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Math 7 Sem 2 Exam Review

Total questions: 170

Worksheet time: 11hrs 30mins

Name
Class
Date
1.
x + 5 > 7
a)
x > -2
b)
x > 2
c)
x > 12
d)
x > -12
2.

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

3.
4x + 1 > 13
a)
x > 48
b)
x < 3
c)
x > 3.5
d)
x > 3
4.

Solve the following inequality. Show your algebraic work!

a)

b > 6

b)

b < -4

c)

b > 1

d)

b < -12

5.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
6.
Which is the solution of
-4 - 6m > -9m + 8?
a)
m < -4
b)
m > 4
c)
m < 15
d)
m > 36
7.

Which numbers are possible solutions to the inequality... (SELECT ALL THAT APPLY)

-5x + 10 < 30

a)

0

b)

100

c)

-100

d)

-3

e)

-4

8.

When graphing do you use an open or closed circle for > ?

a)

Open

b)

Closed

9.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
10.
You flip an inequality symbol when you...
a)
subtract
b)
multiply and divide only
c)
multiple by a negative number
d)
multiple or divide by a negative number
11.
-3 + x ≤ -11
a)
x ≤ -8
b)
x ≤ 8
c)
x ≥ -8
d)
x ≥ 8
12.
6x - 4 ≥ 26
a)
x ≥ 3.67
b)
x ≥ 5
c)
x < 5
d)
x ≤ 5
13.
3x - 2 < 13
a)
x > 3.67
b)
x > 5
c)
x < 5
d)
x < 3.67
14.
4x - 3 < -1x + 12
a)
x > 3
b)
x < 3
c)
x < 5
d)
x > 5
15.
.5(x - 8) < 2 
a)
x > 20
b)
x < 20
c)
x > 12
d)
x < 12
16.
3(x - 3) ≤ 2(x + 2)
a)
x ≤ -5
b)
x ≥ 5
c)
x ≥ 13
d)
x ≤ 13
17.

Solve the inequality.

30 + n ≥ 50

a)

n > 50

b)

n ≥ 80

c)

n < 30

d)

n ≥ 20

18.
-4 + y < -8
a)
y < 4
b)
y < -12
c)
y < -4
d)
y < 12
19.
-8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
20.
Do you flip the sign?
-3x + 2  ≤  22
a)
YES
b)
NO
21.
You flip an inequality symbol when you...
a)
subtract
b)
multiply and divide only
c)
multiple by a negative number
d)
multiple or divide by a negative number
22.
Does the sign need to flip when solving?
8y < (-40)
a)
YES
b)
NO
23.
Which could be a possible solution?
a)
8
b)
18
c)
16
d)
22
24.
Solve:
a)
x < 24
b)
x < 3
c)
x > 24
d)
x < 10.3333....
25.

4h<8

a)

h<32

b)

h<2

c)

h<4

d)

h>2

26.
-20>18+m
a)
M<-38
b)
M<38
c)
M>38
27.
10 ≥ x - 3
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
28.
You pay 5% tax for a 100,000 peso car. How much did you pay in taxes? 
a)
10,000 pesos
b)
5,000 pesos
c)
50 pesos
d)
50,000 pesos
29.
What percent of 32 is 10?
a)
0.32%
b)
32%
c)
0.3125%
d)
31.25%
30.
75 is what percent of 150?
a)
50%
b)
20%
c)
200%
d)
0.125%
31.
You pay 5% tax for a 100,000 peso car. How much did you pay in taxes? 
a)
10,000 pesos
b)
5,000 pesos
c)
50 pesos
d)
50,000 pesos
32.
What percent of 32 is 10?
a)
0.32%
b)
32%
c)
0.3125%
d)
31.25%
33.
75 is what percent of 150?
a)
50%
b)
20%
c)
200%
d)
0.125%
34.
You talk a car salesman down 20% of the original price. The original price of the car is $5,000 dollars. How much money did you save?
a)
$1,000
b)
$100
c)
$500
d)
$10,000
35.
You got 23 correct on a quiz that was out of 25 points. What percent did you get correct?
a)
78%
b)
76%
c)
89%
d)
92%
36.
26 is 5% of what number?
a)
1.3
b)
2.5
c)
25.95
d)
520
37.
Sarah earns $20 a day working after school. She spent 30% of her daily earnings on Monday. How much money did she spend on Monday?
a)
$1.40
b)
$6
c)
$0.60
d)
$14
38.
You ran 6% of a 20 kilometer race. How many kilometers have you run?
a)
1.2
b)
3.6
c)
0.6
d)
0.12
39.
You have run 5 kilometers, which is 15% of a race. How many kilometers total is the race?
a)
52
b)
31.2
c)
66.6
d)
33.3
40.
You spend 20% of your life sleeping. You are 14 years old. How long in years have you spent sleeping?
a)
3.2
b)
1.4
c)
2.8
d)
2.2
41.
Find the percent change.
Original amount:  10
New amount: 12
a)
20%
b)
12%
c)
15%
d)
50%
42.
Find the percent change.
Original amount:  16
New amount: 11
a)
5%
b)
31%
c)
.3%
d)
56%
43.
Find the percent increase. Round to the nearest percent.
From $5 to $8 
a)
40%
b)
60%
c)
55%
d)
65%
44.
Find each percent increase. Round to the nearest percent.
From 13 friends to 14 friends  
a)
20%
b)
12%
c)
15%
d)
8%
45.
Find each percent decrease. Round to the nearest percent.
From $80 to $64 
a)
35%
b)
10%
c)
20%
d)
25%
46.
Find each percent decrease. Round to the nearest percent.
From 90 points to 45 points 
a)
55%
b)
50%
c)
45%
d)
35%
47.
The regular price of a scooter is $65.50. It is on sale for $52.40. What is the percent decrease from the regular price to the sale price of the scooter? 
a)
35%
b)
25%
c)
30%
d)
20%
48.
The number of people signed up for a bus trip increased from 32 to 45. What is the percent increase? Round to the nearest percent.
a)
52%
b)
41%
c)
42%
d)
45%
49.
Mrs. Ciampa had 27 students in her class last year and this year she had 30 students in her math class. What is the percent of change?
a)
24%
b)
20%
c)
11%
d)
50%
50.
Tickets to Disney World are $100.The price is going to increase on January 1. What is the percent of change if the cost increases to a $120?
a)
25%
b)
18%
c)
20%
d)
50%
51.
Find the volume of the figure?
a)
4003 cm3
b)
336 cm3
c)
36 cm3
d)
412 cm3
52.
Find the volume of the figure?
a)
1100 in3
b)
1600 in3
c)
1200 in3
d)
1500 in3
53.
Find the volume of the figure?
a)
460 cm 3
b)
660 cm 3
c)
60 cm 3
d)
360 cm 3
54.

Find the volume of the sphere

a)

14.14m3

b)

113.1m3

c)

17.16m3

d)

17.7m3

55.

Find the volume of the sphere

a)

5575.28cm3

b)

44602.24cm3

c)

4188.79cm3

d)

1520.53cm3

56.

Find the surface area of the sphere

a)

11494.04cm2

b)

2463.01cm2

c)

1436.76cm2

d)

615.75cm2

57.

Find the surface area of the sphere

a)

113.1cm2

b)

452.39cm2

c)

904.78cm2

d)

268.08cm2

58.
Find the surface area.
a)
12 m2
b)
16 m2
c)
24 m2
d)
20 m2
59.
What is the volume of the figure?
a)
V = 1800 mm3
b)
V = 600 mm3
c)
V = 900 mm3
d)
V = 1200 mm3
60.
What is the volume of the figure?
a)
V = 840 ft3
b)
V = 420 ft3
c)
V = 140 ft3
d)
V = 280 ft3
61.
Find the volume to the nearest hundredth.
a)
12.57 ft3
b)
37.68 ft3
c)
18.84 ft3
d)
6.28 ft3
62.
Find the volume of the figure.
a)
150.80 cm³
b)
75.36 cm³
c)
452.16 cm³
d)
152 cm³
63.

Find the surface area of a cone with a slant height of 5 and a radius of 3.

a)

56.85

b)

47.12

c)

75.36

d)

67.48

64.
Probability is ...
a)
the chance that some event will occur.
b)
a game that involves coins.
c)
a guarantee.
65.
Probability can be written as ...
a)
a fraction
b)
a decimal
c)
a percent
d)
all of the above
66.
What is the probability of flipping a coin and getting heads?
a)
1/2
b)
1/3
c)
1/4
d)
Never, Tails never fails.
67.
Experimental Probability is:
a)
What Will happen 
b)
What actually happens
c)
What should happen
d)
What I think Happens
68.
Theoretical Probability is?
a)
What Should happen
b)
What does happen
c)
What Will Happen
d)
What I want to Happen
69.
A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?
a)
5/6
b)
1/2
c)
1/3
d)
1/6
70.
The chart below represents the number of marbles in a jar.
P(green) = 
a)
5/19
b)
10/28
c)
5/14
71.
A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?
a)
3/10
b)
3/9
c)
1/9
d)
1/3
72.
What is the probability of selecting an orange candy?
a)
0%
b)
25%
c)
50%
d)
100%
73.
P(not A) = 
*Remember to simplify.*
a)
6/8
b)
3/4
c)
2/8
d)
1/4
74.
The probability of it raining today is 30%.  What is the probability that it will NOT rain?
a)
30%
b)
70%
c)
100%
d)
0%
75.

Find the experimental probability:

Roll dice: 1, 3, 3, 4, 4

P(1) =

a)

3/5

b)

1/6

c)

2/5

d)

1/5

76.

There are 4 jacks in a standard deck of 52 playing cards. If Peyton selects a card at random, what is the probability that it will be a jack?

a)

1/13

b)

1/52

c)

1/2

d)

12/13

77.

The experimental probability that Jonah will catch a fly ball is equal to 7/8. About what percent of the time will Jonah catch a fly ball?

a)

55%

b)

66%

c)

77%

d)

88%

78.

Ariana's Office Supply shop sells 2 types of notebooks. Each notebook is offered in red, blue, or yellow. If a notebook is selected at random, how many different possibilities are in the sample space?

a)

4

b)

6

c)

8

d)

16

79.

Kyleigh saw 10 blue, 8 red, and 42 white cars drive by her house in 1 hour. What is the experimental probability that the next car the drives by her house will not be a white car?

a)

.5

b)

.6

c)

.3

d)

.7

80.

Brooke has a box of crayons. 45 are yellow, 12 are green, 25 are blue, and 7 are red. If Brooke selects a crayon at random, which color crayon would she be most likely to select?

a)

yellow

b)

green

c)

blue

d)

red

81.

A restaurant surveys customers with the following results: 8 pizzas, 12 hamburgers, 14 pastas, and 6 steaks. What is the experimental probability of pizza or steak?

P(pizza or steak)

a)

20%

b)

65%

c)

50%

d)

35%

82.

If the probability of an event is 0.99, which of the following best describes the event?

a)

The event will never occur

b)

There is a small chance that the event will occur

c)

The event is likely to occur

d)

The event will definitely occur

83.

Alyssa can choose between 3 sweaters and 4 skirts. If she selects 1 sweater and 1 skirt, how many possible outcomes are in the sample space?

a)

7

b)

12

c)

81

d)

10

84.

The experimental probability that an SUV will pass by Ariel's store is 0.4. If 500 cars pass by Ariel's store, how many can she expect to be SUVs?

a)

200

b)

100

c)

20

d)

150

85.

Rylee is on a weekend fishing trip with her family. So far she has caught 4 trout, 10 catfish, and 13 bluegill. What is the probability that the next fish that Rylee catches will be a catfish?

a)

37%

b)

15%

c)

48%

d)

38%

86.

Lana and Jeff each randomly surveyed 15 students about their favorite types of movies. What would you expect to see in the samples? Select all that apply.

a)

Different members are found in each sample.

b)

Some members may possibly overlap in each sample.

c)

Each sample gave the same responses.

d)

Both samples could be representative of the population.

e)

Both samples include only Lana and Jeff's friends.

87.

The principal at Marina Middle School wants to determine if the 120 students in the seventh grade prefer to visit Catalina Island or Camp Mosaic for their end-of-year trip. Which of the following is a representative sample of the population? Select all that apply.

a)

20 sixth-grade students, 20 seventh-grade students, and 20 eighth-grade students

b)

10 seventh-grade boys and 10 seventh-grade girls

c)

25 seventh-grade students

d)

15 seventh-grade boys and 5 teachers

e)

25 students from the school

88.

The city council in Middlefield wants to know if residents are in favor of a traffic camera at the main intersection in town. Which example is likely to produce a representative sample?

a)

Drivers who reside in Middlefield

b)

Residents randomly chosen from the town register

c)

All residents of Middlefield

d)

All people with a five-letter last name

89.

Students in Mrs. Walsh’s math class wanted to know the favorite snacks of students in the school. How could they generate a random sample to survey?

a)

Line up the students by height and choose the first 20 students.

b)

Use the school roster and randomly choose 50 boys.

c)

Obtain an alphabetized list of all the students in the school and select every seventh student.

d)

Place all the names of the students in Mrs. Walsh's math class in a hat and randomly select 10 students.

90.

Vanessa’s class is studying the number of car commercials on television between 6 p.m. and 8 p.m. for five days. Which is the best sample for Vanessa to use?

a)

The commercials between 6 p.m. and 8 p.m. on each day

b)

The first five commercials each of the five days

c)

The commercials shown between 6 p.m. and 7 p.m. on a randomly chosen day

d)

The commercials shown between 6:30 p.m. and 7:30 p.m. on three randomly chosen days

91.

Trevor's science class is studying the rainfall on the first day of each month for one year. Explain why studying the rainfall on the first day of​ September, October, and November is not a random sample.

a)

These are three consecutive months. The sample should be spread out across the whole year and include more than three months.

b)

These are three specific months which is too large of a sample to be a random sample.

c)

The three months mentioned do not count.

d)

In these three​ months, the rainfall on the first day of the month is too small to measure.

92.

To predict the performance of her first period class on their next quiz, a teacher randomly selects eight students from the class and takes the mean of their scores on the last quiz. Is this sample representative of the​ class's performance on the quiz?

a)

​No, because the students were chosen from the best students in the class.

b)

​Yes, because the students were chosen based on their class average.

c)

​No, because it is a simple random sample.

d)

​Yes, because it is a simple random sample.

93.
8.  Find the unit rate of $97.50 for 15 pizzas.
a)
$6 per pizza
b)
$82.50 per pizza
c)
$5.50 per pizza
d)
$6.50 per pizza
94.
A 7-pack of DVDs costs $23.31. What is the unit price?
a)
$3.33 per DVD
b)
$3.03 per DVD
c)
$2.33 per DVD
d)
$3.23 per DVD
95.
Sarah went into the local Dollar Store because they have so many deals!! The following deal that she was debating is 4 bars of soap that cost $5. What would 8 bars cost her?
a)
$10
b)
$11
c)
$12
d)
$13
96.
In the equation y = 14x, what is the constant of proportionality?
a)
y
b)
x
c)
14
97.
Find the unit rate of 624 calories in 3 servings.
a)
1,872 calories per serving
b)
208 calories per serving
c)
624 calories per serving
d)
621 calories per serving
98.
What is the constant of proportionality for this table?
a)
1/9
b)
9
c)
8
99.
Write an equation for this situation.
a)
y=9.75x
b)
y=19x
c)
y=19.25x
d)
y=9.5x
100.
Write an equation for this relationship.
a)
y=18x
b)
y=18.50x
c)
y=22.50x
d)
y=22x
101.
Craig earns extra money as a lifeguard. He earns $37 for 4 hours and $64.75 for 7 hours.  What is the constant of proportionality? 
a)
$37
b)
$64.75
c)
$9.25
d)
$18.50
102.
If Reynaldo saves $48 in 8 days, how much could he save in two weeks?
a)
$102
b)
$84
c)
$56
d)
$6
103.
If Justin ordered 5 ice cream bars for $12.25, how much was each ice cream bar?
a)
$2.45
b)
$4.00
c)
$7.25
d)
$1.25
104.
In order for a graph to represent a direct variation the line must be straight and go through the _________.
a)
y-axis
b)
origin
c)
x-axis
d)
1st quadrant
105.
Which graph is proportional?
a)
A
b)
B
c)
None of the graphs
d)
All of the graphs are proportional
106.
A 6-ounce package of fruit snacks contains 45 pieces. How many pieces would you expect in a 10-ounce package?
a)
75 Pieces
b)
27-ounces
c)
27 pieces
d)
75-ounces
107.
The waiting time to ride a roller coaster is 20 minutes when 150 people are in line. How long is the waiting time when 240 people are in line?
a)
32 People
b)
32 Min.
c)
12.5 Min.
d)
12.5 People
108.
Write an equation for this relationship.
a)
y = 4x
b)
y = 1/8x
c)
y = 1/4x
d)
y = 8x
109.
33 = 4a - 7
a)
a=-10
b)
a=10
c)
a=4.5
110.
-3a + 8 = 14
a)
a= -2
b)
a= -7.5
c)
a= 2
d)
a= 6
111.
3 + (1∕4)a = 31
a)
a= 28
b)
a= 112
c)
a= 7
d)
a= 67
112.
0 = 8z + 8 
a)
-1
b)
1
c)
0
d)
8
113.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4 
114.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
115.
-11 + 3(b + 5) = 7
a)
1
b)
-1
c)
3
d)
-3
116.
-(n - 8) = -2
a)
6
b)
10
c)
-10
d)
-6
117.
Solve.
(2x - 3) / 4  = 9
a)
x = 24
b)
x = 12
c)
x = 17.5
d)
x = 19.5
118.
Solve the equation:
x/3+ 10 = 15
a)
75
b)
15
c)
25
d)
5
119.
What is the solution to this equation?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
120.
Solve:
3x + 15 = 3(x + 5)
a)
No Solution
b)
x = 15
c)
Infinitely Many Solutions
121.
3r - 5 = 2r
a)
No solution
b)
Infinitely many solutions
c)
r = 5
122.

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.

3x - 7 = 3(x - 3) + 2

a)

one

b)

no solutions

c)

infinite solutions

123.
12 (x + 3 ) = 4 (2x + 9 ) +4x
a)
No Solution
b)
One Solution
c)
Infinite Solutions
124.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
125.
a)
15
b)
3
c)
-15
d)
-3
126.
Do I need to flip my sign?
-3x  ≥ 12
a)
Yes
b)
No
127.
Solve for k. 

7k – 2 ≥ -9
a)
k ≤ -1
b)
k≤1
c)
k≥1
d)
k ≥ -1
128.
Solve and graph the inequality.
77 ≤ 5 + 8n
a)
A
b)
B
c)
C
d)
D
129.
Solve for the variable. 3x=-27
a)
x=9
b)
x=-30
c)
x=-9
d)
x=-24
130.
Translate into an expression:
two more than three times x 
a)
3x-2
b)
2>3x
c)
2+3x
d)
2(3x)
131.
Translate into an expression:
4 less than two times a number 
a)
4-2x
b)
4<2x
c)
2x-4
d)
2-4
132.
Simplify:
5(3x+1)
a)
15x+1
b)
15x+5
c)
8x+1
d)
8x+6
133.
Solve: 3(x-4) = -3
a)
3
b)
-3
c)
5
d)
-5
134.
Solve for d:
-7(6 + d) = 49
a)
13
b)
1
c)
-1
d)
-13
135.
Solve for x:
8x - 10 = -34
a)
4
b)
3
c)
-3
d)
-24
136.
What is the first step in solving this equation:
5x + 7 = 12
a)
Divide by 5
b)
Subtract 5
c)
Multiply by 7
d)
Subtract 7
137.
What is the first step to complete when solving this equation?
10 - 3y = 4
a)
Add 10
b)
Subtract 10
c)
Add 3
d)
Divide by -3
138.
Solve for w:
-6w + 1 = -11
a)
2
b)
1.2
c)
12
d)
-2
139.
Solve for b:
.5b + 4 = 20
a)
8
b)
48
c)
24
d)
32
140.
Translate: 
Four times a number plus six is 30.
a)
4 + 6 = 30
b)
4x + 6 = 30
c)
x + 4 times 6 = 30
d)
30 = 4x
141.
Solve:
2(2t - 3) = 6(t + 2)
a)
t=9
b)
t=4
c)
t=-9
d)
t=-3
142.
Solve for W:
a)
9
b)
11
c)
15
d)
10
143.
Solve for n:
n+2=-14-n
a)
6
b)
8
c)
-8
144.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
145.
4x + 7 = 23
a)
x = 16
b)
x = 4
c)
x = 9
d)
x = 12
146.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
147.
Solve for k:
3k + 5 = 23
a)
k = 4
b)
k = 5
c)
k = 6
d)
k = 7
148.

The main point to solving an equation is to....

a)

get x by itself

b)

check the solution.

c)

guess and check.

d)

hope you get the right answer.

149.

The inverse of addition is...

a)

division

b)

multiplication

c)

subtraction

d)

addition

150.

The inverse of division is...

a)

subtraction

b)

multiplication

c)

addition

d)

division

151.
x / 7  + 14 = 22
a)
x = -56
b)
x = 56
c)
x = -9
d)
x = 9
152.
Use the Distributive Property to solve the equation.
4( x + 2) = 16
a)
-2
b)
0
c)
1
d)
2
153.

9(x+3)=27

a)

x=0

b)

x=1

c)

x=9

d)

x=3

154.

What operation would you use to finish this problem?

3x = 9

a)

addition

b)

subtraction

c)

multiplication

d)

division

155.

What is the first question you should ask when solving a two step equation?

a)

Should I use a calculator?

b)

Do we have an addition or subtraction problem?

c)

Is this going to be on the quiz?

d)

Should I multiply or divide?

156.
Solve for f:
f - 4 = 6f + 26
a)
f = -5
b)
f = 5
c)
f = 6
d)
f = -6
157.
Solve for x:
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
158.
Solve for x:
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
159.
Solve the equation:
7x - 4 = 3 + 8x
a)
x = 7
b)
x = -7
c)
x = 2/7
d)
x = 11
160.
Solve the equation
4x - 5x + 9 =5x - 9
a)
x = -3
b)
x = 9
c)
x = 3
d)
x = -9
161.

14p - 8 = 22 + 20p

a)

-5

b)

5

c)

30

d)

-30

162.

The goal of solving a one, two, or multi-step equations is to:

a)

Find the constant

b)

Find the coefficient

c)

Find the value of the variable

d)

Be confused

163.
2x = x + 3
a)
6
b)
3
c)
2
d)
x
164.
7x = 3x + 24
a)
6
b)
10
c)
14
d)
4
165.
30 + 6t = 11t
a)
3
b)
5
c)
6
d)
30
166.
5 - 2t = 3t
a)
1
b)
5
c)
3
d)
2
167.
6z = 49 - z
a)
49
b)
-7
c)
6
d)
7
168.
n - 1 = -11
a)
5
b)
10
c)
-10
d)
-11
169.
a)

x = 1

b)

x = 2

c)

x = 1/2

d)

x = 3/2

170.

Solve for a:

9+2a = -3-4a

a)

a=5

b)

a= -1

c)

a= -2

d)

a=2

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