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Combine
Distribute Twice
Factoring/Distributing Expressions
Vocabulary
Greatest Common Factor
100

3x + 5 - 6x

-3x + 5

100

5(x + 7) + 3(x + 4)

8x + 47

100

Write an equivalent expression in factored form for 5x + 35.

5 (x + 7)

100

A single number or variable, or numbers and variables multiplied together is called what?

Term

100
5 and 35
5
200

5 + 5x - 5

5x 

200

1(1 - x) - 1(1 - x)

0

200

A number placed before a variable in an expression is called what?

Coefficient

200

A group of two or more terms that are added or subtracted is called what?

Expression

200
16 and 80
8
300

4x - 4 + 17

4x + 13

300

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

5x - 27

300
Write an equivalent expression in factored form for 21a + 28y.
7 (3a + 4y)
300

Combining parts that can be combined (e.g. “like terms”) with addition or subtraction is called what?

Simplifying

300
4 and 100
4
400

7 - 8 - 3x

-3x - 1

400

5(x + 4) - 2(x + 4)

3x + 12

400
Use the distributive property to put the expression 4(5 + 7) back to standard form.
20 + 28
400

Dividing each term in an expression by the same factor (usually the GCF) and rewriting the expression with the factor in front of parentheses is called what?

Factoring

400
20 and 50
10
500

25 - 8x + 12

-8x + 37

500

-3(9 + 5x) - 2(-6x - 10)

-3x - 7

500
Write an equivalent expression using distribution for the expression 5 (7h + 3m).
35h + 15m
500

What is it called when we multiply the factor to all terms in parentheses?

Distributing

500
13 and 91
13