Chapter Quiz

NAME ___________________________________________________ DATE _____________________ PERIOD __________

Chapter Quiz Use the Distributive Property to write each expression as an equivalent expression. Then evaluate the expression. 2 (s + 20) 1. − 5

1.

2 2 2 −(s) + −(20); − s + 8 5

5

5

2. -6(12 - 8)

-6(12) - 6(-8); -72 + 48 = -24 2.

3. Molly bought four rose bushes for $16.40 each. Use mental math to find the total cost of the bushes. Justify your answer by using the Distributive Property.

$65.60; 4(16 + 0.4) → 64 3. + 1.6 = 65.6

Use the Distributive Property to write each expression as an equivalent algebraic expression.

1 4

1 4

−(8s) + − (16)

4.

5. 0.5(a - 6)

5.

0.5(a) + 0.5 (-6)

6. -2(r - 8)

6.

-2(r) - 2(-8)

7. Carson is making up tool kits to give as holiday gifts. Each tool kit includes a $14 hammer, a $20 screwdriver, and a $6 measuring tape. Write two equivalent expressions for the total cost of 3 tool kits. Then find the total cost.

3(14 + 20 + 6); 7. 3(14) + 3(20) + 3(6); $120

Simplify each expression. Identify the coefficients and constants in each expression. 8. 4x + 9x - 4 - 7y

13x - 7y - 4; coefficients: 8. 13 and -7; constant: -4

9. 12z - 12g + 11g - 7z

9. 5z - g; coefficients: 5 and -1

Add or subtract. Use models if needed. 10. (7x + 8) + (-7x + 8)

10.

16

11. (-4x + 2) - (20x - 5)

11.

-24x + 7

12. (x + 7) + (4x + 3)

12.

5x + 10

13. A rectangle has a length of (5x - 2) feet and a width of (4x + 7) feet. Write and simplify a linear expression for the perimeter.

2(5x - 2) + 2(4x + 7); 13. (18x + 10) ft

160

Math Accelerated • Chapter 7 Algebraic Expressions

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1 (8s + 16) 4. − 4