Module 3 Extra Practice Simplify each expression. Show your work. 1) 3 + 5(

+ 4) − 6

−5

3) 8 − 3(2 − 4 ) + 9

5)

(21 − 14)

7) −2(3 − 3 ) − 4

2) −7(2.4 − 1.2 )

4) −3 (2 − 4) + 5

6) (3 − 5 + 9 ) − (2 − 2 + 9 )

8)

−

+

Write each expression in reverse distributed (factored) form. 9) 5 + 20

10) 12

11) 7 − 42

12)

+4

+5

Name the most specific property that each statement illustrates. 13) 3( + 4) = 3( ) + 3(4) 14) 3

+5 = 5 +3

15) −6 + 6 = 0 16)

+0 =

17) 4 + (2 + ) = (4 + 2) + =1

18)

19) (3 ∙ 4) = 12 20) 3 − 7 = 3 + (−7) 21)

∙1=

22) 4 (0) = 0

Name the most specific property used to justify each step. 23) a) 3( − 2) + 4 = 3 + (−2) + 4 b) = 3 + (−6) + 4 c) = 3 + 4 + (−6) d) = (3 + 4 ) + (−6) e) = 7 + (−6)

a) b) c) d) e)

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Write a simplified expression to represent each situation. 24) Gordy and Teddy are going camping. Teddy buys x bags of trail mix. Gordy buys 3 more bags of trail mix than Teddy. If each bag of trail mix costs $1.19, write a simplified expression that shows the cost of the trail mix that Gordy and Teddy bought altogether.

25) Kimmy runs for 45 minutes each day. Then, she stretches for x minutes each day. Write a simplified expression that shows the number of minutes Kimmy runs and stretches altogether over a period of 7 days.