Simplify Expressions

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3 + 2(-2x + 2)

-4x + 7

13 + 7x - 15 - 16x

-9x - 2

3(2x + 5) + 8

6x + 23

12x - 5x - 17 + 22

7x + 5

12x - 5x + 17 - 22

7x - 5

Coefficient

The number in front of the variable

-9x - 7 + 5 + 4x

+5x - 2

2(2x + 1) + 3x

7x + 2

7 + x + 3x - 9 + 5x + 4

9x + 2

-(x + 7) + 5(2x + 1)

9x - 2

10 + 8(x - 1) - 11x

-3x + 2

15 - 2(6x + 3) + 9x

-3x + 9

-8x - 2(-2x + 1) - 5

-4x - 7

-14x + 3(3x + 2)

-5x + 6

5(-x + 1) + 2

-5x + 7

3x - 7 + 9x

12x - 7

5x + 7 + 9x

14x + 7

6(4x + 8)

24x + 48

x + 5 + x - 2

2x + 3

3(x + 1) - 3

3x

4x - 8 + 10 - x

3x + 2

9 - x - 11x + 3 - 10 + 15x

3x + 2

-14 - 4x + 19 + 7x

3x + 5

7 - 8x - 2 + 11x

3x + 5

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

3x - 2

9(x + 1) - 2(7 + 3x)

3x - 5

2(4x + 7) - 4x

4x + 14

1 - 2(-2x - 3)

4x + 7

2x - 1 + 2(x - 3)

4x - 7

2x + 9 + 8 + 3x

5x + 17

-5 + 7(2x + 1) - 9x

5x + 2

9 - 6 + 7x - 2x + 3

5x + 6

2(x+ 3) + 3(x + 1) - 2

5x +7

12 - 18x + 23x - 19

5x - 7

-7 - 12x + 19x + 11

7x + 4

Variable

A letter or symbol that stands for an unknown number

Constant

A number that never changes (the numbers that are not attached to the variable)

Algebraic Expression

Contains variables, operations and numbers and does not have an equal sign (directions will usually ask you to simplify)

Distributive Property

Multiplying a factor across multiple terms.

Terms

Part(s) of an algebraic expression of equation that are separated by + or - (always include the sign in front of the term)

Like Terms

The terms that have the same variables (constants are also like terms)

Simplify

To put an expression in its simplest form by combining like terms. The expression does not have parentheses or like terms.


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