8th Grade Review

Multi-Step Equations

100

10-2k-5k+28

-7k+38

200

-w + 8(3-4w)+19

-14w+24

300

8(p - 3) = 6(2p + 5)

-27/2 or -13.5

400

⁴⁄₃k + 15 = -31

k = -69/2 or -34.5

500

⁻¹⁄₄(20m - 8) = 4(n - 4)

m = 2

Exponent Rules

100

Simplify if possible 

2^-1

⅛

200

2^-7 * 12²

9/8

300

7m⁴n^-2 * 8m^-6n^-1

56/m²n³

400

(2w⁸)²

4w¹⁶

500

(2c^-1d²)⁵

32d¹⁰/c⁵

Scientific Notation

100

(7.5 x10⁷) (1.2 x10³)

9 x10¹⁰

200

Put into scientific notation 

27,500

2.75 x10⁴

300

Put into scientific notation 

0.0000000047

4.7 x10^-9

400

Put in standard form 

5 x 10⁷

50,000,000

500

0.4 x10⁶ + 2.5 x10⁷

2.9 x 10⁷

Ratios, Rates, and Proportions

100

⁹⁄₅ = ⁶³⁄ₓ

x = 35

200

Rylan worked $15 hours last week and earned $138. If he works 23 hours this week, how much will he earn? 

How would you set this up as a proportion?

¹⁵⁄₁₃₈ = ²³⁄ₓ

300

⁵⁰⁄₈₀₀ = ˣ⁄₁₀₂₅₆

x = 641

400

A model of a bridge is 3 inches = 80 feet. If the bridge is 213 feet tall, how tall is the model. 

8 inches

500

A 180 foot tall building cast a shadow of 72 feet tall. At the same time, a nearby tree cast a shadow that is 16 feet tall. How tall is the tree? 

40 ft. 

Mystery

100

What kind of property is:

(9r + 4s) * 0 = 0

Property of Zero 

200

Translate and solve: 

The sum of five-sixth of a number and 1 is -14 

-18

300

Solve

The quotient of a number and -3 is greater than -7 

n < -7 

400

|-18 - 6(2)| / (8-3)² - 1

(Will write on board) 

5/4

500

The square root of 225 - 4(5-3)³ + the cube root of 27

(Will write on board) 

-14