Free Printable Writing Linear Functions

1.

a)

A

b)

B

c)

C

d)

D

2.

a)

A

b)

B

c)

C

d)

D

3.

a)

A

b)

B

c)

C

d)

D

4.

through (-1, 2), slope = 3

a)

y = 5x+3

b)

y=-3x+5

c)

y = 3x+5

d)

y=-2x+3

5.

through (-4, 2), slope = 3/4

a)

y=-x+5

b)

y=-5x-1

c)

y=3/4 x + 5

d)

y=5x-1

6.

Consider the equation:
y=-x+4
Identify the slope and y-intercept.

a)

m=4, b=-x

b)

m=-x, b=4

c)

m=1, b=4

d)

m=-1, b=4

7.

Bob has $150 in his savings account and saves $40 per month.

a)

150 + 40

b)

40x + 150

c)

150x + 40

8.

Sonia has $40 in her lunch account and pays $2 each day to eat lunch.

a)

40 + 2x

b)

40 - 2x

c)

2 + 40x

d)

2 - 40x

9.

What is the y-intercept?

a)

7

b)

0

c)

1

d)

2

10.

Jenny went to the sale at Kohl's last weekend.
T-shirts were on sale for $15 each and hoodies were on sale for $20 each. If she spent $150 total, write an equation to represent this situation.

a)

20x + 15 = y

b)

35x = y

c)

15x + 20y = 150

d)

150 - 20x = 15y

11.

Transform from standard form to slope intercept form: 2x-3y=10

a)

y=-2x+10

b)

y= 2/3x-10/3

c)

y=-2/3x+ 10/3

d)

y=2/3x+10

12.

Find the slope between the two given points: (-2,1) and (5,7)

a)

7/6

b)

2

c)

6/7

d)

-2

13.

When you have a vertical line, you have a slope that's _______

a)

Zero

b)

Undefined

c)

One

d)

Ten

14.

What equation does the table represent?

a)

y=x+1

b)

y=x-1

c)

y=2x+1

d)

y=2x-1

15.

Which equation matches the table?

a)

y=2x

b)

y=x-3

c)

y=x+2

d)

y=1/2x

16.

Which graph represents x=2?

a)

A

b)

B

c)

C

d)

D

17.

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.

a)

y = 3x + 2.5

b)

y = 2.50x + 3

c)

y = 2.50x

d)

y = 3x + 2.50

18.

You plan to go snowboarding. The resort charges $15 an hour in addition to $25 to rent a board. Write an equation that represents the cost to go snowboarding for the day.

a)

y=15x-25

b)

15x+25y=100

c)

25x+y=15

d)

y=15x+25

19.

What is the y-intercept?

a)

7

b)

0

c)

1

d)

2

20.

A holiday meal costs $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs, including delivery, for x people?

a)

y = 30 + 12.5x

b)

y = 12.5 + 30

c)

y = 12.5 + 30x

21.

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?

a)

y = 8.5 + 25.5

b)

y = 25.5 + 8.5x

c)

y = 8.5 + 25.5x

22.

Jerry has $20 and makes $7 per hour. Which equation represents the total amount of money Jerry has after working x hours?

a)

y = 7x + 20

b)

y = 7 + 20x

c)

y = 20 + 7

23.

Sandra has a $20 itunes gift card and spends $3 each month. Which equation can be used to find how much money Sandra has on her giftcard after x months?

a)

y = 3x + 20

b)

y = 3 + 20x

c)

y = -3x + 20

d)

y = -20x + 3

24.

You plan to go snowboarding. The resort charges $15 an hour in addition to $25 to rent a board. Write an equation that represents the cost to go snowboarding for the day.

a)

y=15x-25

b)

15x+25y=100

c)

25x+y=15

d)

y=15x+25

25.

The total cost (y) at an amusement park can be modeled by y=1.5x+20 where x is the number of rides you ride. What is the entrance fee?

a)

1.5

b)

200

c)

0

d)

20

26.

A man is climbing down from 100 feet high descending 30 feet per minute.

a)

y = - 30x + 100

b)

y = 100 + 30x

c)

y = 100x + 30

d)

y = 100x - 30

27.

To rent a bike, Max pays a flat fee plus an hourly rental fee. The graph below shows the amount, C dollars, he pays based on the number of hours, t, he uses the bike. Which statement below is correct based on the information given in the graph?

a)

Max pays a flat fee of $5 to rent a bike.

b)

Max pays $5 per hour to rent a bike.

c)

Max pays $2 per hour to rent a bike.

d)

Max pays a flat fee of $2 to rent a bike.

28.

Which of the following is a linear equation?

a)

$y=x^3-x^2+5$

b)

$x=y^2-3$

c)

$y=4x–6$

d)

$y=\frac{4}{x},\ \ x≠0$

29.

What is the equation of the line that passes through point (0, 7) and has a slope of -2?

a)

$𝑦=−2𝑥−3$

b)

$𝑦=−2𝑥+3$

c)

$𝑦=7𝑥−2$

d)

$𝑦=−2𝑥+7$

30.

Which phrase best describes the graph

y = -4x + 6 ?

a)

It is a straight line with a positive slope.

b)

It is a straight line with a negative slope.

c)

It is a non-linear function.

d)

None of the above.

31.

What is the slope in the equation?

y-2x=4

a)

2

b)

-2

c)

4

d)

-4

32.

What is the equation of the line whose slope is -1 and whose y – intercept is -5?

a)

$y=-x\ -5$

b)

$y=-5x-1$

c)

$y=-x+5$

d)

$y=5x+1$

33.

The linear function 4x - 2y = -16 written in y = mx + b is:

a)

$y=-8x$

b)

$y=2x+8$

c)

$2x+y=-6$

d)

$y=-2x-8$

34.

Function 1 is represented by the table above:

Function 2 is represented by the equation y = 2x – 4.

Which statement is true?

a)

Function 1 has a greater rate of change than Function 2.

b)

Function 2 has a greater rate of change than Function 1.

c)

They have the same rate of change

d)

Function 1 has a positive rate of change, and Function 2 has a negative rate of change.

35.

Find the slope of the line using the table.

a)

$-\frac{3}{4}$

b)

$\frac{3}{4}$

c)

$\frac{4}{3}$

d)

$-\frac{4}{3}$

36.

Which equation represents the line shown on the coordinate plane?

a)

$𝑦=\frac{2}{5}𝑥−2$

b)

$𝑦=\frac{2}{5}𝑥+5$

c)

$y=-\frac{2}{5}𝑥+5$

d)

$𝑦=−\frac{2}{5}𝑥−2$

37.

What is the equation of the line that passes through the points

(-2, 6) and (0, -2)?

a)

$y=-2x–4$

b)

$y=-4x-2$

c)

$y=-\frac{2}{3}x-2$

d)

$y=-2x\ –\ 2$

38.

The table above shows the cost of different numbers of goldfish at a pet store.

a)

The cost increases $0.30 each time 1 goldfish is added.

b)

The cost increases $1.50 each time 1 goldfish is added.

c)

The cost increases $3.00 each time 5 goldfish are added.

d)

The cost increases $6.00 each time 5 goldfish are added.

39.

What is the slope intercept form of the function graphed below?

a)

y = 1/3 x +2

b)

y = - 1/3 x + 3

c)

y = 2 x + 1/3

40.

What is slope intercept form?

a)

$y=mx+b$

b)

$y-y_1=m\left(x-x_1\right)$

c)

$Ax+By=C$

d)

$m=\frac{y_2-y_1}{x_2-x_1}$

41.

Which equation matches the table?

a)

y = x

b)

y = 5x

c)

y = x - 4

d)

y = x + 4

42.

Write the equation for the line in slope-intercept form.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

43.

Find the equation of the line IN SLOPE-INTERCEPT FORM that passes through the points:

(3, 4) and (0, -5)

a)

y = 3x + 5

b)

y = -3x + 4

c)

y = -3x + 4

d)

y = 3x - 5

44.

Write the equation of a line in slope intercept form.
m = 1/2
b = 6

a)

y = 1/2x + 6

b)

y = 6x + 1/2

45.

Write the equation of a line that passes through the point (-5,-4) and has a slope of 1/5.

a)

y=1/5x - 3

b)

y=-3x-2/5

c)

y= 1/5x - 4

d)

y= 1/5x + 3

46.

Find the slope from the table.

a)

-4

b)

1

c)

4

d)

-2

47.

Which equation best represents the relationship between x and y in the table shown?

a)

y= 5x+5

b)

y=1/5x+5

c)

y=15x+5

d)

y=10x+5

48.

Transform from standard form to slope intercept form: 2x-3y=10

a)

y=-2x+10

b)

y= 2/3x-10/3

c)

y=-2/3x+ 10/3

d)

y=2/3x+10

49.

What equation does the table represent?

a)

y=x+1

b)

y=x-1

c)

y=2x+1

d)

y=2x-1

50.

Which equation matches the table?

a)

y=2x

b)

y=x-3

c)

y=x+2

d)

y=1/2x

51.

Which equation is being represented by this line?

a)

y = -1x + 2

b)

y = 1/2x + 2

c)

y = 3x -4

d)

y = -3x +2

52.

Writing Equations:
Given the following table, write the linear equation.

a)

y = 9x + 3

b)

y = 3x + 12

c)

y = 3x + 9

d)

y = 1x + 12

53.

Write the slope-intercept form of the equation of each line.

a)

y = -2x - 2

b)

y=-\frac{1}{2}x-2

c)

y=2x-2

d)

y=-2x+2

54.

Write the slope-Intercept form of this line:

a)

$y=4x+\frac{1}{2}$

b)

$y=-x+4$

c)

$y=\frac{1}{2}x+4$

d)

$y=x+4$

55.

Write the point-slope form when given the following information:

through: (0, 0) and (3, -2)

a)

$y=-x$

b)

$y=-\frac{3}{2}x$

c)

y=x

d)

$y=-\frac{2}{3}x$

56.

Write the Slope-Intercept form with the information given:

through: (-5, 0) and (0, -1)

a)

$y=\frac{2}{5}x-\frac{3}{5}$

b)

$y=-\frac{1}{5}x-1$

c)

$y=-\frac{3}{5}x-1$

d)

$y=-x-\frac{3}{5}$

57.

Write the Slope-Intercept form when given the following:

through: (-1,-5) and (0,-3)

a)

$y=x-3$

b)

$y=-2x-3$

c)

$y=2x-3$

d)

$y=-x-3$

58.

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.

a)

y = 3x + 2.5

b)

y = 2.50x + 3

c)

y = 2.50x

d)

y = 3x + 2.50

59.

A holiday meal costs $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs, including delivery, for x people?

a)

y = 30 + 12.5x

b)

y = 12.5 + 30

c)

y = 12.5 + 30x

60.

Which equation shows the number of bottles left after x days?
A family buys a case of water with 48 bottles and drinks 5 bottles per day.

a)

y = 48x + 5

b)

y = -5 + 48x

c)

y = -5x - 48

d)

y = 48 - 5x

61.

Sandra has a $20 itunes gift card and spends $3 each month. Which equation can be used to find how much money Sandra has on her giftcard after x months?

a)

y = 3x + 20

b)

y = 3 + 20x

c)

y = -3x + 20

d)

y = -20x + 3

62.

Which of the following situations could be descried by the equation y= -25x + 120

a)

There are 120 people in the football stadium, and 25 more are entering each hour.

b)

A plumber charges $25 for a house call and $120 per hour.

c)

A teacher has 120 students. Her third period has 25 students

d)

There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

63.

Heather is a hairdresser and her customers pay $5 to reserve an appointment time and $12 for every hour Heather works on their hair style. As a back to school special she offers to lower her price per hour by $5. What equation represents the total amount paid to Heather, y, after x hours of hair styling?

a)

y = 5 + 12x

b)

y = 12x

c)

y = 7x + 5

d)

y = 12x + 12

64.

At the beginning of the summer, Jenna had saved $141. To earn money of the summer, she is working part time at the local community center. She will earn $32 per day of work. If x represents the number of days she works, which of the following equations represents how much money she will have, including her savings?

a)

y = 141-32x

b)

y = x + 141

c)

y = 32x + 141

d)

y = 141x + 32

65.

To prepare for a recent road trip, Jill filled up her 19-gallon tank. She estimates that her SUV will use about three gallons per hour. Write an equation to model the amount of gasoline, G, remaining in her tank after t hours.

a)

G=19 – 3t

b)

G=19 + 3t

c)

G=3 - 19t

d)

G=3 + 19t

66.

A plant is 5cm tall and growing at a rate of 3cm a month.

a)

y = 5 + 3

b)

y = 5x + 3

c)

y = 3x + 5

d)

y = 3x + 5x

67.

Bob has $150 in his savings account and saves $40 per month.

a)

y = 150 + 40

b)

y = 40x + 150

c)

y = 150x + 40

68.

The total cost (y) at an amusement park can be modeled by y=1.5x+20 where x is the number of rides you ride. What is the price per ride?

a)

1.5

b)

21.5

c)

0

d)

20

69.

Jerry has $20 and makes $7 per hour. Which equation represents the total amount of money Jerry has after working x hours?

a)

y = 7x + 20

b)

y = 7 + 20x

c)

y = 20 + 7

70.

Sandra has a $20 itunes gift card and spends $3 each month. Which equation can be used to find how much money Sandra has on her giftcard after x months?

a)

y = 3x + 20

b)

y = 3 + 20x

c)

y = -3x + 20

d)

y = -20x + 3

71.

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

a)

y = 8x + 50

b)

C = 50m +8

c)

y = 50x + 8

d)

C = 8m + 50

72.

A plumber charges $50 to make a house call. He also charges $25 per hour for labor.

How much would it cost for 2.5 hours of labor?

a)

$100

b)

4.50

c)

$112.50

d)

$65.00

e)

$123.45

73.

Jacob collects hats. He has 6 hats already, and he collects 2 hats a week.

a)

y = 2x + 6

b)

y = 6x + 2

c)

y = 2x - 6

d)

y = 6x - 2

74.

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage. If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

a)

C = 0.20x + 15

b)

C =15 (0.20x)

c)

C = 15 + x + 0.20

d)

C = 0.20 + 15x

75.

Talk time Phone Company charges $0.12 per minute of phone use plus a monthly service fee of $8.00 for its phone service. How many minutes were used if the monthly bill was $188?

a)

188

b)

1500

c)

2777

d)

7000

76.

A 7-inch candle burns at a rate of 2-inches per hour. Which equation represents the relationship between y, the height of the dandle in inches, and x, the number of hours the candle burns?

a)

y=2x+7

b)

y=7-2x

c)

y=2-7x

d)

y=7x+2

77.

The price p of an ice cream is $3.95 plus $0.85 for each topping t on the ice cream.

a)

p = 0.85t - 3.95

b)

p = 0.85t + 3.95

c)

p = 3.95t + 0.85

78.

A football team averages 4.5 yards/play. They start a drive on their own 20 yard line. Write a function that tells how far d from their own goal line they will be as a function of plays p.

a)

d= 4.5p - 20

b)

p=4.5d + 20

c)

p= 4.5d - 20

d)

d= 4.5p + 20

79.

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

a)

y = 8x + 50

b)

C = 50m +8

c)

y = 50x + 8

d)

C = 8m + 50

80.

The total cost (y) at Six Flags can be modeled by y=1.5x+20 where x is the number of rides you ride. Splash Down Dune's can be modeled by y = 2.4x + 15. Which has the steeper slope?

a)

Six Flags

b)

Splash Down Dunes

c)

They are the same

81.

The total cost (y) at Six Flags can be modeled by y=1.5x+20 where x is the number of rides you ride. Splash Down Dune's can be modeled by y = 2.4x + 15. Which has a greater entrance fee?

a)

Six Flags

b)

Splash Down Dunes

c)

They are the same

82.

You are laying bricks for a patio. Every row has 20 bricks in it. Write a function that represents the number of bricks (y) you lay in x rows.

a)

y= x+20

b)

y=20

c)

y=20x

d)

20 = x

83.

A T-shirt design company charges your team an initial fee of $25 to create the team's design. Each t-shirt printed with your design costs an additional $8. The equation for this situation is y = 8x + 25. Interpret the y-intercept in context.

a)

The additional fee of $8.

b)

The initial fee of $25.

c)

The additional fee of $25.

d)

The initial fee of $8.

84.

A camp charges families a fee of $625 per month for one child and a certain amount more per month for each additional child. Use the graph to write an equation in slope-intercept form to represent the amount a family with x additional children would pay.

a)

y = 625x + 225

b)

y = 225x

c)

y = 225x + 625

d)

y = 625

85.

A man is climbing down from 100 feet high descending 30 feet per minute.

a)

y = 100 - 30x

b)

y = 100 + 30x

c)

y = 100x + 30

d)

y = 100x - 30

Writing Linear Functions

Total questions: 85

Worksheet time: 5hrs 55mins

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