Pre-Algebra

Exponents

100

Write in exponential form: 5*5*5*5*5

5⁵

200

Write in expanded and simplified form: 3³​​​​

(3)(3)(3) = 27

300

What is 4¹ and 4⁰?

4¹ = 4; 4⁰ = 1

400

Write in expanded and simplified form: (-2)⁴ and -(2)⁴

(-2)⁴ = (-2)(-2)(-2)(-2) = 16

-(2)⁴ = -(2)(2)(2)(2) = -16

500

Write in exponential form: -(5)(5)(5)

-(5)³

Square Roots

100

What is the square root of 81?

9 and -9

200

What is the square root of -25?

no solution!

300

What is the square root of (62+2)?

8 and -8

400

Estimate the value of the square root of 38 by naming the two numbers that the square root is between and which one it closer to.

6 and 7; closer to 6 = 6.16

500

What is the square root of 17 to the second power?

17

Order of Operations

100

2-4-3*2

-8

200

(3+2)²-6

19

300

-(4)² + 4 - 8/2

-16

400

3+2(-2-4)+(4-1)² - 8⁰

-1

500

18-4*3+3²

15

Signed Numbers

100

-3 + 4 - 7

-6

200

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

18

300

(4)(-3)(-2)

24

400

(-14)/(-7)

2

500

-(3-6)+4-(-3)+(-2)+5(-2)

-2

Distributive Property

100

5(3+4x)

15+20x

200

-(9+3z)

-9-3z

300

-3(4x-6)

-12x+18

400

2(x+4)+6(2x-7)

2x+8+12x-42 = 14x-34

500

3x(2+4x)-(x+8)

6x+12x¹²-x-8 = 12x²+5x-8