4-1 The Distributive Property
Use the Distributive Property to write each expression as an equivalent expression. Then evaluate the
expression.
10. 6(3 + 9)
SOLUTION: 11. 8(8 + 5)
SOLUTION: 12. (10 + 9)3
SOLUTION: 13. (12 + 7)5
SOLUTION: 14. 9(12 – 3)
SOLUTION: 15. 3(15 – 5)
SOLUTION: 16. –4(8 – 5)
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SOLUTION: 4-1 The Distributive Property
16. –4(8 – 5)
SOLUTION: 17. –7(16 – 8)
SOLUTION: 18. 14(20 – 4)
SOLUTION: 19. SHOPPING Martine bought two pairs of jeans that are on sale for $32.85 each. Use mental math to find the total
cost of the jeans. Justify your answer by using the Distributive Property
SOLUTION: To find the total cost of the jeans, find the product of the number of pairs of jeans bought and the cost of each pair.
The total cost of the jeans is $65.70.
20. EXERCISE Tionne can ride 6 miles on her bike in one hour. If she rode for 1.5 hours on Saturday and 2 hours on
Sunday, use mental math to find the total distance she rode that weekend. Justify your answer by using the
Distributive Property.
SOLUTION: To find the total distance that Tionne rode, find the product of her rate and the number of miles she rode.
Tionne rode her bike a total of 21 miles.
Use the Distributive Property to write each expression as an equivalent algebraic expression.
21. 4(y + 7)
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To find the total distance that Tionne rode, find the product of her rate and the number of miles she rode.
4-1 The Distributive Property
Tionne rode her bike a total of 21 miles.
Use the Distributive Property to write each expression as an equivalent algebraic expression.
21. 4(y + 7)
SOLUTION: 22. 8(x + 2)
SOLUTION: 23. (a + 9)6
SOLUTION: 24. (b + 4)12
SOLUTION: 25. 5(t – 6)
SOLUTION: 26. 3(r – 1)
SOLUTION: 27. –1(d – 10)
SOLUTION: 28. –5(f – 5)
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SOLUTION: 4-1 The Distributive Property
28. –5(f – 5)
SOLUTION: 29. (x – 3) (–7)
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