Rewriting Expressions as Multiples of a Sum - Use the distributive property to rewrite expressions

Sep 30, 2026

Uploaded by Asher

Practice sheet and answer key for rewriting expressions using the distributive property. Students rewrite each given sum of two numbers as a multiple of a sum, ensuring the two factors have no common factor. The example shows how 6 + 30 becomes 6×(1+5), and the worksheet provides multiple problems to complete and check. The companion key lists the expanded multiple-of-a-sum forms for each item so learners can verify results.

LanguageEnglish

CategoryExam

FormatPDF

Pages3

Reading Time8 min

AccessFree to download

Use the distributive property

Example and rewritten form

Practice problems

Answer key

Rewriting Expressions as Multiples of a Sum Name: | Use the distributive property to rewrite the expression as a multiple of a sum of two numbers with no common factor.
Ex) 6 + 30 = 6×(1+5)
1) 30 + 18 = | | Ex.
1.
2. | Answers
6×(1+5) | | --- | --- | --- | --- | | | | | | | | | | | | | | | | | 2) | 28 + 18 = | 3. | | | | | | | | 3) | 24 + 12 = | 4.
5. | | | | | | | | | | | | | 4) | 20 + 33 = | 6. | | | | | | | | 5) | 36 + 4 = | 7.
8. | | | | | | | | | | | | | 6) | 22 + 12 = | 9. | | | | | | | | 7) | 14 + 6 = | 10.
11. | | | | | | | | | | | | | 8) | 12 + 42 = | 12. | | | | | | | | 9) | 6 + 15 = | | | | 10) | 22 + 3 = | | | | 11) | 14 + 6 = | | | | 12) | 20 + 24 = | | | Math [www.CommonCoreSheets.com](www.CommonCoreSheets.com) 1-10 92 11-12 8 83 0 75 67 58 50 42 33 25 17 Rewriting Expressions as Multiples of a Sum Name: Answer Key | Use the distributive property to rewrite the expression as a multiple of a sum of two numbers with no common factor.
Ex) 6 + 30 = 6×(1+5)
1) 30 + 18 = 6×(5+3) | | | | | | Answers Ex. 6×(1+5)
1. 6×(5+3)
2. 2×(14+9) | | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 2) | 28 + 18 = 2×(14+9) | | | | | 3. 12×(2+1) | | | | | | | | | 3) | 24 + 12 = 12×(2+1) | | | | | 4. 1×(20+33)
5. 4×(9+1) | | | | | | | | | 4) | 20 + 33 = 1×(20+33) | | | | | 6. 2×(11+6) | | | | | | | | | 5) | 36 + 4 = 4×(9+1) | | | | | 7. 2×(7+3)
8. 6×(2+7) | | | | | | | | | 6) | 22 + 12 = 2×(11+6) | | | | | 9. 3×(2+5) | | | | | | | | | 7) | 14 + 6 = 2×(7+3) | | | | | 10. 1×(22+3)
11. 2×(7+3) | | | | | | | | | 8) | 12 + 42 = 6×(2+7) | | | | | 12. 4×(5+6) | | | | | | | | | 9) | 6 + 15 = 3×(2+5) | | | | | | | | | | | | | | 10) | 22 + 3 = 1×(22+3) | | | | | | | | | | | | | | 11) | 14 + 6 = 2×(7+3) | | | | | | | | | | | | | | 12) | 20 + 24 = 4×(5+6) | | | | | | | | | | | | | | | Math | Seed: 793243015-78 1-10
[www.CommonCoreSheets.com](www.CommonCoreSheets.com) 11-12 | 92 | 83 | 75 | | 67 | 58 | 50 | 42 | 33 | 25 | 17 | | | | | 8 | 0 | | | | | | | | | | Rewriting Expressions as Multiples of a Sum Name: | Use the distributive property to rewrite the expression as a multiple of a sum of two numbers with no common factor.
Ex) 6 + 30 = 6×(1+5)
1) 30 + 18 =
2) 28 + 18 =
3) 24 + 12 =
4) 20 + 33 =
5) 36 + 4 =
6) 22 + 12 =
7) 14 + 6 =
8) 12 + 42 = | | Answers Ex. 6×(1+5)
1.
2.
3.
4.
5.
6.
7.
8. | | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 1-8 | 88 | | 75 | 63 | 50 | 38 | 25 | 13 | 0 | Math Modified [www.CommonCoreSheets.com](www.CommonCoreSheets.com)

FAQs

What does the worksheet ask you to do with each expression?

Rewrite each given sum of two numbers as a multiple of a sum using the distributive property.

What is the meaning of “with no common factor” in the problem?

When you rewrite the expression as a multiple of a sum, the factors used should not share a common factor.

Where can students find the correct answers?

The document includes an answer key labeled “Answer Key” that provides the rewritten multiple-of-a-sum forms for each numbered problem.

Sep 30, 2026

Uploaded by Asher