8th Grade Math Review - 1st Semester

Rational vs. Irrational

100

Which of the following numbers is irrational? 

A. 2.5656...

B. 2.45678...

C. 1/3 

D. -8

B. 2.45678...

200

Between which two integers will √10 fall?

3 and 4

300

Which is greater? √4 or 2.5

2.5

400

Between which two integers would √5 fall?

2 and 3

500

List in order from least to greatest of the following numbers 

3.1, pi, √4, 2.5

√4, 2.5, 3.1, 3.14

Exponents

100

Evaluate 3³

27

200

What is x² * x⁴

x⁶

300

Simplify x⁸ / x³

x⁵

400

What is (x³)⁵

x¹⁵

500

What is (-3)³

-27

Distributive Property

100

Simplify: -6(a + 8)

-6a - 48

200

Simplify: -4(-8x - 8)

32x + 32

300

Simplify: -7(5k - 4)

-35k + 28

400

Simplify: -1/2(-6 - 4x)

3+2x

500

Simplify: (1 + 9x)(-10)

-10 - 90x

Combine Like Terms

100

Simplify: 12r - 8 - 12

12r - 20

200

Simplify: n + 4 - 9 - 5n

-4n - 5

300

Simplify: -3x - 9 + 15x

12x - 9

400

Simplify: 2(2n-5)-3+4n

8n-13

500

Simplify: -7(n + 3) - 8(1 + 8n)

-71n - 29

Solving Equations

100

Solve for x: 

2x - 6 = 14

x = 10

200

Solve for x: 

2x + 3x - 5 = 15

x = 4

300

Solve for x:

2(x - 4) = 10

x = 9

400

Solve for x:

2x + 5 = x - 7

x = -12

500

Solve for:

1/2(3x + 3/4) = 3/4

x = 1/4