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.

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CCSS.6.EE.A.2B

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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 in algebra?

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Like terms are terms that have the same variable raised to the same power. For example, 2x and 3x are like terms.

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CCSS.6.EE.A.2B

Front

Simplify the expression: 15y + 24.

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15y + 24 is already in its simplest form.

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CCSS.7.EE.A.1

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Simplify the expression: -2x + -9y.

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-2x - 9y is the simplified form.

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CCSS.7.EE.A.1

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Simplify the expression: -3g + -4.

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-3g - 4 is the simplified form.

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CCSS.7.EE.A.1

Front

Simplify the expression: -3y - 11.

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-3y - 11 is already in its simplest form.

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CCSS.7.EE.A.1

Front

Simplify the expression: -2(x + 4) - (4x + 8).

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-6x - 16 is the simplified form.

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CCSS.6.EE.A.3

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What is the distributive property in algebra?

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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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How do you combine like terms?

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To combine like terms, add or subtract the coefficients of the terms that have the same variable. For example, 3x + 5x = 8x.

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CCSS.7.EE.A.1