GCF and Factoring Linear Expressions

Front

What does GCF stand for in mathematics?

Back

GCF stands for Greatest Common Factor, which is the largest factor that two or more numbers have in common.

Front

How do you find the GCF of two numbers?

Back

To find the GCF of two numbers, list the factors of each number and identify the largest factor that appears in both lists.

Front

What is the first step in factoring a linear expression?

Back

The first step in factoring a linear expression is to identify the GCF of the terms in the expression.

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CCSS.7.EE.A.1

Front

Factor the expression: 6a + 18.

Back

6(a + 3)

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CCSS.7.EE.A.1

Front

Factor the expression: 2y + 2.

Back

2(y + 1)

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CCSS.7.EE.A.1

Front

What is the GCF of 15 and 12?

Back

The GCF of 15 and 12 is 3.

Front

Factor the expression: 15x + 12.

Back

3(5x + 4)

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CCSS.7.EE.A.1

Front

Factor the expression: 8b - 32.

Back

8(b - 4)

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CCSS.7.EE.A.1

Front

Factor the expression: 7c + 56.

Back

7(c + 8)

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CCSS.7.EE.A.1

Front

What is the purpose of factoring in algebra?

Back

Factoring is used to simplify expressions, solve equations, and find roots of polynomials.