8th Grade Summer Math

Two Step Equations

100

2x - 1 = 15

x = 8

200

-5x + 11 = 41

x = -6

300

2x/3 = 16

x = 24

400

x/3 + 22 = 52

x = 90

500

-x/8 - 2 = 10

x = -96

Wait, it's all fractions?

100

Write 0.5 as a fraction in its simplest form

1/2

200

Write 33/9 as a mixed number in its simplest form

3 2/3

300

Write 87% as a fraction in its simplest form

87/100

400

(4/5) / (2/3)

12/10 or 1 1/5

500

(7/8) / (20/11)

77/160

Prime Factorization

100

Prime Factorization for 4

2²

200

Prime Factorization for 20

2² * 5

300

Prime Factorization for 99

3² * 11

400

The following prime factorization can be used for this number: 

2³ * 3 * 5²

What is 600?

500

Prime factorization of 1065

3 * 5 * 71

Solve for X

100

4/x = 20/25

x = 5

200

x/30 = 2/3

x = 20

300

x/10 = 20/25

x = 8

400

3x + 32, where x=14

What is 74?

500

4x² + 87, where x = 12 

What is 489?

Perfect Squares and their Roots

100

The positive square root of 16 is........

What is 4?

200

15 is the Square Root of this number

What is 225?

300

These two numbers are the square root of 400

What are 20 and -20?

400

The Square Root of 150 is in between these two integers

What are 12 and 13?

500

The Square Root of 390 is in between these two integers

What are 19 and 20?