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Chapter 7 - Equations and Inequalities - B

Total questions: 48

Worksheet time: 48mins

Name
Class
Date
1.
Solve the following equation 
8 = m - 12
a)
4
b)
0.5
c)
5.0
d)
20
2.
3 = c -1
a)
3
b)
4
c)
-3
d)
2
3.
Solve the equation: 
x + 7 = 12
a)
x = 5
b)
x = 19
c)
x = -5
d)
x = 84
4.
Solve the equation:
x - 4 = 6
a)
x = 10
b)
x = -10
c)
x = 2
d)
x = -2
5.
r + 20 = 27
a)
r = 7
b)
r = 47
c)
r = 13
d)
r = 20
6.
S + 18 = 24
a)
S = 42
b)
S = 32
c)
S = 18
d)
S = 4 + 2 
7.

Which choice models this situation? William needs to sell 25 Husky Cards for a fundraiser by Friday. So far, he has sold 9 cards. How many tickets does he still need to sell?

a)

t - 9 = 25

b)

t + 9 = 25

c)

9t = 25

d)

t/9 = 25

8.

Which choice models this situation?


Hadlee needed new pencils for school today. She took 6 pencils from a new box of pencils. If there are 18 pencils left in the box, how many pencils were in the brand new box?

a)

p - 6 = 18

b)

p + 6 = 18

c)

6p = 18

d)

p/6 = 18

9.
When you solve one-step equations, you can do anything you want to one side of the equal sign, as long as...
a)
it is mathematical
b)
you do the SAME thing to the other side
c)
solving equations is impossible
d)
I love Snow Days!
10.
In an equation, you want to get the variable...
a)
on one side
b)
to disappear
c)
by itself
d)
to sing and dance
11.
To solve one-step equations, you have to use the ________________ operation.
a)
Integer
b)
Inverse
c)
Additive
d)
Subtractive
12.
The inverse operation of addition is _______________.
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
13.
What is the correct step to solve for the variable?
15 = m - 5
a)
add 5 to both sides
b)
add 15 to both sides
c)
subtract 15 from both sides
d)
subtract 5 from both sides
14.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
a)
Subtract 62 from each side. 
b)
Add 62 to each side.
c)
Multiply each side by 62.
d)
Add 123 to each side.
15.

Solve for x.


x + 12 = 20

a)

x = 8

b)

x = -32

c)

x = 32

d)

x = -8

16.

What is the value of V?


V + 23 = 45

a)

V = 68

b)

V = 22

c)

V = -22

d)

Not Here

17.
r + 20 = 27
a)
r = 7
b)
r = 47
c)
r = 13
d)
r = 20
18.
s - 22 = 50
a)
s = 28
b)
s = 20
c)
s = 72
d)
s = 75
19.
g - 15 = 30
a)
g = 3(5)
b)
g = 15(3) 
c)
g = 15
d)
g = 7(5)
20.
S + 18 = 24
a)
S = 42
b)
S = 32
c)
S = 18
d)
S = 4 + 2 
21.
r - 18 = 27
a)
-45
b)
45
c)
-9
d)
9
22.
What is the inverse operation needed to solve for p?
765 = p - 254
a)
subtraction
b)
addition
c)
multiplication
d)
division
23.
y - 33 = 147
a)
y = 114
b)
y = 177
c)
y = 180
d)
Answer not Given
24.
What what is the inverse operation of subtraction?
a)
addition
b)
subtraction
c)
multiplication
d)
division
25.
x - 32 = 49
a)
x = 17
b)
x = 71
c)
x = 81
d)
x = 49
26.

Level 1

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

27.

Level 1

Write an inequality for the statement:

You must be at least 48 inches tall to ride the bumper cars.

a)

h < 48

b)

h > 48

c)

h ≤ 48

d)

h ≥ 48

28.

Level 1

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

29.

Level 2

The room can hold a maximum of 400 people. If there are already 134 people there, how many more can come? Identify the inequality that represents this situation.

a)

x - 134 < 400

b)

x + 134 < 400

c)

x - 134 ≤ 400

d)

x + 134 ≤ 400

30.

Level 2

23 < f + 12

a)

f > 11

b)

f > 35

c)

f < 35

d)

f < 11

31.

Level 2

Solve.

a)

z≤1

b)

z>9

c)

z≤9

d)

z<9

32.

Level 3

What are two solutions to x < 8?

a)

8.6, 7.9

b)

11, 16

c)

0.8, 5.9

d)

12, 7.1

33.
a)
x>48
b)
x>3
c)
x≥48
d)
x<3
34.
a)
z≤1
b)
z>9
c)
z≤9
d)
z<9
35.
a)
q≤46
b)
q<46
c)
q≥46
d)
q<46
36.
a)
y<139
b)
y≥55
c)
y>55
d)
y≤139
37.
a)
m>7
b)
m≤5
c)
5>m
d)
m>5
38.
a)
x<4
b)
x≤1
c)
x≤4
d)
x≥1
39.
a)
d≥59
b)
d≤69
c)
d≥49
d)
d<58
40.
a)
x≥65
b)
x≤151
c)
x>65
d)
x≥151
41.
a)
r<8
b)
r>9
c)
r≤8
d)
r≥9
42.
a)
t<104
b)
t≤0
c)
t>0
d)
t≥104
43.
a)
a≤1
b)
a≤25
c)
a>1
d)
a<25
44.
a)
q<5
b)
q≤45
c)
q<45
d)
q>5
45.
a)
x>100
b)
x>150
c)
x≥100
d)
x<150
46.
a)
y>14
b)
y>15
c)
y>16
d)
y≥15
47.

h - 2.7 ≤ 7

a)

h ≥ -3.4

b)

h ≥ -9.7

c)

h ≤ 9.7

d)

h ≤ 3.4

48.

Does the given value make the inequality true?

x + 5 > 21, when x = 15

a)

True

b)

Not True

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