Unit 6-Algebraic Expressions & Factoring

Vocabulary

100

 the parts being added together or subtracted.

 Example: 4x + 3x + 3y + 7y

What is a term?

200

Terms that contain the same variable(s) raised to the same exponent. These terms can be combined. 

What are like terms?

300

A number in front of the variable

Example: 5x 

What is a coefficient?

400

A number all alone in an algebraic expression

Ex: 3x +  5

What is a constant?

500

 a letter of the alphabet, used to represent a quantity that can change.

What is a variable?

Combining Like Terms

100

4a + 2a + a + 9

What is 7a + 9

200

5x + 5 + 3x + 2

What is 8x + 7

300

2 + 2t + 6t + 8

What is 8t + 10

400

6p + 30 + 2 + 4p

What is 10p + 32

500

m + 2n + 5m + 6n

What is 6m + 8n

Distributive Property

100

Solve:  2 (b + 10)  

 2b + 20

200

Solve:  6 (c -5)

6c + 30

300

Solve: 4 ( z - 4)

What is 4z - 16

400

Use the GCF to FACTOR: 4d + 40

4 (d + 10 )

500

-15j - 18k - 24j - 18k

What is -39j - 36k

POTLUCK

100

Numbers that only have one and itself as factors

prime number

200

The only even prime number

2

300

According to the Order of Operations, always solve parenthesis first?

TRUE!

400

Money has ____ places after the decimal

2

500

To double something is to 

multiply by 2

Like Terms OR UNLIKE Terms

100

Like  or UNLike 7x + 7

UNLike Terms

200

Like  or  UNLike  3x - 4x + x

Like Terms

300

Like or UNLike  3x + 2y + 2xy

UNLike Terms

400

Like or UNLike  3ab + 2ab 

Like Terms

500

Like or UNLike   10x² + 4x³

UNLike Terms

The exponent is different!