7th Grade Math Review

Integers

100

742-375=?

367

200

Rewrite the problem and then solve 

200-348=?

200+(-348)=-148

300

-83-(-59)=?

-24

400

-49+102=?

53

500

−10(1+ 4) − 5

-55

Distributing and factoring

100

7(x+5)

7x+35

200

-9x(2x-3)

-18x²+27x

300

-36y+-9x

-9(4y+x)

400

15yx² - 90x

15x(xy-6)

500

3X²z +15x³z²

3x²z(1+5x²z)

Ratios

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

What is the unit rate of the ratio 6:42 (6/42)?

1:7 or 1/7

300

Blake is able to get 27 miles on 1 tank of gas. How many miles can Blake 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

You paid $28.00 for 8 gallons of gasoline. How much would you pay for 15 gallons of gasoline?

You would pay $52.50

Equations

100

Solve for n. 2n+6=46

n=20

200

Solve for n. 83=-3n-25

n=-36

300

Solve for n. 5n+35=60

n=5

400

Solve for n. (n/3)-17=4

n=63

500

3.3h − 3 = 15 −1.2h

h=0.25

Circles

100

The radius of a circle is 28cm. What is the circle's diameter?

56cm

200

The radius of a circle is 12in. What is the area of the circle?

144pi in.

300

The radius of a circle is 16cm. What is the circle's circumference?

32pi cm

400

The diameter of a circle is 14ft. What is the circle's area?

49pi ft

500

The circumference of the circle at the center of a basketball court is 37.68 feet. Find the area of the circle at center court. Use 3.14 for pi.

The area of the circle is 113.04