Simplifying Algebraic Expressions

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What is an algebraic expression?

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An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 5 is an algebraic expression.

Tags

CCSS.6.EE.A.2B

Front

What does it mean to simplify an algebraic expression?

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To simplify an algebraic expression means to combine like terms and reduce it to its simplest form.

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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, 3x and 5x are like terms.

Tags

CCSS.6.EE.A.2B

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Simplify the expression: -10x + 15 - 3x + 2

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-13x + 17

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CCSS.7.EE.A.1

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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 each term inside a parenthesis.

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CCSS.6.EE.A.3

Front

Use the distributive property to simplify: -3(2c - 5)

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-6c + 15

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CCSS.6.EE.A.3

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What is a coefficient in an algebraic expression?

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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.

Tags

CCSS.6.EE.A.2B

Front

Combine like terms: 5x + 4x + 3y + 3y + y

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9x + 7y

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CCSS.7.EE.A.1

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What is a variable in algebra?

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A variable is a symbol, often a letter, that represents an unknown value in an expression or equation.

Tags

CCSS.6.EE.A.2B

Front

Simplify the expression: -6k + 7k

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k

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CCSS.7.EE.A.1