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Distributive Property Word Problems

Authored by John Hunt

Mathematics

6th Grade

CCSS covered

Used 173+ times

Distributive Property Word Problems
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About

This quiz focuses on the distributive property in mathematics, specifically targeting 6th-grade students who are learning to apply this algebraic concept through real-world word problems. The problems require students to understand that when multiple groups contain the same combination of items, they can multiply the number of groups by the sum of items in each group, expressed as a(b + c) = ab + ac. Students must demonstrate their ability to translate contextual situations into mathematical expressions, recognize when quantities are being distributed across equal groups, and identify equivalent expressions that represent the same mathematical relationship. The core reasoning skills include pattern recognition, algebraic thinking, and the ability to connect concrete scenarios to abstract mathematical representations, building the foundation for more advanced algebraic concepts. Created by John Hunt, a Mathematics teacher in US who teaches grade 6. This quiz serves as an excellent tool for reinforcing the distributive property through practical applications that students encounter in daily life. Teachers can use these problems as warm-up exercises to activate prior knowledge, as guided practice during instruction to build confidence, or as formative assessment to gauge student understanding before moving to more complex algebraic expressions. The quiz works particularly well for homework assignments where students can work through problems at their own pace, and it provides valuable data for review sessions where common misconceptions can be addressed. These problems align with Common Core State Standards 6.EE.A.3, which requires students to apply properties of operations to generate equivalent expressions, and support the broader mathematical practices of modeling with mathematics and looking for structure in mathematical relationships.

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10 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Each day, you run on a treadmill for 20 minutes and lift weights for 15 minutes. Which expressions can you use to find how many minutes of exercise you do in 5 days?

5(20 + 15)

15(20 + 5)

20(15 + 5)

5(20 x 15)

Tags

CCSS.6.EE.B.6

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

An art club sells 42 large candles and 23 small candles each week. Write an expression showing how many candles they sell each in 7 weeks.

23(7 + 42)

7(23 + 42)

42(7 + 23)

7(23 x 42)

Tags

CCSS.HSA-SSE.A.1A

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Apples sell for $0.75 and pears sell for $0.60. If Jamie sold 9 of each fruit, which expression shows this?

6($0.75 - $0.60)

9($0.75 + $0.60)

9($0.75 x $0.60)

6($0.60 + 9)

Tags

CCSS.6.EE.B.6

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Seven people visited a local restaurant to get some lunch. A burger costs $8 and a bottle of soda costs $2. If all seven people ordered a burger and a soda, which a numerical expression shows the amount of money the restaurant made for this order.

7(2 + 8)

8(8 + 2)

2(8 + 7)

7(8 x 2)

Tags

CCSS.6.EE.A.2C

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Each row in a classroom has 11 girls and 12 boys. There people 9 rows in that class. Write a numerical expression to show the number of students in that class.

11(9 + 12)

11(9 x 12)

9(11 x 12)

9(11 + 12)

Tags

CCSS.6.EE.B.6

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

There are 6 groups of kids with 3 boys and 2 girls in each of the groups. Which expression represents this situation?

6 x 3 + 2
(6 x 3) x 2
(6 + 3) x (6 + 2)
6 (3 + 2) 

Tags

CCSS.6.EE.A.2A

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Frolie made gift bags for his teachers. He made 6 identical bags with 1 gift card, 2 packages of beef jerky, and 5 chocolates in each. Which expression represents this situation?

6 (1 + 2 + 5)
(6 + 1) x (6 + 2) x (6 + 5)
6 (1 x 2 x 5)
6 + (1 x 2 x 5)

Tags

CCSS.6.NS.B.4

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