Algebra 1 Companion Book, Vol 1 – Summer Edition

1.2.3 Simplifying Expressions − Worksheet

Example 1:

Simplify each expression.

+ + + 16 2 1 2

1 2

1. − 12 + 67 + 12 + 23 2.

3. 27 + 98 + 73

4 1

1 3

4.

5. 2 ∙ 38 ∙ 50

6. 50 ∙ 118 ∙ 20

8 21

⋅ ⋅

Example 2:

Write each product using the Distributive Property. Then simplify.

7. 14(1002)

8. 16(19)

9. 9(38)

10. 8(57)

11. 12(112)

12. 7(109)

Example 3:

Simplify each expression by combining like terms.

13. 6 x + 10 x

14. 35 x − 15 x

15. − 3 a + 9 a

16. − 8 r − r

17. 17 x 2 + x

18. 3.2 x + 4.7 x

Example 4: Simplify each expression. Justify each step with an operation or property. 19. 5( x + 3) − 7 x 20. 9( a − 3) − 4 21. 5 x 2 − 2( x − 3 x 2 )

22. 6 x − x − 3 x 2 + 2 x 23. 12 x + 8 x + t − 7 x 24. 4 a − 2( a − 1)

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