Name ____________________________Date ________________________________________
Math Review Part I
Write the letter of your answer on the line.
____ 1) Which equation can be used to help solve the equation below?
b x 6 = 420
a)
b)
c)
d)
b = 420 + 6
b = 420 – 6
b = 420 x 6
b = 420  6
____ 2) Which expression below is NOT equal to 7?
1
1
1 2
9
5
a. 3  2
b. 4  1
c. 3  1
9
4
5 3
11 6
7
4
1
d. 2  2
5
7
3
____ 3) Which has the same value as 10 ÷ 5?
a.
7
10
5
×3
7 5

10 2
b.
c.
10 2

7 5
d.
10 2

7 5
1
1
rows of corn in her garden. She needs 3 ounces of seed for
2
4
each row. How many total ounces of seed should Jackie buy?
____ 4) Jackie wants to plant 2
a) 8
1
8
b) 6
1
8
c) 5
3
4
d) 5
2
6
____ 5) How many cups are in 5 quarts?
1 quart = 2 pints
1 pint = 2 cups
a) 10
b) 20
c) 30
d) 40
3
____ 6) At a gymnastics competition,
of the gymnasts won a ribbon. What percent of the
10
gymnasts won a ribbon?
1
d) 33 %
3
____ 7) Which equation shows the commutative property of addition?
a) 3%
b) 30%
a) 6 + 3 = 9
b) 6 + 3 = 6 + 3
c) 6 + 3 = 3 + 6
d) 6 + 3 = 5 + 4
c) 33%
____ 8) Mei wrote the expression below.
4n x 2
If n equals 6, what is the value of the expression?
a) 48
b) 26
c) 20
d) 12
____ 9) George has a one-gallon container of apple juice. How many cups of apple juice are in
the one-gallon container?
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
a) 1
b) 4
c) 8
d) 16
____10) Mr. Jenkins wants to distribute 40 fliers. He has distributed 30 fliers so far. What
percent of the total number of fliers has Mr. Jenkins distributed?
a) 60 %
b) 70%
c) 75%
d) 80%
____ 11) Simplify the expression below.
(6 + 32) x 4
a) 36
b) 42
c) 48
d) 60
____ 12) Keesha will paint one rectangular wall of her bedroom. The wall measures 10 feet by 8
feet. What is the area of the wall that Keesha will paint?
A=lxw
a) 18 square feet
b) 64 square feet
c) 80 square feet
d) 100 square feet
____ 13) What value for n makes the equation true?
3xn=1
1
3
____ 14) Simplify the expression below.
a) -3
b) ½
2
3
c)
d)
c) 28
d) 29
33 + 12
a) 10
b) 11
____15) Which equation is true when x = 0?
a) 6 – x + 2 = 4
b) 2 + 6 – x = 4
c) x – 6 + 2 = 4
d) 6 + x – 2 = 4
____16) Sarah collects stamps and keeps them in envelopes. She had 9 envelopes with a certain
number of stamps, s, in each envelope. She sells 3 of the envelopes. Which expression
represents the number of stamps Sarah has left?
a) 9s -3
c) 9s – 3s
b) (9 + 3)s
d) 9s – s – 3
____ 17) Which proportion is correct?
a)
4 7

5 5
b)
7 10

15 15
c)
4 20

5 25
d)
10 20

15 25
____ 18) Gabe invited 4 girls and 7 boys to a party. Each of Gabe’s guests received a certain
number of candy bars, c. Which expression represents the total number of candy bars
given to Gabe’s guests?
a) 11c
b) 28
c) 4c + 7
d) 4c x 7c
____ 19) What value of x makes the proportion below correct?
x 9

9 27
a) 1
b) 3
c) 6
d) 9
____ 20) What property is shown in the equation below?
4 x (8 x 6) = (4 x 8) x 6
a) inverse property of multiplication
b) identity property of multiplication
c) associative property of multiplication
d) commutative property of multiplication
____ 21) There are 80 sixth-grade students at Howard Elementary School. If 25% of the
students have green eyes, how many sixth-grade students have green eyes?
a) 16
b) 20
c) 40
d) 55
____ 22) A sixth-grade class completed a survey about favorite foods. Of the students in the
2
3
class,
chose hamburgers, and chose pizza. What fraction of the class chose either
6
8
hamburgers or pizza as the favorite food?
a)
1
24
b)
6
48
c)
5
14
d)
17
24
____ 23) In a sixth-grade music class,
equivalent to
a) 0.02
1
of the class wants to play the drums. Which decimal is
5
1
?
5
b) 0.15
c) 0.2
d) 1.5
_____ 24) A hen lays an average of 5.5 eggs each week. If she lays eggs for a certain number of
weeks, w, which expression can be used to determine the total number of eggs she lays?
a) 5.5  w
b) 5.5 + w
c) 5.5 – w
d) 5.5 x w
_____ 25) Bobby is sorting some nails by their lengths. The lengths of the nails of 2
1
inches,
2
3
3
1
1
inches, inch, 3 , and 2 inches. Which list of lengths is in order from
4
4
2
4
shortest to longest?
2
a) 2
1
1 3
1
3
,2 , ,3 ,2
2
4 4
2
4
b)
3
1
1
3
1
,2 ,2 ,2 ,3
4
4
2
4
2
c)
3
1
1
1
3
,2 ,2 ,3 ,2
4
2
4
2
4
d) 3
1
3
1
1 3
,2 ,2 ,2 ,
2
4
2
4 4
____ 26) Which expression is equivalent to 11 + 3 ?
a) 11 + 3
b) 11 – 3
c) -11 + -3
____ 27) Simplify the expression below.
43 x 32
a) 35
b) 73
c) 384
d) 576
____ 28) Simplify the expression below.
6 x (53 + 2)
a) 762
b) 752
c) 102
d) 92
____ 29) If 8n = 96, what value of n makes the equation true?
a) 12
b) 88
c) 104
d) 768
d) -11 – 3
____ 30) What number is equivalent to −|−16|?
a) -
1
16
b)
1
16
c) −16
d) 16
____ 31) What statement is a proportion?
a)
3 4
=
4 6
b)
3
4
=
4
8
c)
3
6
=
4
8
d)
3
7
=
4
8
____ 32) At a school carnival, a group of 47 students played the Fish Pond game. Each student
in the group won a prize. A stuffed animal was won by 24 students, a rubber ball was
won by 7 students, and the rest of the students won a baseball cap. What fraction of the
group won a baseball cap?
a)
7
47
b)
16
47
c)
24
47
d)
31
47
_____ 33) Mr. Simpson has 5 boxes of paintbrushes in his art room. After the first week of
school, he buys 3 more paintbrushes. The expression below shows the total number of
paintbrushes in Mr. Simpson’s art room when p represents the number of brushes in
each box.
3+px5
If each box contains 8 paintbrushes, how many total paintbrushes are in Mr.
Simpson’s art room?
a) 18
b) 28
c) 43
d) 55
____ 34) Marcus took a train to visit his aunt. The train traveled at an average speed of 60 mph.
The trip took 45 minutes. How far was the distance traveled?
a) 45 miles
b) 60 miles
c) 15 miles
d) 2,700 miles
____ 35) Nan lives 13 ½ miles from the airport. Felipe lives 6 ¼ miles from the airport. How many
more miles does Nan live from the airport than Felipe?
a) 7
1
8
b) 7
1
6
c) 7
1
4
d) 7
1
2
____ 36) Mr. Cohen wrote the expression below for his 3 cousins to use to find his age.
n2 ∙ 7 – 3
If n represents the number of cousins, what is Mr. Cohen’s age?
a) 12
b) 18
c) 36
d) 60
____ 37) Paulie multiplies two numbers whose product is 1. If one of the numbers is 2, what is the
other number?
a)
2
1
b)
1
2
c) 1
d) 0
____ 38) There are 283 students in Wally’s school and 59 of them are in the sixth grade. What is
the approximate percent of students at Wally’s school who are in the sixth grade?
a) 80%
b) 60%
c) 40%
d) 20%
____ 39) Andi walks at a rate, r, of 4 miles per hour. What is the distance, d, that she walks in
the time, t, of 3 hours?
𝒅=𝒓 ∙𝒕
a) 1 mile
b) 7 miles
c) 12 miles
d) 43 miles
____ 40) Which exponential expression is equivalent to 8 x 8 x 8 x 8?
a) 44
b) 48
c) 84
d) 88
____ 41) Ms. Brown asked her students to simplify the expression below.
2
1
+
3
4
What is the simplified version of Ms. Brown’s expression?
a)
2
7
b)
3
7
c)
3
12
d)
11
12
____ 42) What is the value of x in the expression below?
3
x
=
5
30
a) 6
b) 9
c) 10
d) 18
____ 43) What is the expanded form of 93?
a) 9 x 3
b) 9 + 3
c) 9 + 9 + 9
d) 9 x 9 x 9
____ 44) Simplify the expression below.
3 + 5 x 23 + 32
a) 39
b) 52
c) 73
d) 88
____ 45) Mr. Ramirez bought 6 tickets to the circus. He spent a total of $12.00. He used the
equation below to determine the cost of each ticket, t.
6t = 12.00
How much money did Mr. Ramirez spend on each ticket?
a) $72.00
b) $18.00
c) $6.00
d) $2.00
____ 46) What is the value of the expression below when r = 2?
2r3 x2 + 2
a) 66
b) 14
c) 18
d) 22
____ 47) A clothing store had 30 jackets. If j represents the number of jackets the store then
sold, which expression can be used to determine the total number of jackets that were
not sold?
a) 30j
b)
30
j
c) 30 - j
d) j - 30
1
1
yards of fabric. She buys an additional 1 yards of fabric. How many
3
2
total yards of fabric does she have?
____ 48) Stacy has 2
a) 3
1
5
b) 3
2
5
c) 3
1
6
d) 3
5
6
d) -
1
27
____ 49) What number is equivalent to 27 ?
a) 27
b) -27
c)
1
27
____ 50) Lani has learned 21 of the 84 songs in her piano playbook. What percent of the total
number of songs in the playbook has Lani learned?
a) 75%
b) 63%
c) 25%
d) 21%
____ 51) Which point of the number line below represents a number that is less than -2.5 but greater
than -7.5?
R
S
T
V
-10
-5
a) point R
0
b) point S
5
c) point T
____ 52) Which proportion is correct?
a)
4 3
=
10 6
b)
1
7
=
2
8
c)
1 3
=
2 6
d)
4 7
=
10 8
____ 53) Which pair of expressions is equivalent to each other?
a) 2 x 2 x 2 and 32
b) 6 x 6 x 6 x 6 and 46
c) 4 x 4 x 4 x 4 x 4 and 45
d) 8 x 8 x 8 x 8 x 8 x 8 and 88
10
d) point V
____ 54) What value is equivalent to 
1
?
4
1
1
c) 4
d)
4
4
____ 55) What is the property shown in the equation below?
6x0=0
a) zero property of multiplication
b) inverse property of multiplication
c) identity property of multiplication
d) commutative property of multiplication
a) -4
b) -
____ 56) Mary picks 15 flowers from her garden. If 3 out of 5 of these flowers are yellow, how
many yellow flowers does Mary pick?
a) 3
b) 9
c) 13
d) 25
____ 57) Roberto has container with 4,200 milliliters of water. How many liters of water are in
Roberto’s container?
1 liter = 1,000 milliliters
a) 0.042
b) 0.42
c) 4.2
d) 42
____ 58) Simplify the expression below.
72 – 9 + 1 3
a) 37
b) 39
c) 41
d) 43
____ 59) Mica and Denise are reading the same novel. Mica has read
has read
a)
1
of the novel, and Denise
2
1
of the novel. How much more of the novel has Mica read than Denise?
3
1
6
b)
2
5
c)
3
5
d)
5
6
____ 60) Simplify the expression below.
43  22
a) 2
b) 3
c) 16
d) 32
____ 61) Rona drove 56 miles to visit a friend. She drove 42 miles before stopping for gas.
What percent of the drive did Rona complete before stopping for gas?
a) 75%
b) 25%
c) 42%
d) 14%
____ 62) The number of restaurants on Boland Street is 3 less than 4 times the number of
restaurants, r, on Macaw Street. Which expression can be used to determine the
number of restaurants on Boland Street?
a) 7r
b) 12r
c) 3 – 4r
d) 4r – 3
____ 63) What algebraic equation represents “three times the difference of a number, x, and
nine equals fifteen”?
a) 9x – 3 = 15
b) 3(9) - x = 15
c) 9 – 3x = 15
d) 3(x – 9) = 15
____ 64) David measures a side of a piece of wood. The length is 8 feet and the width is
one-half of the length. What is the area, in square feet, of the piece of wood?
A = lw
a) 4
b) 16
c) 32
d) 108
____65) Choose the expression with the greatest quotient.
a) 5
1
1

2
4
b) 3
1 1

3 4
c) 7 
1
4
d)
1
1

10
4
3
1
of all the items are baseball items and of all the items are
10
3
football items. What fraction of the total number of items in the store are baseball or football items?
____ 66) At a sporting goods store,
a)
19
30
b)
4
13
c)
4
30
d)
3
13
____67) Trevor rode his bicycle 25 miles in 2 hours. Assuming Trevor rode at a constant speed,
how many miles did Trevor ride in one hour?
a) 4 miles
b) 5 miles
c) 10 miles
1
d) 122 miles
_____ 68) A model dough recipe calls for 2 cups of salt, 1 cup of flour, and 2 cups of hot water.
How many cups of flour are needed for each cup of salt?
1
a) 2 cup of flour
b) 1 cup of flour
1
c) 12 cups of flour
d) 2 cups of flour
_____ 69) The table shows the prices of 3 boxes of laundry detergent of different sizes. Which size
box costs the least per ounce?
Size
Price
150 oz.
$18.97
100 oz.
$11.97
56 oz.
$8.97
a) 150 oz.
b) 100 oz.
c) 56 oz.
d) They cost the same
_____ 70) During a 30% off sale, Lourdes pays $140 for a swing set. What was the original price
of the swing set?
a) $42.00
b) $182.00
c) $200.00
d) $466.67
_____ 71) The Hoboken Renegades won 40% of their 180 games. How many games did the
Renegades win?
a) 72 games
b) 96 games
c) 108 games
d) 450 games
_____ 72) During a 30% off sale, Chan Hee pays $175 for a picnic table. What was the original
price of the picnic table?
a) $52.50
b) $227.50
c) $250.00
d) $483.33
_____ 73) The Gilroy Garlics won 40% of their 160 games. How many games did they win?
a) 64 games
b) 96 games
c) 108 games
d) 400 games
_____ 74) Ayame drank 20 ounces of water in the morning, 36 ounces with lunch, and 20 ounces
with dinner. How many cups of water did she drink? (8 oz. = 1 cup)
a) 76
b) 9.5
c) 7.6
d) 4.75
_____ 75) A Girl Scout is placing markers every 16 meters along a trail. How many kilometers
apart are the markers? (1000 meters = 1 kilometer)
a) 0.016
b) 0.16
c) 1.6
d) 16
3
1
_____ 76) Marco has 14 pounds of potato salad. How many 8 pound servings of potato salad can he
make?
a) 12
b) 14
c) 16
d) 24
_____ 77) Which shows the quotient of the division equation shown?
𝟓
𝟏𝟐
2
a) 1 3
𝟏
÷ =
𝟒
1
b) 1 2
c)
3
d)
5
5
48
_____ 78) Which of the following represents a negative number? More than one may apply.
a) deposit of $75
b) a debt of $2
b) an increase of 2 inches in height
d) a loss of 5 pounds in weight
1
_____ 79) What is the opposite of − 2?
a) −2
1
1
b) − 2
c) 2
d) 2
_____ 80) Which of the following are the opposite of −5? More than one may apply.
1
a) −(−5)
1
b) − 5
c) 5
d) 5
_____ 81) In which quadrant is the point (−2,3) located?
a) I
b) II
c) III
d) IV
3
3
_____ 82) One bag of tomatoes weighs 5 4 pounds. A second bag weighs 5 8 pounds. Which
inequality correctly compares the weights of the bags?
3
3
3
a) 5 4 < 5 8
3
3
b) 5 4 > 5 8
3
c) 5 8 > 5 4
3
3
d) 5 4 ≥ 5 8
_____ 83) Which two numbers are each a distance of 8 units from 0?
a) −8 𝑎𝑛𝑑 0
b) −8 𝑎𝑛𝑑 8
c) −16 𝑎𝑛𝑑 16
d) −16 𝑎𝑛𝑑 0
_____ 84) Which is an equivalent expression for 𝟎. 𝟏𝟒 + 𝟎. 𝟏𝟒 + 𝟎. 𝟏𝟒 + 𝟎. 𝟏𝟒 + 𝟎. 𝟏𝟒?
1
a) (0.14)2
b) 5(0.14)
c) 0.14 + 5
d) (0.14)5
1 1 1 1
_____ 85) Which is another way to express ∙ ∙ ∙ ?
3 3 3 3
1
a) 4 ∙ 3
1
4
b) (3)4
4
c) 3
d) 12
1
_____ 86) Which is the value of (7)2?
a) 14
1
1
b) 14
1
c) 27
d) 49
_____ 87) Which is an equivalent expression for (5.1)(5.1)?
a) 5.1 x 2
c) 5.12
b) 2(5.1) x 5.1
d) 52 + 2 x 5 x 0.1
_____ 88) Simplify. 𝟑𝟑 − 𝟑𝟐
a) 3
b) 9
c) 12
d) 18
_____ 89) Which expression represents this phrase?
two-thirds of the sum of four and a number p
2
a) 3 (4𝑝)
2
2
b) 3 (4 + 𝑝)
c) 3 (4 − 𝑝)
d)
2
3
𝑝
_____ 90) How many terms are in this expression?
𝟐𝒙 + 𝟑𝒙𝟐 + 4y + 32
a) 2
b) 3
c) 4
d) 5
____91) A car traveled from Indianapolis, Indiana, to Miami, Florida, at an average rate of 50
miles an hour. The distance was 1,203 miles. Approximately how much time did the
trip take?
a) about 12 hours
b) about 22 hours
c) about 24 hours
d) about 32 hours
_____ 92) Evaluate the expression for x = 10 and y = 3.
𝟓(𝒙 − 𝟐𝒚)
a) 10
b) 20
c) 40
_____ 93) Consider the expression.
a) 1
b) 2
𝟑𝒙+𝟐𝒚
𝟒
c) 4
d) 50
Evaluate the expression for x =2 and y = 5.
d) 8
_____ 94) Which expression is equivalent to 5s + 4?
a) 4(s + 1)
b) 9s
c) 5(s + 1)
d) s + s + s + s + s + 4
_____ 95) Which expression is equivalent to the expression below?
𝟒𝟐𝒓 − 𝟒𝟐
a) 7(𝑟 − 6)
b) 6(𝑟 − 7)
c) 41𝑟
d) 42(𝑟 − 1)
_____ 96) Which values of t make the inequality true? More than one may apply.
𝒕 + 𝟔 ≤ 𝟏𝟒
a) 10
b) 5
c) 12
d) 8
_____ 97) Which value for x makes the equation true? 𝒙 +
1
a) 2
5
b) 8
3
c) 4
𝟏
𝟖
=
𝟑
𝟒
d) 1
_____ 98) Which values for y make the inequality true?
𝟎. 𝟐𝒚 > 𝟏
a) 0.5
b) 5
c) 7
d) 10
_____ 99) Juanita earns money by mowing lawns. She charges each customer $8 for expenses plus
$12 per hour. Which expression can be used to determine how much Juanita earns mowing a lawn
for h hours?
a) 12ℎ + 8
b) 12ℎ − 8
c) 8ℎ + 12
d) 8ℎ − 12
_____ 100)The Nile River is the longest river in the world at 6,650 km long. Which of the
following is this number written in expanded form?
a) (6 x 104) + (6 x 103) + (5 x 102)
b) (6 x 103) + (6 x 102) + (5 x 101)
c) (6 x 104) + (6 x 102) + (5 x 101)
d) (6 x 104) + (6 x 103) + (5 x 101)
1
1
_____ 101) The fraction 8 is equal to the decimal 0.125, and 16 is equal to 0.0625.
Which of the following decimals is between 0.125 and 0.0625?
a) 0.240
b) 0.012
c) 0.057
d) 0.088
_____ 102) The amount of time from one New Moon to the next New Moon is about 29.5306 days.
What is this number written in expanded form?
a) 20 + 9 + 0.5 + 0.03 + 0.006
b) 20 + 9 + 0.5 + 0.03 + 0.0006
c) 20 + 9 + 0.5 + 0.003 + 0.0006
d) 20 + 9 + 0.05 + 0.003 + 0.0006
_____ 103) Find the sum of 346,754,433 and 104.
a) 346,754,473
b) 346,854,433
c) 346,754,447
d) 346,764,433
____104) Using order of operations, which is the last operation you should perform to evaluate this
expression?
(1 x 2.5) + (98 – 8) + (5 + 6.7) x (52 ÷ 13)
a) addition
b) subtraction
c) multiplication
d) division
____ 105) Which of the following is equal to 2?
a) 3.9 + 2.5 x 3.9 – 1.4 ÷ 8
c) (3.9 + 2.5) x 3.9 – 1.4 ÷ 8
b) 3.9 + 2.5 x (3.9 – 1.4) ÷ 8
d) [(3.9 + 2.5) x (3.9 – 1.4)] ÷ 8
____ 106) What is 0.486 ÷ 5.4?
a) 0.011
b) 0.09
c) 0.11
d) 0.9
____ 107) Which set of numbers when substituted for g are solutions to the following inequality?
54 – g ≤ 8
a) 39, 42, 45
b) 1, 8, 9
c) 45, 46, 48
d) 46, 48, 49
____ 108) What is the first step in evaluating the expression shown? 2 x [1.5 x (17.4 – 0.6) + 9.8]
a) subtract 0.6 from 17.4
c) subtract .6 from 9.8
b) multiply 1.5 and 17.4
d) multiply 2 and 1.5
𝑥
____109) If 24 is a fraction in simplest form, which could be a value for x?
a) 3
b) 6
c) 7
d) 9
____110) Which of the following fractions is in simplest form?
a)
12
15
b)
39
65
c)
27
98
d)
11
121
____111) Kennedy Space Center, located on Merritt Island, is also a National Wildlife Refuge.
Only about 0.04 of the total area is used for space operations. Which fraction best represents the
area used for space operations?
2
1
a) 5
1
b) 25
1
c) 4
d) 200
____ 112) Chelsea goes to a club meeting only on Fridays. She plays chess every third day. If
Chelsea goes to a club meeting and plays chess on Friday, how many days will it be before she goes
to a club meeting and plays chess again on the same day?
Find the least common multiple of 3 and 7.
a.
21 days
b.
14 days
c.
32 days
d.
28 days
1
1
____113) Which expression could you use to find the difference between 63 and 42?
7
3
1
a) 58 - 46
1
2
b) 66 - 46
3
8
c) 56 - 46
3
d) 56 - 46
____ 114) Which shows the Commutative Property of Addition?
2
1
1
2
a) 63 + 42 =116
2
1
1
1
1
2
2
b) 6 3 + 42 = 42 + 63
1
1
c) 63 = 116 - 42
d) 42 = 116 - 63
4
____115) To round 47 to the nearest whole number, which two numbers should you compare?
4
4
a) 4 and 7
2
4
b) 7 and 3
1
1
c) 7 and 2
d) 4 and 2
2
3
____ 116) The cornbread recipe needs to be tripled for the band dinner. If 3 cup of sugar and 4 cup
of cornmeal are needed for 1 recipe, which expression shows the total amount of
cornmeal and sugar used for the dinner?
3
2
2
a) 3(4 x 3)
3
2
b) 3 (3 + 4)
3
c) (3 x 3) + (3 x 4)
2
3
_____117) Use estimation to determine which of the following comparisons is true.
1
3
a) 55 x 34 < 14
1
7
c) 73 x 9 8 > 54
4
5
b) 47 x 4 9 x < 16
2
5
d) 443 x 2 7 > 150
6
1
____118) Which of the following would best help you estimate 27 x 4 3 ?
a) Change the mixed numbers to improper fractions.
b) Round the factors to the nearest whole numbers.
c) Draw a picture to show the problem.
d) Change the mixed numbers to decimals.
2
3
d) (3 + 4) x (3 + 4)