Name _______________________
Math 7
Review of Day #1-10
Date ______________
Review
Directions: Answer all of the following questions. You may use a calculator. Show any
necessary formulas and work. Box / circle your final answer.
Day 1
1.)
A
_____
Which number is an irrational number?
A
B
2.58
C
-
18
D
4
5
81
C
2.)
Where does
A
l
l
3
3.)
B
l
4
l
l
5
C
l
D
l
_____
l
6
What is the least common multiple of 2, 12 and 15?
A
B
C
D
4.)
30 lie on the number line below?
7
B
_____
120
60
12
1
What is the greatest common factor of 18, 20 and 24?
A
B
C
D
l
C
_____
20
6
2
1
OVER
Day 2
5.)
What is the simplified exponent form of 58 x 53 ?
A
C
6.)
Which of the following is 3.268 x 10 in scientific notation?
A
_____
0.0003268
3,268
0.00003268
32,680,000
Write the prime factorization of 180 in exponential form.
A
B
C
D
B
_____
145 x 105
1.45 x 107
1.45 x 105
1.45 x 10 - 7
-4
A
B
C
D
8.)
524
2524
B
D
14,500,000 people watched the Oscars last year. What is this
number written in scientific notation?
A
B
C
D
7.)
511
2511
A
_____
A
_____
22  32  5
22  9  52
2  32  52
2  33  52
Day 3
9.)
8 -  12 + 42 =
A
B
C
D
4
12
20
36
C
_____
Day 4
10.) Matt is a contractor. He charges a total of $85 for supplies
and $60 for each hour, h, that he works. Which expression
represents the total amount of money Matt charges?
A
60 + 85h
B
60h + 85
C
60 + 85 + h
D
60h + 85h
11.) Evaluate the expression y2 + xy if x = -4 and y = 5.
A
B
C
D
_____
C
45
30
5
-10
12.) Simplify the following expression:
A
B
C
D
-12 + 9x - 5x + 8
B
_____
4x – 20
4x – 4
14x - 20
14x - 4
13.) Write an expression to represent “6 less than three times a number, x.”
A
B
C
D
B
_____
D
_____
6 – 3x
6x – 3
3 – 6x
3x - 6
Day 5
14.) Solve the following equation:
-18 =
x
2
2  -18 =
x
2
2
-36 = x
OVER
#15-16 Solve the following equations.
15.)
10x + 7 = -13
16.)
6x - 8 = 4x + 4
10x + 7 = -13
-7
-7
6x - 8 = 4x + 4
-4x
-4x
10x = -20
10
10
X= -2
2x - 8 = 4
+8 +8
2x = 12
2
2
17.) Solve and graph the inequality.
X=6
x+5 > 2
O
x+5 > 2
-5
-5
X > -3
18.) Which inequality is shown below?
A
x<0
B
C
D
x0
x>0
x0

D
Day 6
19.) Tommy made a scale drawing of Cape Cod. He used the scale 1 cm = 12 miles.
The distance between was Wellfleet and Provincetown is 5.8 cm. What is the
actual distance between Wellfleet and Provincetown?
cm
miles
1 = 5.8
=
12
x
12 5.8 = x
69.6 miles = x
20.) A container of water has a mass of 85 grams. How many milligrams is this?
1 gram = 1,000 milligrams
A
B
C
D
0.0085 milligrams
0.085 milligrams
85,000 milligrams
8,5000 milligrams
C
21.) A beaker can hold 104 fluid ounces. How many cups is this?
A
B
C
D
832
112
96
13
1 cup = 8 fluid ounces
D
22.) The circle graph below compares the ways people in New York City commute to
work. What central angle would represent the “bus” section of the circle graph?
40 = x
100
360
40  360 = 100x
14400 = 100x
100
100
bike 2%
144
Day 7
41
23.) Find the complement of a 49 angle.
24.) Find the value of x in the diagram below.
x
139
41
OVER
25.) Two angles in a quadrilateral measure 35 and 35. If the other two angles
are equal in measure, find the value of x.
x
35
x
35
35 + 35 = 70
360 – 70 = 190
190  2 = 145
[not drawn to scale]
145
26.) Find the volume of the box shown below.
V=lxwxh
V = 3.6 x 12 x 2.8
V = 120.96 cm3
Day 8
27.) Find the area of the triangle below.
A=bh
2
A= 8 cm2
28.) The area of a square is 36 ft2. Find the length of a side of the square.
A = s2
36 = s2
36 =  s2
6=s
29.) The circumference of a circle is 6 ft. Find the diameter of the circle.
C = 2r
C = 2r
6= 2r
2 2
3=r
6=d
30.) Find the missing side of triangle ABC.
a2 + b2 = c2
62 + 82 = c2
36 + 64 = c2
100 = c2
100 = c2
10 = c
10 in
[not drawn to scale]
31.) Use the Pythagorean Theorem to prove that triangle ABC is a right triangle.
a2 + b2 = c2
32 + 42 = 52
9 + 16 = 25
25 = 25
[not drawn to scale]
Yes, it is a
triangle
Day 9
32.) Lily’s last 10 test scores are shown in the table below. What is the range?
95
76
80
52
100
91
78
32
88
81
100 – 32 = 68
33.) Dan bought a bag of chips. In the bag there are 7 yellow chips, 5 white chips, 6
green chips, and 2 red chips. If he chooses two chips, without replacement, find
the probability of Dan picking green and white chips.
6 x 5
20
19
=
30 = 3
380
38
OVER
34.) Lisa picked a chip from a bag, 20 times, with replacement. She got 8 red chips, 3
blue chips, 5 black chips and 4 green chips. If she picks 100 times more, how
many green chips can she expect to get?
4
= x
20
100
20 = x
400 = 20x
20
20
#35-39
The table below shows the number of students that were absent last week.
Days of the Week
Monday
Tuesday
Wednesday
Thursday
Friday
Number of Students
24
35
24
42
119
35.) Determine the mean number of students.
24 + 35 + 24 + 42 + 119 = 244
__________
244 ÷ 5 = 48.8
36.) Determine the median number of students. __________
24, 24, 35, 42, 119 median is 35!
37.) Determine the mode.
__________
24
38.) Is there an outlier? If yes, which number(s)?
Yes,
119__________
39.) Which measure(s) of central tendency best represent this data? Explain.
____________________________________________________________
Median is the best measure. There is an outlier so it cannot be
the mean and it cannot be the mode because it is the lowest
____________________________________________________________
number.
Day 10
40.) The bar graph below shows the rainfall, in inches, over 4 months.
Which conclusion is misleading
from the bar graph?
D
A There was about 25 inches of
rainfall in January.
B The least amount of rainfall
was in March
C In April, it rained about 4 inches
less than it rained in February
D There was six times as much rain
in February as there was in March.
41.) Mrs. Gaeta did a survey of her students’ favorite ice-cream. She found the
following:
 18 students like mint chip
 13 students like fudge brownie
 8 students like both
Complete the Venn Diagram below to represent the above information.
FAVORITE ICE-CREAM
mint chip
fudge brownie
10
5
8