Pre-Algebra C. 3 Review

Variables and Expressions

100

A number increased by 9

x+9

200

The product of a number and 2

2x

300

Six less than the product of 3 and a number

3x-6

400

Evaluate:

30-3r; if r=6

30-3*6

30-18

12

500

Evaluate:

7x+4; if x=(-2)

7(-2)+4

-14+4

-10

Algebraic Properties

100

1+0=1

Identity Property of Addition

200

2+3=3+2

Commutative Property

300

2+(3+4)=(2+3)+4

Associative Property

400

7(x-y)=7x-7y

Distributive Property

500

Expand the expression using the Distributive Property.

-5(2a+7b-6)

-10a-35b+30

Factoring

100

What is the GCF of 6 and 15?

3

200

What is the GCF of 16 and 32?

16

300

Factor:

5n+30

5(n+6)

400

Factor:

-4x+36

-4(x-9)

500

Factor:

-12a-32

-4(3a+8)

Combining Like Terms

100

Identify the like terms.

2x+3y+5x-9y

2x and 5x

3y and -9y

200

Add the like terms.

2x+(-9x)

-7x

300

Combine the like terms.

-4m-8m+2m

-10m

400

Combine the like terms.

9a-7b+8-12a-8b+4

-3a-15b+12

500

Write the expression in simplified form and then evaluate for a=4.

8a-12-12a+4

-4a-8

-24

Exponent Properties

100

Write as a simplified power.

3⁴*3⁹

3¹³

200

Write as a simplified power.

10*10*10⁷

10⁹

300

Write as a simplified power.

21⁴/21²

21²

400

Write as a simplified power.

(c²)⁷

c¹⁴

500

Write as a simplified power.

(2y⁴)⁵(3y²)⁴

2592y²⁸

Scientific Notation

100

Multiply by the power of 10.

4.52*1,000,000

4,520,000

200

Divide by the power of 10.

2.8919/10⁴

0.00028919

300

Write the large number in Scientific Notation.

234,492,000,000

2.34492*10¹¹

400

Write in standard form.

2.178*10⁶

2,178,000

500

Find the approximate distance from the sun to Saturn given the multiplication problem below. Write the answer in Scientific Notation.

9.6*(1.496*10⁸)

1.43616*10⁹