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 bpe
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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178