Name _______________________________________ Date __________________ Class _________________
Unit 1 Study Guide
Exponents and Real Numbers
MODULE
2
Module Quiz: D
1
7. Which expression is equivalent to bp be?
1. Which is equal to 144 2 ?
A 10
A b pe
B 11
B b p be
C 12
C bpe
2. Which expression equals 3?
A
8. In which set does
1
16 2
A Whole numbers
B Rational numbers
1
B 27 3
C
C Irrational numbers
1
125 3
9. Which set includes only rational
numbers?
A
B 17
B
3, , 4
C 145
C
1, 0,
1
1
3. What is 812 64 3 simplified?
A 13
4.
2 belong?
0,
3
, 5
5
5
2
343 3
is equivalent to which of the
following?
10. Rewrite the expression
exponent.
A 7
B 49
C 686
3
11 with an
________________________________________
1
3
5. What is 25 2 4 2 simplified?
25
with the Properties of
23
Exponents.
11. Simplify
A 20
B 40
C 100
________________________________________
1
6. Which is equivalent to
2
36 16 2 ?
A 10
B 14
C 22
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21
Name _______________________________________ Date __________________ Class __________________
12. Simplify the expression. Your answer
should contain only positive exponents.
13. List the sets that each number belongs
to: whole numbers, integers, rational
numbers, irrational numbers, and real
numbers.
a.) 𝑎−3 𝑏 4 ∙ (𝑎3 𝑏 2 )2
a. 15
____________________________________
____________________________________
b.)
b.
𝑥 4 𝑦3
(𝑥 3 𝑦−2 )3
____________________________________
____________________________________
c. 6
____________________________________
____________________________________
d.
1
7
____________________________________
____________________________________
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22
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Name _______________________________________ Date __________________ Class _________________
MODULE
Expressions
3
Module Quiz: D
1. 7 belongs in which set?
6. Which of the following is equivalent to
5 7 p ?
A Whole numbers
B Integers
A 5p 35
C Irrational numbers
B 35 5p
2. Which of the following is a coefficient in
8 x 7y ?
C 35 5p
7. Which of the following is a list of unlike
terms, or terms that cannot be combined?
A 8x
B 8
1
x, 6 x
2
B 3t, 2.5, 4x
A
C y
3. What is 7 6x evaluated for x 3 ?
A 13
x,
2
C 2 , 1, 12
5
8. 7 z 9 z is equivalent to which of the
following?
B 15
C 25
4. Which of the following is r 2 4s
evaluated for r 4 and s 1.5?
A 2
A 14
B 2z
B 22
C 2z2
9. What is 8 x 7 12 x after being
simplified?
C 30
5. Christian works at a library and earns
$16 per hour. On Wednesday, he worked
t hours and his neighbor paid him $13
to walk her dog. Which expression
represents the total amount Christian
earned?
A 13x
B 4x 7
C 20 x 7
10. Hye Sun bought 4 skirts for s dollars
each, 3 pairs of pants for p dollars each,
and a jacket that cost 4 times as much as
each skirt. The total amount she spent is
represented by 4s 3p 4s. What is the
expression in simplest terms?
A 16 13t
B 16 13t
C 16t 13
A 3p 8s2
B 3 p 8s
C 11sp
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26
Name _______________________________________ Date __________________ Class _________________
MODULE
Expressions
3
Module Quiz: D
3
1
11. Simplify 9 2 25 2 .
17. Write an expression equivalent to
7 3p 4 .
________________________________
_________________________________
12. Write the term(s) in the expression
3t 2 5t .
18. Simplify 10 x 7 x .
________________________________
_________________________________
13. Evaluate q 4 8q for q 8 .
19. Simplify 6r 5s 14r .
________________________________
_________________________________
14. Evaluate 11r 2 s 5 for r 4 and
s 2.
20. Simplify 6 x 7 x 2 2x 2 4.
_________________________________
________________________________
21. Jen buys b boxes of cereal for $2.50
each and c cartons of milk for $3.25
each.
15. Ross had c number of coin collections
with 15 coins in each collection. His aunt
gave him 8 more coins. Write an
expression that represents the total
number of coins Ross has now.
a. Write an expression that represents
the total amount Jen spent.
_____________________________
________________________________
b. Jen bought the same number of
boxes of cereal as cartons of milk.
Write a new expression in simplest
terms that represents the amount Jen
spent.
16. Rosalinda’s family is taking a road trip.
mi
They drove at a rate of 45 . If they
h
drove for 5 hours on the first day and
4 hours on the second day, how far did
they go?
_____________________________
________________________________
c. If Jen bought 3 boxes of cereal, how
much did she spend on cereal and
milk?
_____________________________
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27
Name _______________________________________ Date __________________ Class _________________
MODULE
Expressions
3
Module Quiz: B
1. Does 25 belong to each of the
following sets?
8. Which of the following is equivalent to
6 2y 4 p ?
A Whole numbers
Yes
No
B Rational numbers
Yes
No
C Irrational numbers
Yes
No
D Real numbers
Yes
No
A
B 6y p 24
A
_______________________________________
3. Which of the following is a term in the
expression 9x 3 12p 6?
C 3
B 9
D 6
2
_______________________________________
5. Evaluate 10z 2y z for z 2 and
y 6.
Yes
No
2
B 2 , 1, 12
5
Yes
No
C 3t, 2.5, 4x
Yes
No
D 0.5x, 6y, 21
Yes
No
A 2z 8 p
C 15z 9 p
B 8z
D 9 p 15z
12. Les bought 6 pairs of shorts for s dollars
each and 2 pairs of pants that cost
p dollars each. He also bought a blazer
that cost three times as much as a pair
of shorts. Write an expression that
represents the total amount Les spent.
_______________________________________
7. Kurt works at a cafe and earns $16 per
hour. On Wednesday, he worked t hours,
and his neighbor paid him $5 per hour to
babysit for b hours. Which expression
best represents the amount Kurt earned?
D 16b 5t
1
x, 6 x
2
_______________________________________
1
.
2
B 16t 5b
x,
after being simplified?
6. Find 3 x 2 y 2 evaluated for x 4
C 16t 5b
D 24 12y p
11. What is 3 2x 7y 6 x equivalent to
_______________________________________
A 16t 5
p 6 2y 4
10. The expression 7z 9p 9z z is
equivalent to which of the following?
4. What is 7 y 3 y when evaluated for
y 5?
and y
C
9. Is each of the following a list of unlike
terms, or terms that cannot be
combined?
2. How many coefficients are in the
1
expression y 2 18y 9 2y 2 ?
3
A p
p 12y 24
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24
Name _______________________________________ Date __________________ Class _________________
Answer Key
17. Possible answer: 21p 28
Module Quiz 2: D
19. 20r 5s
18. 3x
1. C
20. 5 x 2 6 x 4
2. B
21. a. $2.50b $3.25c
3. A
b. $5.75x
4. B
c. $17.25
5. B
6. A
Module Quiz 3: B
7. C
1. A No B Yes C No D Yes
8. C
2. 3
9. A
3. D
1
113
4. 13
10.
11. 4
5. 14
6. 24
12. a. 𝑎3 𝑏 8
b.
7. C
𝑦9
𝑥5
8. A
9. A No B No C Yes D Yes
13. a. whole numbers, integers, rational
numbers, real numbers
b. irrational numbers, real numbers
c. integers, rational numbers, real
10. D
11. 21y
12. 9s 2p
numbers
d. rational numbers, real numbers
Module Quiz 3: D
1. B
2. B
3. C
4. B
5. C
6. A
7. B
8. B
9. C
10. B
11. 22
12. 3t 2 and 5t
13. 66
14. 30
15. 15c 8
16. 405 miles
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