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Worksheets

Equations and Inequalities

Total questions: 28

Worksheet time: 1hrs 29mins

Name
Class
Date
1.

For which equation is x = 5 a solution?

a)

2 + x = 3

b)

3x = 15

c)

x - 7 = 12

2.

Which is the solution to the equation below?

9 = n + 3

a)

3

b)

6

c)

12

d)

27

3.

Which equation has a solution of 12?

a)

x - 6 = 6

b)

x + 6 = 6

c)

4 = x - 16

d)

4 = 8 + x

4.

Which is the solution to the equation below?
                           32=q232=\frac{q}{2}  

a)

16

b)

30

c)

46

d)

64

5.

Which of the following number lines represents the inequality below?

x < 4

a)
b)
c)
6.

 For which inequality is x ≥4 a solution?For\ which\ inequality\ is\ x\ \ge4\ a\ solution?  

a)

 x + 3 ≥1x\ +\ 3\ \ge1  

b)

 3x ≥ 13x\ \ge\ 1  

c)

 x − 3≥1x\ -\ 3\ge1  

7.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
8.
If x = 2, what is y?
y = 5x + 4
a)
0
b)
4
c)
14
d)
11
9.
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
10.
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
11.
A number multiplied by 2 is no more than 12
a)
x > 12
b)
x < 12
c)
2x ≤ 12
d)
2x > 12
12.
Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike? 
a)
15h ≤ 105
b)
15h > 105
c)
15h < 105
d)
15h ≥ 105
13.

What is a variable?

a)

A number that represents an unknown value

b)

A letter that represents an unknown value

14.

Which model represents X + 6 = 2 ?

a)
b)
c)
15.
What term is represented by the algebra tiles?
a)
6
b)
-6
c)
6x
d)
-6x2
16.
What term is represented by the algebra tiles?
a)
8
b)
-8
c)
-8x
d)
-8x2
17.

What is the value for x?

a)

x = 8

b)

x = 1/8

c)

x = 2

d)

x = 4

18.
The variable, k, is being divided by 11. How should you show your work to isolate the variable?
a)
Divide both sides by 11
b)
Multiply both sides by 11.
c)
Add 11 to both sides.
d)
Subtract 11 to both sides.
19.
Solve the equation:
20.5 = x + 4
a)
16.5
b)
16.05
c)
24.5
d)
24.05
20.
y - 33 = 147
a)
y = 114
b)
y = 177
c)
y = 180
d)
Answer not Given
21.
When you graph an inequality, you use a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
22.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
c)
≤, <
d)
≥, >
23.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
24.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
25.
What inequality does the number line graph represent?
a)
x ≤ -4
b)
x ≥ -4
c)
x < -4
d)
x < 4
26.
What inequality does the number line graph represent?
a)
x≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ 3
27.
Match the graph with its inequality.
a)
a > 11
b)
a < 11
c)
a ≥ 11
d)
a ≤ 11
28.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5