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Worksheets

SOLVING EQUATIONS AND INEQUALITIES

Total questions: 26

Worksheet time: 20mins

Name
Class
Date
1.
One difference between equations and expressions would be...
a)
you solve both of them using inverse operations.
b)
you flip the symbol when you multiply or divide by a negative
c)
equations have an equals because they show two equal expressions. Expresions have terms and operations.
2.

It is a mathematical sentence that contains an equal sign...

a)

Expression

b)

Equation

c)

Inequality

d)

None of the above

3.

What does Isolate the Variable means?

a)

To leave the variable by itself.

b)

To multiply the variable

c)

To change the variable

4.

What is the inverse operation for addition?

a)

Multiplication

b)

Division

c)

Subtraction

5.

What is another word for INVERSE?

a)

Adverse

b)

Opposite

c)

Reverse

d)

Invest

6.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

7.

Solve the equation:

x/8 = 5

a)

30

b)

35

c)

40

d)

45

8.

Solve the equation:

a - 27 = 41

a)

a = 68

b)

a = -41/27

c)

a = -1107

d)

a = 14

9.

Solve the equation:

x + 12 = 20

a)

x = 32

b)

x = -32

c)

x = 8

d)

x = -8

10.
Solve the equation:
4p = 16
a)
p = 12
b)
p = 64
c)
p = 3
d)
p = 4
11.

Solve the equation:

6b = 30

a)

x = 36

b)

x = 24

c)

x = 180

d)

x = 5

12.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
13.

True or False: When you solve an equation you get one solution for the variable. When you solve an inequality you get a set of solutions for the variable

a)

True

b)

False

14.

True or False: When you solve an inequality, you follow the same steps as solving an equation.

a)

True

b)

False

15.

When do you flip the inequality sign?

a)

When you have a negative number

b)

When you add or subtract a negative number

c)

When you have or signs

d)

When you multiply or divide by a negative sign.

16.
When graphing b < 6 would you use an open or closed circle?
a)
Open ○
b)
Closed •
17.
What inequality does the number line graph represent. 
a)
x < 2
b)
x > 2
c)
x ≥ 2
d)
x ≤ 2
18.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
19.
Which number line shows the solution set to the inequality below?
x - 3 > -3
a)
A
b)
B
c)
C
d)
D
20.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
21.
-12x > 36
a)
x > -3
b)
x > 48
c)
x < -3
22.

Is a mathematical sentence that contains a sign indicating that the true values on each side are NOT equal...

a)

Expression

b)

Equation

c)

Inequality

23.

Solve for x: x5=2\frac{x}{5}=2  

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

24.

Write an equation for: 17 less than H equals 42

a)

17 - H = 42

b)

H - 17 = 42

c)

H + 17 = 42

d)

17 + H = 42

25.
What is the best first step to complete when solving this equation?
10 - 3y = 4
a)
Add 10
b)
Subtract 10
c)
Add 3
d)
Divide by -3
26.
Which of the following inequalities would require you to flip the sign when solving?
a)
2x < 3
b)
3x > - 9
c)
-4x ≥ 10
d)
5x ≤ 15