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Worksheets

Equations and Inequalities

Total questions: 40

Worksheet time: 1hrs 17mins

Name
Class
Date
1.
3n + 4 = 7 
a)
1
b)
-1
c)
3.67
d)
2
2.
4x + 7 = 23
a)
x = 16
b)
x = 4
c)
x = 9
d)
x = 12
3.
Figure out what n equals in this equation:
6n + 4 = -26
a)
n=-6
b)
n= -5
c)
n= 8
d)
n= -4
4.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
5.
-3a + 8 = 14
a)
a= -2
b)
a= -7.5
c)
a= 2
d)
a= 6
6.
6 - 3a = 21
a)
a= 9
b)
a= -9
c)
a= -5
d)
a= 5
7.
9 = 2s + 1 
a)
4
b)
-4
c)
3.5
d)
5
8.
8 = 4v + 12
a)
-1
b)
1
c)
0
d)
-10
9.
20 = 2 - a
a)
a= 18
b)
a= -18
c)
a= -10
d)
a= 12
10.
-5 - 6a = -59
a)
a= 11
b)
a= -6
c)
a= 9
d)
a= 2
11.

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. What equation could be used to find out how many students were on each bus?

a)

331 = 7x + 6

b)

331 = 13x

c)

331 = 6x + 7

d)

331 - 7 = 6x

12.
Jim paid a gym membership fee of $50, plus $20 per month.  Jim has paid a total of $290 to the gym. How many months has he been a member at the gym?
a)
12
b)
17
c)
64.5
d)
15
13.

Scott works on cars. He charges $35 for each car plus $7 per hour. If Kylie's car bill was $63, how many hours did Scott work on her car?

a)

4 hours

b)

5 hours

c)

6 hours

d)

7 hours

14.
 A computer printer can print 10 pages per minute. There were already 35 pages in the tray.  The total pages printed was 115 pages. How many minutes has the printer been running?
a)
8
b)
9
c)
7
d)
10
15.
a)
2
b)
4
c)
6
d)
8
16.
a)
60
b)
70
c)
80
d)
90
17.
a)

x = 40

b)

x = 400

c)

x = -40

d)

x = -400

18.
Solve for n:
3(n - 5) = -12
a)
1
b)
-1
c)
9
d)
-9
19.
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
20.
The goal of solving two-step equations is to:
a)
francine
b)
Find the coefficient 
c)
Find the value of the variable
21.
Using the "opposite operation" to "undo" and isolate the variable when solving an equation is more commonly called...
a)
Inverse operations
b)
math
c)
variable
d)
PEMDAS
22.

Solve 7k - 14 = 42

a)

7

b)

-8

c)

0

d)

8

23.
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.
24.

Solve x5+2 = 6\frac{x}{5}+2\ =\ 6  

a)

t = 20

b)

t = -20

c)

t = -40

d)

t = 40

25.
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
26.

 5x+3=235x+3=23  

a)

 x=7x=7  

b)

 x=4x=4  

c)

 x=5x=5  

d)

 x=10x=10  

27.

 2x1=112x-1=11  

a)

 x=6x=6  

b)

 x=5x=5  

c)

 x=12x=\frac{1}{2}  

d)

 x=1x=-1  

28.

 x7+2=5\frac{x}{7}+2=5  

a)

 x=1x=1  

b)

 x=49x=49  

c)

 x=7x=7  

d)

 x=21x=21  

29.

 x87=3\frac{x}{8}-7=3  

a)

 x=80x=80  

b)

 x=32x=32  

c)

 x=2x=2  

d)

 x=32x=-32  

30.

 x+13=2\frac{x+1}{3}=2  

a)

 x=3x=3  

b)

 x=3x=-3  

c)

 x=5x=5  

d)

 x=7x=7  

31.

 x34=10\frac{x-3}{4}=10  

a)

 x=0x=0  

b)

 x=43x=43  

c)

 x=37x=37  

d)

 x=52x=52  

32.

 7x+3=457x+3=45  

a)

 x=7x=7  

b)

 x=10x=10  

c)

 x=6x=6  

d)

 x=9x=9  

33.

 x+10=6x+10=6  

a)

 x=4x=-4  

b)

 x=4x=4  

c)

 x=16x=16  

d)

 x=16x=-16  

34.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
35.
a)

x > 3

b)

x ≤ ⅕

c)

x ≥ 3

d)

x ≤ ⅕

36.
Do I need to flip my sign?
-3x  ≥ 12
a)
Yes, because I'll be dividing by a negative number
b)
No, because you never flip the sign. 
37.
Solve and graph the inequality.
7n - 1 > 76
a)
A
b)
B
c)
C
d)
D
38.

Which symbol means "greater than or equal to"?

a)

<<

b)

>>

c)

\le

d)

\ge

39.

Level 1

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

40.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2