Quiz about Proportional Relationships Algebra (non-calculator)

Question 1

Which option has the lesser cost per student ticket?

Accepted Answer

6-Pack of Student Tickets

Answer

Individual Student Ticket

Answer

Both have the same unit rate

Answer

Cannot be determined from the given information

Question 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?

Accepted Answer

1 ft

Answer

0.5 ft

Answer

2 ft

Answer

2.5 ft

Question 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?

Accepted Answer

30 minutes

Answer

36 minutes

Answer

45 minutes

Answer

25 minutes

Question 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?

Accepted Answer

21 hours

Answer

12 hours

Answer

28 hours

Answer

7 hours

Question 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?

Accepted Answer

5 pack

Answer

Individual

Answer

They are equal

Question 6

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

Accepted Answer

$12 for 16 ounces of shampoo

Answer

$6 for 8 ounces of shampoo

Answer

$4 for 5 ounces of shampoo

Answer

$8 for 12 ounces of shampoo

Question 7

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

Accepted Answer

65 miles per hour

Answer

2 degrees every half hour

Answer

3.2 inches of rain in 2 days

Answer

3 questions for each lesson

Answer

24 students for every 2 teachers

Question 8

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?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 9

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?

Accepted Answer

48

Answer

36

Answer

24

Answer

60

Question 10

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?

Accepted Answer

$7.61

Answer

$8.25

Answer

$6.90

Answer

$7.00

Question 11

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

Accepted Answer

8/32 or 1/4

Answer

8/24 or 1/3

Answer

8/16 or 1/2

Answer

8/8 or 1

Question 12

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?

Accepted Answer

2.5 hours

Answer

3 hours

Answer

4 hours

Answer

1.5 hours

Question 13

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

Accepted Answer

$21.00

Answer

$18.00

Answer

$24.00

Answer

$12.00

Question 14

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?

Accepted Answer

$614.40

Answer

$462.00

Answer

$423.50

Answer

$580.00

Question 15

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?

Accepted Answer

500

Answer

400

Answer

600

Answer

700

Question 16

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

Accepted Answer

30

Answer

20

Answer

50

Answer

10

Question 17

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?

Accepted Answer

$17

Answer

$20

Answer

$15

Answer

$12

Question 18

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?

Accepted Answer

$28.00

Answer

$8.00

Answer

$32.00

Answer

$40.00

Question 19

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

Accepted Answer

1/2

Answer

2/3

Answer

3/4

Answer

4/11

Question 20

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

Accepted Answer

14

Answer

8

Answer

20

Answer

5

Question 21

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

Accepted Answer

2,500

Answer

150

Answer

1,500

Answer

3,250

Question 22

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

Accepted Answer

$16,500

Answer

$16,425

Answer

$17,425

Answer

$20,000

Question 23

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

Accepted Answer

25

Answer

20

Answer

45

Answer

100

Question 24

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

Accepted Answer

1 | 12 2 | 24 11 | 132

Answer

1 | 10 2 | 20 11 | 110

Answer

1 | 14 2 | 28 11 | 154

Answer

1 | 15 2 | 30 11 | 165

Question 25

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

Accepted Answer

7x + 5

Answer

12x

Answer

7x + 25

Answer

15x + 5

Question 26

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

Accepted Answer

21x + 25

Answer

5x + 25

Answer

21x + 5

Answer

10x + 10

Question 27

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

Accepted Answer

3

Answer

7

Answer

17

Answer

53

Question 28

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?

Accepted Answer

7.50h + 5.00

Answer

7.50 + 5.00h

Answer

7.50h + 5.00h

Answer

7.50 + 5.00 + h

Question 29

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

Accepted Answer

9 + 12x

Accepted Answer

3(4x + 3)

Answer

21x

Answer

9x + 12

Answer

4(8x + 5)

Question 30

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

Accepted Answer

3k + 54j

Answer

3k + 9j

Answer

1/2k + 54j

Answer

6 1/2k + 15j

Question 31

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

Accepted Answer

40 + 25x

Answer

40x + 25y

Answer

(40 + 25)x

Answer

40x + 25

Question 32

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

Accepted Answer

20

Answer

10

Answer

22

Answer

30

Question 33

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

Accepted Answer

17v + 15v

Answer

7v + 5

Answer

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

Answer

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

Question 34

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

Accepted Answer

20z + 10

Answer

30z

Answer

60z

Answer

20z + 40

Question 35

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.

Accepted Answer

26.50 - y = 20.25

Answer

26.50 + y = 20.25

Answer

y - 26.50 = 20.25

Answer

y + 20.25 = 26.50

Question 36

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.

Accepted Answer

5

Answer

4

Answer

6

Answer

7

Question 37

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?

Accepted Answer

$254

Answer

$200

Answer

$300

Answer

$230

Question 38

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?

Accepted Answer

t = 6

Answer

t = 5

Answer

t = 7

Answer

t = 8

Proportional Relationships Algebra (non-calculator)

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics