ID: 1
Keystone Algebra 1
Name___________________________________
Exponent Properties and Word Problems Review
Date________________ Period____
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Simplify. Your answer should contain only positive exponents.
1) 4r
3)
5)
−1
3n
−1
4n
−1
⋅r
2) (3 x
3
4)
−1
(b 3 ) −3
6) (2 x) 3 ⋅ x 0 ⋅ 2 x −2
2v −3
v ⋅ 3v
b
)
0 4
−2
7) (2 −4 ⋅ 2 2 )
2
0
8)
3 ⋅3
3
9) 3 x −1 y 0 ⋅ 3 x −1 y −4
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−2
−3
10) (4 x 4 y 0 )
-1-
3
Worksheet by Kuta Software LLC
4 2
11)
3x y
12)
−4 4
3x y
13) y x ⋅ ( x y
3
(u 0 v −4 ) 3
v
0
)
−3 2
14) The difference of two numbers is 5. Their sum is 23. What are the numbers?
15) The school that Norachai goes to is selling tickets to a spring musical. On the first day of ticket sales the
school sold 8 senior citizen tickets and 14 student tickets for a total of $136. The school took in $98 on the
second day by selling 7 senior citizen tickets and 7 student tickets. Find the price of a senior citizen ticket
and the price of a student ticket.
16) Asanji and Cody each improved their yards by planting hostas and ivy. They bought their supplies from the
same store. Asanji spent $154 on 13 hostas and 9 pots of ivy. Cody spent $35 on 3 hostas and 2 pots of
ivy. What is the cost of one hosta and the cost of one pot of ivy?
17) New York City is a popular field trip destination. This year the senior class at High School A and the senior
class at High School B both planned trips there. The senior class at High School A rented and filled 10 vans
and 12 buses with 760 students. High School B rented and filled 7 vans and 7 buses with 462 students.
Every van had the same number of students in it as did the buses. How many students can a van carry?
How many students can a bus carry?
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Worksheet by Kuta Software LLC
Answers to Exponent Properties and Word Problems Review (ID: 1)
1) 4r 2
2) 81
4) b 8
3
3)
4
8) 3
1
7) 4
2
x8
1
11) 2
12) 12
y
v
15) senior citizen ticket: $10, student ticket: $4
6) 16 x
2
2
3v
10) 64 x 12
9
9) 2 4
x y
14) 9 and 14
x5
13) 5
y
16) hosta: $7, pot of ivy: $7
17) Van: 16, Bus: 50
5)
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Worksheet by Kuta Software LLC