7th Grade Math Review

Integers

100

Represent the following situation with an integer: a gain of 4 yards

4

200

Represent the following situation with an integer: a withdrawal of $148

-148

300

Write a number sentence and solve it: I lost 2 points. Then I earned 8 points. 

-2 + 8 = 6

400

-8.2 + 3.7 = ?

-4.5

500

−3 + 1 + 9 − 5

2

Percent

100

What is 50% of 60?

30

200

Tamillah got a 21/28 on her test. What is her percent score?

75%

300

What is 35% of 200?

70

400

A restaurant bill comes to $34.60. You decide to leave an 15% tip. What is the total cost of the bill?

$39.79

500

Arman bought a hat in California. The hat cost $15 before the 8% sales tax was applied. How much did Arman pay for the hat after taxes were added?

Arman paid $16.20

Rates

100

Skyzone sells tickets for their jump area. You buy a ticket for 4 hours and it costs $24. How much are you paying per hour to jump?

$6

200

I bought 12 bananas for $3.96. What is the unit price? 

$0.33 per banana

300

Pedro is able to get 27 miles on 1 tank of gas. How many miles can Pedro travel on 6 tanks of gas?

162 miles

400

A toy company can produce 9 toys in 3 hours. How many toys can they produce in 24 hours?

72 toys

500

8 counselors for 44 campers

20 counselors for 110 campers

Are those ratios proportional?

Yes! 

8/44 = 0.1818 (repeating) 

20/110 = 0.1818 (repeating)

8(110) = 20(44)
    880 = 880

Equations

100

Solve for n: n + 3 = -8

n= -11

200

Solve for k: 10 = k - 8

k=18

300

Solve for e. 15e=112.5

e=7.5

400

Solve for a. (a/3)=16

a=48

500

Solve for j. -8j = 64

j = -8

Algebraic Expressions

100

Simplify: 3x + 5x

8x

200

Simplify: 2x + 8y + 5y

2x + 13y

300

Simplify: 5x + 3y + 4x + y

9x + 4y

400

Simplify: -4 + 9x + (-12x) + 4

-3x

500

Simplify: -10(x + 3) - 4x

-14x - 30