Free Printable Linear Functions Review

Worksheets

Linear Functions Review

Total questions: 40

Worksheet time: 1hrs 21mins

Name

Class

Date

Write in slope intercept form given the slope: m=3 and y int: -2

y=3x-2

y=2/3x

y=-2x+3

y=3x

Find slope:

m= 4

m=1/4

m=-4

m=-1/4

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

7/6

6/7

-2

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.

y = 3x + 2.5

y = 2.50x + 3

y = 2.50x

y = 3x + 2.50

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.

y=15x-25

15x+25y=100

25x+y=15

y=15x+25

_{What is the y-intercept of the line?}

y = 1/2

y = 1

y = -1/2

y = -1

What is the y-intercept?

Conner has $25,000 in his bank account. Every month he spends $1,500. He does not add money to the account.
Write a linear model that shows how much money will be in the account after x months.

y=25000x-1500

y=25000+1500

y=1500x+25000

y=-1500x+25000

Which equation represents the following graph?

y = 3x + 2

y = -2x + 3

y = 2x + 3

y = -3x + 2

10.

What is the y-intercept in the equation?

y = 5x - 4

(0,5)

(0,-4)

(-4,0)

(5,0)

11.

Find the slope

-5/3

-3/5

5/3

3/5

12.

What is the y-intercept for the given graph?

(0,-5)

(0,5)

(0,1)

(0,-1)

13.

Find the slope of the line.

1/2

-1/2

-2

14.

Find the value of y when x = 2.

15.

Function

Not a Function

16.

Which panda is growing faster?

Mochi

Kappa

Po the dragon warrior

Jack Black

17.

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

y= -1x+3

y= 4x+3

y=1/4x+3

y= -4x+3

18.

What is the equation of this line?

y = 2x +2

y = 2x -2

y = -x + 2

Cannot be Determined

19.

Find the slope.

3/2

-3/2

(-0,-3)

y= -3

20.

What is the rate of change for the following graph?

160

21.

Macy's has hired 400 store Santas. If each Santa sees 125 children a day for 30 days, how many children are seen by Macy's Santas?

50,000

3750

1,500,000

25,000

555

22.

Each batch of 48 cookies that Amy makes takes 20 minutes in the oven. If the oven is on for 3 hours and 55 minutes (15 minutes for preheating), how many cookies did Amy make?

288

528

576

480

23.

Brian wants a 7 and 1/2 foot Christmas tree. Which of these trees is a better buy?

All trees $42

$6 a foot

First 4 feet $8 then each additional foot $6

24.

Each large roll of ribbon has 20 yards. Each package takes 3 feet of ribbon. How many packages can be wrapped with 4 rolls of ribbon?

240

about 24

25.

Rudolph has twice as many reindeer treats as Blitzen. If the total number of reindeer treats is 45, how many treats does Rudolph have?

26.

Dasher has twice as many reindeer treats as Prancer and Comet has 3 more than Prancer. The total number of reindeer treats is 43. If x represents the number of treats Dasher has, what is an equation that represents this scenario?

(x) + (2x) + (3x) = 43

(x) + (x + 2) + (x + 3) = 43

(x) + (x + 2) + (3x) = 43

(x) + (2x) + (x + 3) = 43

27.

Santa's sleigh takes off from a 30 foot rooftop and increases its altitude at a rate of 20 feet per minute for the next 5 minutes. Write a function h(t) to represent the scenario.

h(t) = 100t - 30

h(t) = 100t + 30

h(t) = 20t - 30

h(t) = 20t + 30

28.

Santa's elves are wrapping presents. Betsy has already wrapped 40 presents and is wrapping at a rate of 2 presents per minute. Howie has already wrapped 10 presents and is wrapping a rate of 3 presents per minute. Cindy has already wrapped 30 and is wrapping at a rate of 2.5 presents per minute. After 30 minutes, who has wrapped the most presents so far?

Betsy

Howie

Cindy

It is a draw. Each has wrapped the same amount of presents.

29.

Beth is making gingerbread men. She uses 2 raisins for eyes and 3 raisins for buttons for each gingerbread man. She buys 4 boxes of raisins, each with 120 raisins in it. How many dozens of gingerbread men can she make?

96 dozen

24 dozen

8 dozen

12 dozen

30.

Mr. Green is putting Christmas lights around 8 windows; each window is 3 and 1/2 feet wide and 5 feet long. How many feet of lights does he need?

68 feet

17 feet

136 feet

140 feet

31.

What type of slope?

negative

positive

zero slope

downward slope

32.

What type of slope?

undefined

positive slope

negative slope

zero slope

33.

Write the equation of the line.

y = -2/3x + 4

y = 2/3x + 4

y = 3/2x + 4

y = -3/2x + 4

34.

Write equation of the line containing (6,3) and (4,1)
_{(hint: plot points on a graph)}

y = -1x + 5

y = 1x - 3

y = 1x + 5

y = -1x + 3

35.

Write equation of the line containing (4,2) and (3,5)
_{(hint: plot points on a graph)}

y = -3x + 14

y = 3x + - 4

y = -3x - 4

y = -3x + 10

36.

Write the equation of the line that passes through the point (1, -1) and has a slope of -4.
_{(hint: plot point on a graph and use m to find b)}

y = -4x + 3

y = -4x - 3

y = -4x + 5

y = -4x - 5

37.

Write the equation of the line that passes through the point (4, -2) and has a slope of -1/2.
_{(hint: plot point on a graph and use m to find b)}

y = -1/2x + 3

y = -1/2x

y = -1/2x + 4

y = -1/2x - 4

38.

Write the equation of the line that passes through the point (-5, 5) and has a slope of -8/5.
_{(hint: plot point on a graph and use m to find b)}

y = -8/5 x - 3

y = -8/5x + 3

y = -8/5x +13

y = -8/5x - 13

39.

A helicopter hovers 40 ft above the ground. Then the helicopter climbs at a rate of 21 ft/s. Write a rule that represents the helicopter’s height h above the ground as a function of time t.

h = 40t + 21

h = 21t + 40

h = -40t + 21

h = -21t + 40

40.

A team of divers assembles at an elevation of -10 ft relative to the surface of the water. Then the team dives at a rate of -50 ft per min. Write a rule that represents the team’s depth d as a function of time t.

d = -50t

d = -10t - 50

d = -50t - 10

d = -10t

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Linear Functions Review

Total questions: 40

Worksheet time: 1hrs 21mins

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