Unit 5 Functions and Sequences Lesson 6 Does the Order Matter? 83

NAME: PERIOD: DATE:

Homework Problem Set

Simplify each expression so that there are no negative exponents.

1. 2 0( )xy 2. 2 3( )x 3. 2 2⎛⎝⎜⎜⎜⎞⎠⎟⎟⎟

yx

4. 1 1( )− −abc 5.

2 4 2

3 2

−a b cab c

6.2

3

4⎛⎝⎜⎜⎜⎞⎠⎟⎟⎟

− −ab

7. 4

2

3⎛⎝⎜⎜⎜⎞⎠⎟⎟⎟−

mn

8.1 0 2

2 1 3

−

−m n pm n p

9. 3 2( )−mnp

10.3 2

3 2 1− − −d e f

d e f11. d3 ! d2 ! d24 12. 3 2

7 4e ee e⋅−

13.3 4

2 1− −a b

a b14. 3 3 0( )− −a b 15. 2 3 2

3m m

m⋅−

221 4

a bc abc q q a

m m m3h'p p mZn2p6 m n

d6e d e e

a5b 2m5m3 2m

84 Module 3 Functions

16.2

3 4 4

3

( )−−

x x

x17. 2 3 4( )− −x x 18. 2

3

4 4 3

2 3 4

− −

−x y zx y z

19. 3 4

3

−mm

20. 2 2 4( )−x 21. 33

4

3nn

Determine what integer can be placed in the blank to make the statement true.

22. 3 2

3

4 12

____a bb

ab

⎛⎝⎜⎜⎜

⎞⎠⎟⎟⎟ =−

23. 4 2 3 2

4

_____

a b ba

( ) = ⎛⎝⎜⎜⎜⎞⎠⎟⎟⎟

− −

24. 2 32

____ 3a b aa b

=−−

25. ( ) =a b aa b

3 50 3

____ ____

2

3m 2 xs i6 JEFF

320

938 am0f a b6 b

4 3 o

Unit 5 Functions and Sequences Lesson 6 Does the Order Matter? 85

Spiral REVIEW—Order of Operations26. Four Number Game: Use the numbers 1, 2, 3 and 4 no more than once for each problem. You

may use any operations including powers and parentheses. You may NOT create a 2-digit number (1 & 2 " 12). For example, if the number was 10, then we could do any of the following: 1 # 2 # 3 # 4 $ 10 or 2 ! 3 # 4 $ 10 or 32 # 1 $ 10.

A. The number is 12:

B. The number is 15:

C. The number is 25:

D. The number is 32:

27. Think about order of operations to insert parentheses to make each statement true. If you are having trouble remembering the Order of Operations, watch the YouTube video by Math Antics https://www.youtube.com/watch?v=dAgfnK528RA.

A. 2 # 3 % 42 #1 $ 81

B. 2 # 3 % 42 #1 $ 85

C. 2 # 3 % 42 #1 $ 51

D. 2 # 3 % 42 #1 $ 53

Answers may vary3 43 4 t l

4 t 1 2

4 3H 2

I

No parenthesesneeded

C D