- The Associative Property of Addition - inserting and removing parenthesis
- Commuting Terms
- Adding and Subracting Terms From Both Sides of an Equation
- Combining Like Terms
- Splitting Terms

- Commuting Factors
- Multiplying and Dividing Both Sides of an Equation by a Factor
- Applying the Distributive Property
- Factoring From a Grouping
- Factoring − 1 From a Grouping

- Expanding Exponents
- Combining Factors with Like Bases

- Adding and Subtracting Numbers
- Multiplying Numbers
- Dividing Numbers
- Prime Factorizing Numbers
- Evaluating Exponents
- Simplifying Fractions

- Adding and Subtracting Quotients With Common Denominators
- Finding Common Denominators
- Adding Terms to Quotients
- Multiplying Quotients
- Dividing Quotients (Invert and Multiply)
- Splitting Quotients

- Order of Operations
- Solving Linear Equations
- Solving Equations Requiring Factoring

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a

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a

b

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a

b

c

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7

x

-3

x

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2

x

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5

x

3

r

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7

y

x

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a

x

y

z

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a

x

a

y

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3

x

-1

y

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x

a

b

c

x

2

y

-3

x

4

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y

x

3

x

5

p

2

p

7

a

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7

9

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5

3

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20

5

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294

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4

3

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56

32

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x

y

a

-1

b

-1

3

a

-1

b

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3

r

x

z

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p

7

z

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7

a

x

z

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a

b

x

y

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x

y

a

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11

4

-1

7

2

9

15

6

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2

x

-6

12

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4

x

5

a

x

7