Free Printable Proportional Relationships Algebra (non-calculator)

1.

Which option has the lesser cost per student ticket?

a)

6-Pack of Student Tickets

b)

Individual Student Ticket

c)

Both have the same unit rate

d)

Cannot be determined from the given information

2.

Skylar and Rodrigo each recorded how far they traveled while skateboarding. Skylar traveled 65 feet in 5 seconds and Rodrigo traveled 108 feet in 8 seconds. How much farther did Rodrigo travel per second than Skylar?

a)

0.5 ft

b)

1 ft

c)

2 ft

d)

2.5 ft

3.

Naomi can run 12 miles in 108 minutes. She is thinking about running in two different races, a 9-mile race and a 13-mile race. At her current rate, how many more minutes will it take her to complete the 13-mile race than the 9-mile race?

a)

30 minutes

b)

36 minutes

c)

45 minutes

d)

25 minutes

4.

Leroy wants to buy a new racing bicycle that costs $168. To earn money, he can either do yardwork for his grandmother or babysit his brother and sister. He earns$ 24 for 3 hours of yardwork and he earns $48 for 4 hours of babysitting. How much longer will it take him to earn the money if he only does yardwork for his grandmother?

a)

21 hours

b)

12 hours

c)

28 hours

d)

7 hours

5.

For Carolina's birthday, her mother took her and four friends to a waterpark. Carolina's mother can pay either $130 for a 5-pack of student tickets or$ 28 for each individual ticket. Which ticket payment option has the lesser unit price?

a)

5 pack

b)

Individual

c)

They are equal

6.

Which of the following offers the least price per ounce of shampoo?

a)

$6 for 8 ounces of shampoo

b)

$4 for 5 ounces of shampoo

c)

$8 for 12 ounces of shampoo

d)

$12 for 16 ounces of shampoo

7.

Which of the following rates are unit rates? Select all that apply.

a)

65 miles per hour

b)

2 degrees every half hour

c)

3.2 inches of rain in 2 days

d)

3 questions for each lesson

e)

24 students for every 2 teachers

8.

How many bags of soil does he need for 5 plants?

4 lines

9.

Angela can cut 5 patches in 10 minutes to make a quilt. How many minutes will it take Angela to cut 36 patches?

(a)

10.

The number of words Matt and Jason type is proportional to the time they spend typing. The table shows their times for different numbers of words. Matt's Typing Number of Words | Time (Minutes) 300 | 10 390 | 13 510 | 17 Jason's Typing Number of Words | Time (Minutes) 360 | 9 560 | 14 800 | 20 Which statement is correct?

a)

Matt types faster than Jason because 300/390 > 360/560.

b)

Matt types faster than Jason because 300/10 > 360/9.

c)

Jason types faster than Matt because 300/390 < 360/560.

d)

Jason types faster than Matt because 300/10 < 360/9

11.

A website sells bags of chips in two different variety packages. The table shows information about the two packages. Number of Bags | Weight per Bag (oz) | Cost per Package Package 1: 30 | 1.5 | $28.35 Package 2: ? | 0.8 | $11.52 Package 2 costs $0.03 less per ounce than Package 1 does. How many bags of chips are in Package 2?

a)

48

b)

36

c)

24

d)

60

12.

A store sells two different packs of chocolate milk. Each pack uses bottles with chocolate milk measured in ounces (oz). Information about the two packs is shown. | | Number of Bottles | Volume per Bottle (oz) | Cost of Pack | |---------|-------------------|------------------------|--------------| | Pack 1 | 12 | 8 | $11.04 | | Pack 2 | 6 | 6.75 | ? | Pack 2 costs $0.045 more per ounce than Pack 1. What is the cost, in dollars, of Pack 2?

a)

$7.61

b)

$8.25

c)

$6.90

d)

$7.00

13.

What fraction describes the ratio of the number of cats to the total number of pets?

a)

8/32 or 1/4

b)

8/24 or 1/3

c)

8/16 or 1/2

d)

8/8 or 1

14.

Abigail can wash 4 cars in 1 hour. Sammy washes cars at a rate of 1.5 times the rate Abigail washes cars. How many hours will it take Abigail and Sammy to wash 25 cars together?

a)

2.5 hours

b)

3 hours

c)

4 hours

d)

1.5 hours

15.

The cost of 2 bags of chocolate chips is $6.00. What is the cost of 7 bags of chocolate chips?

a)

$21.00

b)

$18.00

c)

$24.00

d)

$12.00

16.

The manager of a garden store decides to hold a Buy 3, Get 1 Free sale on vegetable plants. The sale is held for one week and a total of 636 vegetable plants were sold (not including the ones given away for free). If each plant cost the store $2.90, how much money did the store lose by giving away the free plants?

a)

$614.40

b)

$462.00

c)

$423.50

d)

$580.00

17.

Swanton Middle School has 800 students. In Mia's class, 5 out of 8 students ride the bus to school. Based on these results, how many students at the school are expected to ride the bus?

a)

500

b)

400

c)

600

d)

700

18.

Which pizza parlor advertises the greatest ratio of pieces of pepperoni to slices of pizza?

a)

Pizza Place

b)

Pam’s Pizza

c)

Pizza Plaza

19.

Suppose there are 200 students at the school. How many sixth-grade students are taking choir?

a)

30

b)

20

c)

50

d)

10

20.

An item is regularly priced at $85. It is on sale for 20% off the regular price. How much (in dollars) is discounted from the regular price?

a)

$17

b)

$20

c)

$15

d)

$12

21.

A clothing store purchases a sweatshirt for $26 and adds$ 15 to set the sticker price. The store is having a sale where everything is on sale for 20% off. Which of the following is the most reasonable estimate for the final price of a sweatshirt?

a)

$8.00

b)

$28.00

c)

$32.00

d)

$40.00

22.

How many more students prefer science than math?

(a)

23.

What fraction of the students chose blue or red as their favorite?

a)

2/3

b)

3/4

c)

4/11

d)

1/2

24.

How many more students went to soccer camp than football camp?

a)

14

b)

8

c)

20

d)

5

25.

If they sold a total of 450 baseballs and tennis balls, how many total items did the store sell in one week?

a)

150

b)

2,500

c)

1,500

d)

3,250

26.

If each item is sold for $10.95, how much did the store have in sales?

a)

$16,425

b)

$16,500

c)

$17,425

d)

$20,000

27.

There are 125 sixth-grade students at a school. How many sixth-grade students at the school are 11 years old?

a)

20

b)

25

c)

45

d)

100

28.

Alexa knows that 1 out of every 12 students wins in her school raffle. Complete the table using the ratio.

a)

1 | 12 2 | 24 11 | 132

b)

1 | 10 2 | 20 11 | 110

c)

1 | 14 2 | 28 11 | 154

d)

1 | 15 2 | 30 11 | 165

29.

Which expression is equivalent to (1/5)(10x + 25) + 5x?

a)

12x

b)

7x + 5

c)

7x + 25

d)

15x + 5

30.

Which expression is equivalent to 5(4x + 5) + x?

a)

5x + 25

b)

21x + 5

c)

10x + 10

d)

21x + 25

31.

An expression is shown. 4x - 2x - 3 What is the value of the expression when x = 3?

a)

3

b)

7

c)

17

d)

53

32.

A company charges an initial fee of $5.00 plus$ 7.50 per hour to rent a bicycle. Which expression represents the cost to rent a bicycle for h hours?

a)

7.50 + 5.00h

b)

7.50h + 5.00

c)

7.50h + 5.00h

d)

7.50 + 5.00 + h

33.

Select all of the expressions that are equivalent to 12x + 9?

a)

21x

b)

9 + 12x

c)

9x + 12

d)

3(4x + 3)

e)

4(8x + 5)

34.

Which expression is equivalent to 6(1/2k + 9j)?

a)

3k + 9j

b)

3k + 54j

c)

1/2k + 54j

d)

6 1/2k + 15j

35.

Select all of the expressions that are equivalent to 8(9 - 7y)?

a)

17 - 15y

b)

72 - 56y

c)

(8 • 9) - (8 • 7y)

d)

(8 + 9) - (8 + 7y)

e)

4(9 - 7y) + 4(9 - 7y)

36.

A cell phone company charges a one-time $25 fee for setting up an account and a monthly fee for service.

a)

40x + 25y

b)

(40 + 25)x

c)

40 + 25x

d)

40x + 25

37.

What is the solution to the equation x + 12 = 32?

a)

20

b)

10

c)

22

d)

30

38.

Which expression is equivalent to (14v + 3) + (7v + 8)?

a)

7v + 5

b)

17v + 15v

c)

(10v + 2) + (11v + 9)

d)

(12v + 5) + (5v + 10)

39.

Which expression is equivalent to 4(3z + 10) + 6z + 2z?

a)

30z

b)

60z

c)

20z + 10

d)

20z + 40

40.

Angela builds a shed. She spends $196.98 on the construction tools and materials shown. •$ 12 on screws • $130.99 on planks of plywood • 4 buckets of paint that cost$ 8 each • a package of shingles for x dollars Create an equation that could be used to solve for the cost, x, in dollars, of the package of shingles.

a)

196.98 = 12 + 130.99 + (4 × 8) + x

b)

196.98 = 12 + 130.99 + (8 × 4) - x

c)

196.98 = 12 + 130.99 + 4 + 8 + x

d)

196.98 = 12 + 130.99 + 8 + x

41.

Nina has $26.50 to spend on lunch. She spends y dollars on a sandwich and has$ 20.25 left. Create an equation that could be used to find the amount of money in dollars, y, that Nina spends on the sandwich.

a)

26.50 - y = 20.25

b)

26.50 + y = 20.25

c)

y - 26.50 = 20.25

d)

y + 20.25 = 26.50

42.

Mary wants to spend less than $24 buying screwdrivers and screws at the hardware store. She buys n screwdrivers for$ 3 each and one kit of assorted screws for $6. An inequality modeling how many screwdrivers Mary can buy is shown.

a)

4

b)

5

c)

6

d)

7

43.

A drama club sells adult and student tickets to a play. - Altogether, the club sells 25 tickets. - They make $182 by selling 13 adult tickets. - The club sells y student tickets. - They make$ 6 for each student ticket they sell. How much money does the drama club make from selling tickets?

a)

$254

b)

$200

c)

$300

d)

$230

44.

Create an equation that can be used to find y, the cost of the wall patch.

4 lines

45.

Mira spends $21 on boxes of tissues at the store. She buys t boxes of tissues and each box costs$ 3.50. How many boxes of tissues, t, does Mira buy?

a)

t = 6

b)

t = 5

c)

t = 7

d)

t = 8

Proportional Relationships Algebra (non-calculator)

Total questions: 45

Worksheet time: 28mins

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