Rates
Unit Rates
Equations
Distributive Property
Better Buy
100

Miss Lieberth ran 4 miles in 34 minutes. At this rate, how long would it take her to run 8 miles?

68 minutes

100

John runs 15 miles in 3 hours. How many miles can John run per hour?

5 miles per hours

100

Solve: 

x - 10 = 3

x = 13
100

Distribute:

5(d + 1)

5d + 5

100

Store A is selling 10 pens for $5. Store B is selling 5 pens for $2. Which is the better buy?

Store B

200

Mandy took a total of 6 quizzes over the course of 3 weeks.

At this rate, after attending 5 weeks of school this quarter, how many quizzes will Mandy have taken?

10 quizzes.

200

Michael cleans 90 cars in 5 days. How many cars does Michael clean per day?

18 cars per day

200

Solve:

y + 7 = 40

y = 33

200

Distribute:

4(2x + 8)

8x + 32

200


Store A is selling cookies 10 for $6.50 and Store B is selling the same cookies 6 for $3.60. What is the better buy?

6 cookies for $3.60

300
If Steve can train 48 dogs in 6 hours, how many can he train in 10 hours?

80 dogs in 10 hours

300

Jodi’s car used 12 gallons of gas to travel 456 miles. How many miles did her car travel per gallon of gas?

38 miles per gallon

300

Solve:

2 + n = 17

n = 15

300
Rewrite the following expression with parentheses:

6x + 20

2(3x + 10)

300

A 6 ounce bottle of juice costs $0.96 and an 8 ounce bottle costs $1.12. What is the better buy?

8 ounce bottle

400

If 4 pairs of shoes cost $80, how much would 7 pairs of shoes cost?

$140

400

Felicity baby sat 2 hours each night for 10 nights. She earned a total of $180 babysitting. How much did Felicity earn per hour babysitting?

$9 per hour

400

Solve: 

4x + 2 when x=6

26

400

Rewrite the following expression without parentheses:

12x + 9

3(4x + 3)

400

A large box of cereal has 26.8 ounces and costs $5.79. A small box of the same cereal has 19 ounces and costs $4.19. What is the better buy?

26.8 ounces is the better buy.

500

Jacob took a total of 12 quizzes over the course of 3 weeks.

How many weeks of school will Jacob have to attend this quarter before he will have taken a total of 16 quizzes?

4 weeks

500

Sue’s car used 12 gallons of gas on a 300 mile trip. Jen’s car used 5 gallons of gas on a 140 mile trip.
Whose car got more miles per gallon?

Sue's car- 25 mpg

Jen's car - 28 mpg 

Jen's car got more miles per gallon.

500

Solve: 6y - 3 when y = 2

9

500

Distribute and simplify:

7(2x + 3) + 2(5x +8)

14x + 21 + 10x + 16

24x + 37

500

Leslie can buy 8-pound bag of dog food for $7.40 or a 4-pound bag of the same dog food for $5.38. Which is the better buy?

8 pound bag

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