Question

Apply the distributive property to the expression to write an equivalent expression. 5x + 35 Complete the statements. Find the GCF of . Now, factor out the GCF by dividing each term in the expression by . 5x divided by the GCF is , and 35 divided by the GCF is . The equivalent expression is .

Answer 1

To factor out the Greatest Common Factor (GCF) from the expression 5x + 35, divide each term by the GCF which is 5, resulting in the equivalent expression 5(x + 7).

Step-by-step explanation:

To apply the distributive property to the expression 5x + 35 and write an equivalent expression, we need to find the Greatest Common Factor (GCF) of the terms in the expression. The GCF of 5x and 35 is 5. Now, we can factor out the GCF by dividing each term in the expression by the GCF.

Dividing 5x by the GCF 5 gives us x, and dividing 35 by the GCF 5 gives us 7. Thus, the equivalent expression after factoring out the GCF is 5(x + 7).

Answer 2

Apply the distributive property to the expression to write an equivalent expression.

5x + 35

Complete the statements.

Find the GCF of

✔ 5x and 35

.

Now, factor out the GCF by dividing each term in the expression by

✔ 5

.

5x divided by the GCF is

✔ x

, and 35 divided by the GCF is

✔ 7

.

The equivalent expression is

✔ 5(x + 7)

.