### The Distributive Property

```NAME
1-4
DATE
PERIOD
Skills Practice
The Distributive Property
Use the Distributive Property to rewrite each expression. Then evaluate.
1. 4(3 + 5)
2. 2(6 + 10)
3. 5(7 - 4)
4. (6 - 2)8
5. 5 ․ 89
6. 9 ․ 99
7. 15 ․ 104
8. 15(2 )
1
3
Use the Distributive Property to rewrite each expression. Then evaluate.
9. (a + 7)2
11. 3(m + n)
10. 7(h - 10)
12. 2(x - y + 1)
Simplify each expression. If not possible, write simplified.
13. 2x + 8x
14. 17g + g
15. 2x2 + 6x2
16. 7a2 - 2a2
17. 3y2 - 2y
18. 2(n + 2n)
19. 4(2b - b)
20. 3q2 + q - q2
Write an algebraic expression for each verbal expression. Then simplify,
indicating the properties used.
21. The product of 9 and t squared, increased by the sum of the square of t and 2
22. 3 times the sum of r and d squared minus 2 times the sum of r and d squared
Chapter 1
26
Glencoe Algebra 1
NAME
1-4
DATE
PERIOD
Practice
The Distributive Property
Use the Distributive Property to rewrite each expression. Then evaluate.
1. 9(7 + 8)
2. 7(6 – 4)
3. (4 + 6)11
4. 9 · 499
5. 7 · 110
6. 16 (4 4)
1
Use the Distributive property to rewrite each expression. Then simplify.
7. (9 – p)3
10. 16(3b – 0.25)
1
9. 15(f + )
8. (5y – 3)7
3
11. m(n + 4)
12. (c – 4)d
Simplify each expression. If not possible, write simplified.
13. w + 14w – 6w
14. 3(5 + 6h)
15. 12b2 + 9b2
16. 25t3 - 17t3
17. 3a2 + 6a + 2b2
18. 4(6p + 2q – 2p)
Write an algebraic expression for each verbal expression. Then simplify,
indicating the properties used.
19. 4 times the difference of f squared and g, increased by the sum of f squared and 2g
Lesson 1-4
20. 3 times the sum of x and y squared plus 5 times the difference of 2x and y
21. DINING OUT The Ross family recently dined at an Italian restaurant. Each of the four
family members ordered a pasta dish that cost \$11.50, a drink that cost \$1.50, and dessert
that cost \$2.75.
a. Write an expression that could be used to calculate the cost of the Ross’ dinner before