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Worksheets

Equations, Angles & Inequalities

Total questions: 56

Worksheet time: 4hrs 54mins

Name
Class
Date
1.
What are complementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect.
2.

Find the missing angle.

a)

60

b)

70

c)

50

d)

140

3.
What is the measure of the missing angle?
a)
39
b)
129
c)
119
d)
129
4.
A plumber fixed a leaky sink and charged $55 for parts and $45 per hour for labor.  The total bill was $190.  Which of the following equations can be used to find how many hours (x) the plumber spend fixing the sink?
a)
55x + 45x = 190
b)
55 + 45x = 190
c)
55 + 45 = 190x
d)
45 + 55x = 190
5.
x is no more than 13
a)
x < 13
b)
x > 13
c)
x ≥ 13
d)
x ≤ 13
6.
Supplementary Angles measure _____ degrees.
a)
180
b)
55
c)
100
d)
90
7.
 Complementary angles measures _____ degrees.
a)
45
b)
180
c)
90
d)
30
8.
Identify the type of angle shown.
a)
Complementary
b)
Supplementary
9.
What angle pair is pictured?
a)
Alternate Interior Angles
b)
Supplementary Angles
c)
Vertical Angles
d)
Corresponding Angles
10.
Are these angles an example of complementary, supplementary, or neither?
a)
Complementary
b)
Supplementary
c)
Neither
11.
Find the value of x. 
a)
17
b)
28
c)
68
d)
39.5
12.
Find the value of x. 
a)
14
b)
112
c)
108
d)
104
13.
Find the value of x. 
a)
70
b)
10
c)
3
d)
103
14.
Find the measure of the missing angle.
a)
47
b)
57
c)
53
d)
133
15.
Find the measure of the missing angle.
a)
135o
b)
35o
c)
45o
d)
30o
16.
In a triangle, how many total degrees are there?
a)
100%
b)
180 degrees
c)
it varies
d)
360 degrees
17.
Jim paid a gym membership fee of $50, plus $20 per month.  Jim has paid a total of $290 to the gym.  Which equation matches this situation?
a)
50 + 20m = 290
b)
20 + 50m = 290
c)
50 + 20 = m
d)
50m - 20 = 290
18.
Which equation would describe "two times a number plus five equals 15"?
a)
x + 5 = 15
b)
2x + 5=15
c)
x + 2(5) = 15
d)
2(x + 5) = 15
19.
To order from the kids menu a person must be no more than 12 years old.
a)
x > 12
b)
x < 12
c)
x ≥ 12
d)
x  ≤ 12
20.
A student must be at least 15 years old to obtain a driver’s permit.
a)
x > 15
b)
x < 15 
c)
x ≤ 15
d)
x ≥ 15
21.
Which inequality is represented by the words " no more than" or "at most"?
a)
<
b)
>
c)
≤
d)
≥
22.
Which inequality is represented by the words " more than"?
a)
<
b)
>
c)
≤
d)
≥
23.
Which inequality is represented by the words "less than"?
a)
<
b)
>
c)
≤
d)
≥
24.
Which inequality is represented by the words " at least"?
a)
<
b)
>
c)
≤
d)
≥
25.
Match the inequality to the word problem.Katie wants to have at least $200 in her bank account by the end of the month. She currently has $25 in her bank account. Katie makes $12 for each dog that she walks. How many dogs would Katie have to walk to reach her goal of $200?
a)
25 - 12x ≥ 200
b)
25 + 12x ≥ 200
c)
13x ≥ 200
d)
25 + 12x > 200
26.

When do you flip the inequality sign when solving a problem?

a)

When you add a positive number to a negative number

b)

When you subtract two negative numbers

c)

When you multiply or divide by a negative number

d)

When you divide by a negative number

27.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
28.
The steps in solving 5b - 6 = 24 are: 
a)
Add 6 to both sides and divide both sides by 5
b)
Add 6 to both sides and multiply both sides by 5
c)
Subtract 6 from both sides then multiply both sides by 5
d)
Subtract 6 from both sides then divide both sides by 5
29.
The objective when solving an equation is to....
a)
isolate the variable.
b)
check the solution.
c)
guess and check.
d)
Combine Like Terms.
30.
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.
31.
a)
t = 20
b)
t = -20
c)
t = -40
d)
t = 40
32.
Two angles added together to produce 90 degrees
a)
Supplementary
b)
Complementary
c)
Right
d)
Vertical
33.
These angles are...
a)
Complementary
b)
Supplementary
c)
Neither
34.
Find the missing angle.
a)
74
b)
66
c)
35
d)
16
35.
What is the measure of the missing angle?
a)
9
b)
109
c)
89
d)
96
36.
∠1 and ∠3 can best be described as - (opposite angles formed by intersecting lines.)
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
37.

Angles whose measure sum up to 180 degrees.

a)

Vertical

b)

Adjacent

c)

Complementary

d)

Supplementary

38.
An angle whose measure is exactly 90 degrees.
a)
acute
b)
vertical
c)
right
d)
straight
39.
Solve for x.
a)
20
b)
60
c)
90
d)
180
40.
A recipe calls for 1/2 cup of sugar and 1/3 cup of cinnamon. What is the measure of the two ingredients combined?
a)
5/6 cup
b)
2/5 cup
c)
1/6 cup
d)
1/5 cup
41.

Julie walks 10 dogs a week and gets paid $4.25 for each dog. How much money does she make in one week?

a)

$42.50

b)

$442.50

c)

$425.00

d)

$3.50

42.
If a plant grows 1/4 cm every day for 21 days, what is the total amount of growth?
a)
82 cm
b)
25 cm
c)
17 1/4 cm
d)
5 1/4 cm
43.
Jamie earned $725 dollars by working 5 days in a week. What is the average amount that she earned per day? 
a)
$145
b)
$3625
c)
$45
d)
$9000
44.

During a football game, Ryan had rushes of 12 yards, 6 yards, and 9 yard before losing 7 yards on a play. How many total yards did he gain during the drive?

a)

33 yards

b)

27 yards

c)

20 yards

d)

He did not gain any yards.

45.

Brynlee is selling pies for a band fundraiser. They make $5.50 profit for every pie they sell. How many must they sell in order to make a profit of at least $100?

a)

19 pies

b)

18 pies

c)

550 pies

d)

100 pies

46.

You need to cut a piece of wood into 10 equal pieces. How many times do you need to cut the board to create 10 pieces?

a)

9 cuts

b)

10 cuts

c)

11 cuts

d)

20 cuts

47.
When we are adding, the rule for numbers with the same sign is...
a)
same signs subtract
b)
same signs add and keep
c)
same signs positive
d)
same signs negative
48.
When we are adding numbers with different signs, we follow the rule of...
a)
different signs subtract
b)
different signs positive
c)
different signs add and keep
d)
different signs negative
49.
Same signs add and keep,
different signs subtract,
keep the sign of...
a)
the first number
b)
the smaller number
c)
the bigger value
d)
the last number
50.
When multiplying two numbers with the same signs, the sign of your answer will be...
(example: N x N or P x P)
a)
negative
b)
the sign of the bigger value
c)
the sign of the higher number
d)
positive
51.
When multiplying two numbers with different signs, the answer will be ________.
(example: N x P or P x N)
a)
negative
b)
the sign of the bigger value
c)
positive
d)
the sign of the higher number
52.
When adding fractions, we first need to find...
a)
Greatest common factor
b)
Common denominators
c)
Common numerators
53.
When multiplying fractions, we...
a)
multiply by the reciprocal
b)
multiply across
c)
add and keep
d)
find common denominators
54.
When adding decimals with the same sign you.....
a)
subtract and take the sign of the larger number
b)
add the opposite
c)
add and keep the sign
d)
subtract and keep the sign
55.
When adding decimals with different signs you....
a)
subtract and take the sign of the larger number
b)
add the opposite
c)
add and keep the sign
d)
subtract and keep the sign
56.
An entire chocolate cake has 5,320 calories.  If the cake is equally divided into 14 pieces, how many calories are in each piece?
a)
354
b)
380
c)
483
d)
408