Distributive Property & Combining Like Terms

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What is the Distributive Property?

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The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

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CCSS.6.EE.A.3

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Combine like terms: 3a + 4a + 9

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7a + 9

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CCSS.7.EE.A.1

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Combine like terms: 3x + 5 + 2x - 7

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5x - 2

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CCSS.7.EE.A.1

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Use the Distributive Property and remove the parentheses: 2(3x + 4)

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6x + 8

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CCSS.6.EE.A.3

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Simplify by combining like terms: 5a + 2b - 3a + 4

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2a + 2b + 4

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CCSS.7.EE.A.1

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Factorize the following algebraic expression: 5 + 15x

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5(1 + 3x)

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CCSS.7.EE.A.1

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What are like terms?

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Like terms are terms that have the same variable raised to the same power. For example, 3a and 4a are like terms.

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CCSS.6.EE.A.2B

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What does it mean to combine like terms?

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Combining like terms means to add or subtract the coefficients of like terms to simplify an expression.

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CCSS.7.EE.A.1

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What is a coefficient?

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A coefficient is a numerical factor in a term of an algebraic expression. For example, in 4x, 4 is the coefficient.

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CCSS.6.EE.A.2B

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What is an algebraic expression?

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An algebraic expression is a combination of numbers, variables, and operations. For example, 3x + 5 is an algebraic expression.

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CCSS.6.EE.A.2B