or neither.

A) Neither
B) Perpendicular
C) Parallel

Question 55

Provide an appropriate response.

Question 56

Find the slope of a line that has the given relationship to the given line. If the slope is undefined, state this.
Parallel to 5x + 4y = 3

Question 57

Provide an appropriate response.

Question 58

Find the slope of a line that has the given relationship to the given line. If the slope is undefined, state this.
Perpendicular to x = -10

A) 0
B) -10
C) Undefined
D) 1

Question 59

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

A) Parallel
B) Neither
C) Perpendicular

Question 60

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

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

Question 61

Provide an appropriate response.
Find a linear function f(x) with slope -3 such that f(-9) = 6.

A) f(x) = -3x - 29
B) f(x) = 3x - 23
C) f(x) = -3x - 21
D) f(x) = -3x - 22

Question 62

Find the equation of a line with the given slope and y-intercept.

Question 63

Write the equation in slope-intercept form.

Question 64

Find the slope-intercept form of the equation of a line with the given slope that passes through the given point.

Question 65

Write the equation in slope-intercept form.

Question 66

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

A) y = 0B)x = 4C)y = 4x
D) y = 4

Question 67

Find the equation of a line with the given slope and y-intercept.

Question 68

Write the equation in slope-intercept form.

Question 69

Write the equation in slope-intercept form.

Question 70

Find the slope-intercept form of the equation of a line with the given slope that passes through the given point.

Question 71

Write the equation in slope-intercept form.

Question 72

Find the equation of a line with the given slope and y-intercept.

Question 73

Provide an appropriate response.
Find a linear function f(x) with slope -3 such that f(7) = -3.

A) f(x) = -3x + 16
B) f(x) = -3x + 19
C) f(x) = 3x + 17
D) f(x) = -3x + 18

Question 74

Provide an appropriate response.

Question 75

Write the equation in slope-intercept form.

Question 76

Find the slope-intercept form of the equation of a line with the given slope that passes through the given point.

Question 77

Find the slope-intercept form of the equation of a line with the given slope that passes through the given point.

Question 78

Find the equation of a line with the given slope and y-intercept.

Question 79

Provide an appropriate response.

Question 80

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

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