Math 7 Review 1

Unit Rates

100

What is a Unit Rate? Give an Example.

A rate expressed for the quantity of one. Ex. Price per dollar, miles per hour, etc.

200

A train traveled 100 miles in 4 hours. What is its rate in miles per hour?

25 miles per hour

300

Ella works taking care of horses. She earns $137.25 for 15 hours. How much does she earn per hour?

Ella earns $9.15 per hour.

400

During the summer, Ayden made $78.75 by working 9 hours at the mall, while Jovanny worked 5 hours and made $46.25. Who makes more per hour? How much more?

Jovanny makes $0.50 more per hour. 

500

It costs $25.20 for a 36 mile taxi ride in NYC. What is the cost per mile of the taxi ride? How much would a 47 mile ride be?

$0.70 per mile. $32.90 for 47 miles.

Proportions

100

What are 3 characteristic of a proportion from a graph?

#1 Straight line. #2 Starts at (0,0). #3 Increases by the same amount 

200

Does this show a proportional relationship? What is the constant of proportionality?

x    8   10  12  14 

y   40  50  60  70

Yes, k=5

300

Ana runs 3/4 mile in 6 minutes. If she runs at a constant rate, what is her speed in miles per hour?

7.5 miles per hour

400

There are 135 calories in a 1/4 cup serving of trail mix. How many calories are in 2 cups of trail mix?

1080 calories

500

Ms. Loo and her sister are making spring rolls. Ms. Loo can make 8 spring rolls in 10 minutes. Her sister can make 10 in 12 minutes. If they each make 40 spring rolls, who will finish first?

Ms. Loo's sister will finish first. Ms. Loo can make 40 spring rolls in 50 minutes. Her sister can make 40 spring rolls in 48 minutes. 

Percents

100

What is the equation we use to solve percent problems?

part/whole = %/100

200

What is 35% of 60?

21

300

If Ciana scored 18/20 on a test, what is her score as a percent?

90%

400

25% of what number is 54?

216

500

Sahara went shopping and found a pair of shoes for 30% off. If the shoes are originally $60, how much will she pay at the register?

$42

Add/Sub Numbers

100

What is the rule for adding integers that are the same sign?

Add like normal, and keep the sign.

200

How do you change a subtraction problem to an addition problem?

Keep the first number, and then add the opposite of the second.

300

Write an equation based on the following scenario.

Manny borrowed $17 from Luis, and gave him $25 back. How much extra money did Manny give to Luis?

-17 + 25 = $8

400

Find the sum:

2/3 + 1/6 = 

5/6

500

Find the difference:

-1/2 - 3/8

-7/8

Multi/Div Numbers

100

What is a positive times a negative?

Negative

200

Find and describe the mistake:

-2 x -3 = 6

Negative times a negative is a positive number. -2 x -3 = 6

300

Find the product:

-1/5 x 4/2

-4/10 or -2/5

400

Find the product: 

4.3 x 0.5

2.15

500

Find the quotient: 

3/7 ÷ 1/2 

6/7