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7th Math Review

Total questions: 122

Worksheet time: 6hrs 3mins

Name
Class
Date
1.
The distance between two cities on a map is 4.125 inches.  Find the actual distance if the scale on the map is 2 inches = 40 miles.
a)
165 miles
b)
50 miles
c)
82.5 miles
d)
41.25 miles
2.
Amanda made a scale drawing of a square garden, which has a side length of 25 feet. She used the scale 2 inches = 5 feet.

What will be the area of the scale drawing?
a)
10 in²
b)
25 in²
c)
100 in²
d)
484 in²
3.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
4.
Is x = 12 a given solution to the inequality.
x > 5
a)
TRUE
b)
FALSE
5.
-8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
6.
10 ≥ x - 3
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
7.
A football team gains 2 yards on the first play, loses 3 yards on the second, loses 5 yards on the third play and finally gains 4 yards on the fourth play.  What is the teams overall gain or lose after four plays?
a)
+14 yards
b)
-2 yards
c)
+2 yards
d)
-14 yards
8.
 Which expression represents a negative number?
a)
5 − (-6)
b)
-12 ÷ -6
c)
(-3)3
d)
(-2)×(-4)
9.
  Solve:
12 - 3y = -6
a)
6
b)
-6
c)
2
d)
-2
10.
Which value below is a solution to the following inequality?
-2y + 3 < 7
a)
-6
b)
-2
c)
-3
d)
-1
11.
Shannon has a bag of jelly beans. She removed one jelly bean, recording the color, and then replaced it. She repeated the process several times and record her results in the table. What is the experimental probability of her selecting a red jelly bean?
a)
11/33
b)
1/3
c)
1/4
d)
18/26
12.
P(not A) = 
*Remember to simplify.*
a)
6/8
b)
3/4
c)
2/8
d)
1/4
13.
Find the volume of the rectangular prism.
a)
120
b)
360
c)
40
d)
148
14.
Find the volume of the figure. Round to the nearest tenth.
(Hint: Area of a triangle = b × h ×½)
a)
80 cm³
b)
40 cm²
c)
80 cm2
d)
40 cm³
15.
You drive 25 miles in one hour. At this rate, how far will you drive in 3 hours?
a)
25 miles
b)
50 miles
c)
125 miles
d)
75 miles
16.
In 2015, the population of the United States was about 320 million people.
About 7 out of 10 Americans live in urban areas. How many Americans live in or near large cities?
a)
224 million
b)
32 million
c)
96 million
d)
10 million
17.
An LCD TV is on sale for 24% off.
If the original price was $800, find the sale price. 
a)
$192
b)
$992
c)
$608
d)
$1056
18.
Solve for the area of the composite figure.
(Hint: Area of a circle = π × r2)
a)
257.04 yd2
b)
596.16 yd2
c)
200.5 yd2
d)
370.08 yd2
19.
A school randomly chose ten English teachers and asked them which type of juice their students would prefer. Which reason best shows why this sample is biased?
a)
The sample didn't include students.
b)
The sample is too small.
c)
The sample can only be accurate if each teacher is included in the sample
20.
At a middle school, the 7th graders will conduct a survey for where to go on a field trip. Which method will result in the least biased decision?
a)
to randomly ask 8th grade students who went on a field trip last year
b)
to randomly choose some 7th grade students to select a location
c)
to ask all 7th grade teachers and administrators for a location
d)
to ask the student council to choose a location
21.
Which scenario would produce the least biased results?
a)
asking athletes at a gym what their favorite television show is
b)
asking shoppers at a store where their favorite place to shop is
c)
asking fans at a baseball game who their favorite baseball team is
d)
asking students in a college library what their favorite college sports team is
22.
What decimal is equivalent to 1/2?
a)
0.5
b)
0.12
c)
1.2
d)
0.4
23.
What shape will the vertical cross -section of a cylinder be?
a)
Circle
b)
Triangle
c)
Rectangle
d)
Ellipse
24.
What shape will the horizontal cross-section of a cone be?
a)
Dome
b)
Circle
c)
Pyramid
d)
Triangle
25.
Which of the following is equivalent to 8(5f - 7) + 3f ?
a)
43f - 7
b)
-13f
c)
43f - 56
d)
40f -7 + 3f
26.
What is the name of the property shown below?
(9 x 2) + (9 x 10) =
9 x (2 + 10)
a)
identity
b)
associative
c)
commutative
d)
distributive
27.
4x + 7 = 23
a)
x = 16
b)
x = 4
c)
x = 9
d)
x = 12
28.
A diver was 40 feet below the surface of the water. A fisherman was casting off a dock right above the diver that was 12 feet above the surface of the water. How far apart are the diver and the fisherman?
a)
28 feet
b)
-28 feet
c)
52 feet
d)
-52 feet
29.
. If Michelle rollerblades around a circular track with a radius of 80 meters, how far does she skate? Use 3.14 for π. Round to the nearest tenth. 
a)
80 x 80 x 3.14
b)
80 x 2 x 3.14
c)
80 x 3.14
d)
80 / 2 x 3.14
30.
A jar contains 3 pennies, 5 nickels, 4 dimes, and 6 quarters. If a coin is selected at random, what is the probability of selecting a penny? 
a)
5/18
b)
2/9
c)
1/3
d)
1/6
31.
a)
240 cubic yards
b)
120 cubic yards
c)
48 cubic yards
d)
30 cubic yards
32.

Simplify: 6.78 + 11.9 = ?

a)
17.68
b)
17.69
c)
18.68
d)
16.79
33.

Simplify: -13.4 - (-1.784) = ?

a)
11.616
b)
15.184
c)
-11.616
d)
-15.184
34.
Change this improper fraction into a mixed number:
47/5
(Use your multiplication chart)
a)
9 ⅖
b)
8  7/5
c)
9 ⅕
d)
8 ⅚
35.
Change this mixed number into an improper fraction:
3 ⅝
a)
29/8
b)
37/8
c)
24/5
d)
32/8
36.

The distance around a circle is called what?

a)

area

b)

radius

c)

diameter

d)

circumference

37.

Which of the following in an equation?

a)

6x + 2x - 14

b)

6x + 10 = 4

c)

3x + 5c - 23

d)

10y - 6

38.

What is the definition of a variable?

a)

the number in front of a variable

b)

a number with no variable

c)

a letter that represents an unknown number

d)

the number used to raise to a power

39.

Which of the following is furthest to the left on the number line?

a)

-6.5

b)

-6

c)

-5

d)

6.7

40.

Solve for x:


3x + 14 = 26

a)

x = 6

b)

x = 3

c)

x = 1

d)

x = 4

41.

What is the diameter of this circle?

a)

12 cm

b)

6 cm

c)

24 cm

42.

What is the first step to solve this equation?


-11 + 3x = 12

a)

subtract 3x from both sides

b)

subtract 11 from both sides

c)

divide each side by 3

d)

add 11 to both sides

43.
Solve for x
a)
x=6
b)
x =1/6
c)
x = 7
d)
x=9
44.
Pat needs 14 sticks of pepperoni to make 28 pizzas.  How many sticks of pepperoni are needed to make 36 pizzas?  
a)
15 pizzas
b)
252 sticks
c)
18 sticks
d)
18 pizzas
45.

What is the absolute value?

a)

The opposite of a number.

b)

The number that when added together equals 0.

c)

The distance a number is from zero.

d)

The number that when added together equals 1.

46.
Simplify the expression:
6 + 2(7x - 3) 
a)
12 + 7x
b)
14x
c)
8x + 6
d)
9 + 7x
47.
6z + 3 -4z = 9
a)
z = 3
b)
z = 60
c)
z = 30
d)
z = 1
48.
Which expression represents the distance between P and Q on the number line?
a)
|-2+2|
b)
|2- -2|
c)
2+ -2
d)
|2| - |-2|
49.

A store sells new video games for $55 each. Used vide games sell for $12 each. Josh is buying 3 new video games and x used video games. Which equation can be used to find y, the total price Josh must pay in dollars?

a)

y = 12x + 55

b)

y = 12x + 165

c)

y = 55x + 12

d)

y = 165x + 12

50.

Which number line represents the solution to the inequality 125x + 200 ≥ 1200

a)
b)
c)
d)
51.

A farmer crops 48 acres of land. The circle graphs shows the percentages of land used for some of the different types of crops. How many acres of land are used for corn?

a)

30

b)

70

c)

14.4

d)

144

52.
Which of the following is an expression?
a)
6x + 2x = 6
b)
10 = 5x
c)
2x + 6x - 10
d)
6x2 + 10 = 25
53.

Congruent means

a)

double or twice

b)

added together

c)

same or equal

54.
In the equation y = 14x, what is the constant of proportionality?
a)
y
b)
x
c)
14
55.
What is the constant of proportionality for this table?
a)
1/9
b)
9
c)
8
56.
Write an equation for this situation.
a)
y=9.75x
b)
y=19x
c)
y=19.25x
d)
y=9.5x
57.
Which graph is proportional?
a)
A
b)
B
c)
None of the graphs
d)
All of the graphs are proportional
58.
What is the constant of proportionality? 
a)
5
b)
1/5
c)
10
d)
2
59.
What is the constant of proportionality?
a)
7
b)
3.3
c)
3/10
d)
14
60.
What is the constant of proportionality? 
a)
4
b)
2
c)
1/4
d)
-4
61.
What is the constant of proportionality? 
a)
3
b)
10
c)
30
d)
1/10
62.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$200 earned for every 2 hours worked
is the unit rate
c)
$500 is earned for every 8 hours worked
d)
$300 is earned after working 4 hours
63.
What makes a graph proportional?
a)
Straight line
b)
The line goes through the origin
c)
Curvy line
d)
Straight line and the line goes through the origin
64.
A proportional relationship can be written as an equation in the form ____ = _____  _____
a)
y = k+x
b)
y = k-x
c)
y = kx
d)
y = k/x
65.

Identify the constant of proportionality.

a)

k = 25

b)

k = 50

c)

k = 100

d)

k = 1/50

e)

none (not proportional)

66.

Probability is a number that describes the...

a)

relationship between two sets of data.

b)

percent of change.

c)

distance around a figure.

d)

likelihood that an event will occur.

67.

Which event has a probability of zero or impossible to happen?

a)

Rolling a 7 on a 6 sided dice.

b)

Tossing a coin and landing on heads.

c)

Rolling an even number on a dice.

d)

The sun rising in the morning.

68.

According to the meteorologist, there is a 80% chance of rain on Monday. This means that the chance of rain is _________.

a)

Certain

b)

Likely

c)

Unlikely

d)

Impossible

69.
How many total outfit options are represented?
a)
12
b)
22
c)
3
70.

What is the probability that you will get plain crust with ham on your pizza?

a)

1/8

b)

1/2

c)

1/10

d)

2/10

71.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
72.

What is the value of x?

a)

15

b)

16

c)

18

d)

19

73.
What is the measure of the missing angle?
a)
39°
b)
129°
c)
119°
d)
129°
74.
Find the m∠1
a)
67
b)
113
c)
180
d)
23
75.
Which box and whisker plot has the smallest lower quartile (Q1)?
a)
Top plot
b)
Bottom plot
76.
6. Which city has a higher median?
a)
Millersburg
b)
Arcadia
77.
Find the median of plot B
a)
30
b)
14
c)
28
d)
16
78.
What is the difference in the upper extremes of the two plots?
a)
18
b)
40
c)
22
d)
16
79.
What is the interquartile range of plot A?
a)
6
b)
8
c)
15
d)
28
80.

Which city has a lower IQR?

a)

City A

b)

City B

81.

Which data set shows a greater spread?

a)

Chess Club

b)

Checkers Club

c)

They have the same spread.

d)

You cannot tell from the box plots.

82.
Use the box-and-whisker plots to determine which statement is not true.
a)
The interquartile range of the men’s ages is greater than the interquartile range of the women’s ages.
b)
The youngest member of the club is a woman.
c)
The median of the men’s ages is greater than the median of the women’s ages.
d)
The range of the men’s ages is greater than the range of the women’s ages.
83.
4 = 2(x + 3)
a)
1/2
b)
7/2
c)
-1
d)
5
84.
3y+6+4y-7=-8
a)
y=-1
b)
y=-8
c)
y=1
d)
y=7
85.
-2x-7+3x=10
a)
x=-2
b)
x=3
c)
x=10
d)
x=17
86.
Solve for v.
a)
60
b)
-3
c)
15
d)
3
87.
Does a triangle with these side lengths exist?
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
88.
What is a possible third side to a triangle with side lengths of 13 and 4?
a)
9
b)
12
c)
8
d)
5
89.
Name the largest angle in this triangle.
a)
∠D
b)
∠E
c)
∠F
90.
The longest side of a triangle would be located where on a triangle?
a)
Across from the smallest angle
b)
Across from the largest angle
c)
Cannot tell.
d)
Adjacent to the smallest side.
91.
The smallest angle would be located where in a triangle?
a)
Across from the smallest side.
b)
Across from the largest side
c)
Cannot tell
92.

Determine what type (if any) of a triangle would have the following side lengths:


4, 6, 15

a)

acute

b)

obtuse

c)

right

d)

not a triangle

93.

In a triangle, what is the sum of the interior angles?

a)

100%

b)

180 degrees

c)

it varies

d)

360 degrees

94.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
95.
What is the value of x?
a)
60
b)
5
c)
10
d)
-3
96.
Which of the following lists all parts of the five number summary?
a)
Mean, Median, Mode, Range, and Total
b)
Minimum, Quartile 1, Median, Quartile 3, and Maximum 
c)
Smallest, Q1, Q2, Q3, and Q4
d)
Minimum, Maximum, Range, Mean, and Median
97.

What is the IQR of this data set?

9, 5, 6, 3, 1, 8

a)

3.5

b)

4

c)

5

d)

6.5

98.
Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is Roger's median score?
a)
127
b)
155
c)
156
d)
193
99.
50% of the Cruisers attended between 7 and 16 car shows.  True or False?
a)
True
b)
False
100.

What is the minimum of the data set:

36, 29, 32, 39, 24, 20, 24, 30, 45, 41

a)

20

b)

24

c)

12

d)

45

101.

What is the maximum of the data set:

36, 29, 32, 39, 24, 20, 24, 30, 45, 41

a)

20

b)

24

c)

45

d)

51

102.
When finding median and the middle has two numbers instead of one, what do you do?
a)
Take the higher number
b)
Take the lower number
c)
Take both
d)
Take the average
103.

What is the Q1 of this data set?

6, 7, 2, 1, 5, 2, 1, 6

a)

1

b)

1.5

c)

2

d)

2.5

104.
What is the Q3 of this data set?
6, 7, 2, 1, 5, 2, 1, 6
a)
5
b)
6
c)
5.5
d)
6.5
105.

Which group of people has 50% of the data above 5 magazines each day?

a)

Children

b)

Adults

106.

Which statements are true. Select all the correct statements.

a)

Howard County Little League has 50% of its data above 150 pitches and Wayne County Little League has 25% of its data above 150 pitches.

b)

Wayne County Little League has 50% of its data above 150 pitches and Howard Little League has 25% of its data above 150 pitches.

c)

Wayne County Little League has a higher lower quartile than Howard County Little League.

d)

Howard County Little League has a larger range the Wayne County Little League.

e)

The Inner Quartile Range for Wayne County is smaller than the Inner Quartile Range for Howard County.

107.
The dot plots compare the number of raffle tickets sold by boys and girls during a school fund-raiser. Which plot has an outlier? 
a)
Girls
b)
Boys
c)
Both Plots
d)
Neither
108.
What is the difference between the medians for the two data sets? 
a)
0 tickets
b)
2 tickets
c)
4 tickets
d)
6 tickets
109.

What is the mode of Set A?

a)

10 and 20

b)

20 and 30

c)

30 and 40

d)

40 and 50

110.

Which statement is true?

a)

Set A has the lesser range

b)

Set B has the greater median

c)

Set A has the greater mean

d)

Set B is less symmetric than Set A

111.

What do points A and E represent on the box plot?

a)

Mean and Mode

b)

Mean and Median

c)

Least and Greatest Value

d)

First and Third Quartiles

112.

What do points B and D represent on the box plot?

a)

Mean and Mode

b)

Mean and Median

c)

Least and Greatest Value

d)

First and Third Quartiles

113.

What does point C on the box plot represent?

a)

First Quartile

b)

Median

c)

Third Quartile

d)

Mean

114.
Identify the outlier for the given data?
23, 34, 27, 7, 30, 26, 28, 31, 34
a)
7
b)
23
c)
31
d)
34
115.
An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream.  A customer gets to choose a cone and a type of ice cream.  How many different 1-scoop ice cream cones can a customer order? 
a)
34
b)
2
c)
3
d)
93
116.
How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?
a)
15
b)
40
c)
80
d)
10
117.
A rental company at Best Bargain Rental costs $150, plus $0.10 per mile.  Which equation determines the number of miles (x) if the total cost was $360
a)
360 = (150)(0.10x)
b)
360 = (150) + 0.10x
c)
360 = 150 + (0.10x)
d)
360 = (150 + 0.10x)
118.
Gabby has $14 and plans to save $5 each week until she has the $64 she needs for a new jacket.  How many weeks will it take Gabby to save money for a new jacket?
a)
11 weeks
b)
10 weeks
c)
12 weeks
d)
13 weeks
119.
What is the perimeter of the triangle?
a)
12x - 3
b)
12x - 1
c)
10x + 1
d)
x(1 + 4 + 1)
120.

A car rental company charges $56 per day plus $0.30 per mile driven. John paid $86 after renting a car for one day. What equation should he use to find x, the number of miles he drove?

a)

x + 56 = 86

b)

30x + 56 = 86

c)

0.30x + 56 = 86

d)

0.30x + 86 = 56

121.

Translate into a verbal expression.
7x+6=107x+6=10  

a)

Seven times a number decreased by six is ten.

b)

The quantity of six times a number plus seven is ten.

c)

Six more than seven times a number is ten.

d)

Seven more than six times a number is ten.

122.
A group of 3 friends each have video games at their home.  Then each friend buys 5 more video games.  Now the three friends have a total of 30 video games.  How many video games did each friend start with?
a)
3(x+5) = 30
b)
x(3+5) = 30
c)
5(x+3) = 30
d)
30(3+5) = x

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