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Worksheets

Equations Review

Total questions: 35

Worksheet time: 1hrs 29mins

Name
Class
Date
1.

What is the first step you should take to solve this problem?


1 + 4n - 6n = 1 - 8n

a)

subtract 8n to both sides

b)

multiply 6n to both sides

c)

combine the like terms 4n + -6n

2.

What is the next step you should take?


1 + 4n = 10 - 14n

a)

Collect the variables (letters) to the left

b)

add 1 from both sides

c)

subtract 14n to both sides

3.

What is the final answer to


10 + 2n = 8n - 2n + 10 ?

a)

12

b)

5

c)

0

d)

-15

4.

What is the first step you should take to solve this problem?


-3(x - 2) = -8 +9b

a)

add 8 to both sides

b)

subtract 9b from both sides

c)

Distribute -3 to the x and -2

5.

What is the final answer to


4(x - 2) = -3 + 5x

a)

2

b)

-10

c)

-5

d)

-3

6.

Solve for x:

2x - 5 = 3x + 4

a)

x = 6

b)

x = -9

c)

x = -18/13

d)

x = 10/3

7.

5w + 5 = 8w - 10

a)

-5

b)

-2

c)

2

d)

5

8.

8x - 8 = -4x + 16

a)

8

b)

16

c)

24

d)

2

9.
Solve:
30 + 6t = 11t
a)
3
b)
5
c)
6
d)
30
10.
Solve for x:
4(1-x) + 3x = -2(x+1)
a)
x = -6
b)
x = 6
c)
x = 3
11.
Solve:
5y + 34 = -2(-7y+1)
a)
y = -4
b)
y = 9
c)
y = 4
d)
y = 36/19
12.
Solve the equation:
4x - 5x + 9 = 5x - 9
a)
x = -3
b)
x = 9
c)
x = 3
d)
x = -9
13.
Solve the equation:
-8x - 8 + 3(x-2) = -3x + 2
a)
x = -8
b)
x = 8
c)
x = 2
d)
x = -2
14.

Jacob solved the following equation using the steps shown.

Step 1 5x + 9 = 2x - 3

Step 2 3x + 9 = -3

Step 3 3x = -12

Step 4 x = -4

What operation did he perform to get from Step 1 to Step 2?

a)

Subtracted 2x from both sides of the equation

b)

Subtracted 9 from both sides of the equation

c)

Multiplied both sides of the equation by 3

d)

Added -3 to both sides of the equation

15.

Which statement best describes the first step to the equation?

-11-3x=44-2x

a)

Add 3 to both sides

b)

Add 11 to both sides

c)

Get the variables on one side

d)

Add 2 to both sides

16.
Solve:
5y+34 = -2(-7y+1)
a)
y = -4
b)
y = 9
c)
y = 4
d)
y = 36/19
17.
Solve the equation
12x - 15 = 3(2x+3)
a)
x = 4
b)
x = -4
c)
x = 2
d)
x = -2
18.
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.
19.
Solve:
3(x-4) = -3
a)
3
b)
-3
c)
5
d)
-5
20.
2x = x + 3
a)
6
b)
3
c)
2
d)
x
21.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
22.
Solve for w:
-6w + 1 = -11
a)
2
b)
1.2
c)
12
d)
-2
23.

Solve for a

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

24.

x4+8=10\frac{x}{4}+8=10  

a)

x=4x=-4  

b)

x=8x=-8  

c)

x=8x=8  

d)

x=16x=16  

25.
2(4 + 9w) 
a)
8+9w
b)
2+9
c)
8+18w
d)
2+9w
26.

2(4x - 7)

a)

8x + -14

b)

8x-7

c)

6x+7

d)

8x+14

27.

4(-p - 6)

a)

4p - 24

b)

4p + 24

c)

-4p + 24

d)

-4p + -24

28.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
29.
How many terms does this expression have?
3x + 5y - 17 - 2y + x
a)
3
b)
-17
c)
5
d)
1
30.
3x2-x+2-5x2+8x-5
a)
8x2+9x+7
b)
-2x2+7x-3
c)
2x2+7x-3
d)
5x2-3
31.
n +10 +9n -3=
a)
-3
b)
9n-3
c)
n
d)
10n + 7
32.

96=6(k+8)96=6\left(k+8\right)  

a)

1212  

b)

88  

c)

4-4  

d)

99  

33.

x+2+6=8x+2+6=8  

a)

0

b)

14

c)

8

d)

4

34.
10(h+1)-4=76
a)
h=10
b)
h=4
c)
h=7
d)
h=76
35.

5h - 6 - h + 10 = 12

a)

h= 12

b)

h= 2

c)

h= 0

d)

h= 5