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## Definition:

**Factoring** and **expanding** linear expressions are two ways to simplify algebraic expressions. Factoring can be done with the concept of greatest common factor while expanding can be done with the application of distributive property.

## Summary:

Recall: A linear expression is an algebraic expression that contains variable with a maximum power of 1. A linear expression forms a straight line when graphed in a cartesian plane.

**Greatest Common Factor (GCF)**

GCF is the highest factor that is common in two or more numbers.

**Distributive Property**

Distributive property allows us to remove the parentheses of the given algebraic equation to transform it to its simplified form.

## Examples:

**Greatest Common Factor**

18x+24

Factors of 18: 1, 2, 3, 6, 9, 18

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24**Common factors:** 1, 2, 3, 6**Greatest Common Factor:** 6

**Distributive Property**

2 (x + 4 ) = 2x + 8

## Factoring and Expanding Linear Expressions with Rational Coefficients Worksheets

This is a fantastic bundle which includes everything you need to know about Factoring and Expanding Linear Expressions with Rational Coefficients across 15+ in-depth pages. These are ready-to-use Common core aligned Grade 7 Math worksheets.

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