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Distributive Property Practice
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Distributive Property Practice
Use the distributive property to rewrite expressions and solve equations. Show your work for written-response questions.
Choose the best answer
1.Which expression is equivalent to 4(y + 6)?
- 4y + 6
- 4y + 24
- y + 24
- 10y
2.Select every expression equal to 3(2a + 5).
- 6a + 15
- 6a + 5
- (2a + 5) + (2a + 5) + (2a + 5)
- 3a + 15
3.Simplify 5(3m - 2).
- 15m - 2
- 15m - 10
- 8m - 10
- 15m + 10
4.Simplify 2(4n + 3) + 3n.
- 8n + 6
- 11n + 6
- 8n + 9
- 11n + 3
Show your work
5.Rewrite 6(p + 4) using the distributive property, then simplify.
6.Simplify and combine like terms: 4(2x + 3) + 2(x - 5).
7.Solve 2(x + 7) = 26. Show how you use the distributive property, then check your solution by substitution.
8.Solve 4(x + 3) = 2x + 18. Write the distributed equation and check your answer.
9.A club packs 5 bags with the same number of pencils and 4 erasers in each bag. If each bag has p pencils, the total number of supplies is 45. Write an equation and find p.
10.Simplify 3(2y + 4) - (y + 5).
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