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Solving 1 and 2 step equations, simplifying expressions

Total questions: 35

Worksheet time: 1hrs 4mins

Name
Class
Date
1.
What would be the best first step to solving the equation?
-3=x+5
a)
add 3 to both sides
b)
subtract 5 from both sides
c)
add 5 to both sides
d)
subtract -5 from both sides
2.
What would be the best first step to solving the equation?
-6x=-24
a)
multiply both sides by -6
b)
divide both sides by -6
c)
add 6  to both sides
d)
subtract -6  from both sides
3.
What would be the best first step to solving the equation?
-18=m+12
a)
add 18 to both sides
b)
subtract 18 from both sides
c)
add 12 to both sides
d)
subtract 12 from both sides
4.
What would be the best first step to solving the equation in one step?
a)
multiply both sides by 3/2 
b)
divide both sides by 3
c)
multiply both sides by 3
d)
subtract 2/3  from both sides
5.
What would be the best first step to solving the equation in one step?
a)
multiply both sides by 3
b)
multiply both sides by -3
c)
divide both sides by -3
d)
add 3 to each side
6.
What would be the best first step to solving the equation in one step?
a)
multiply both sides by 11
b)
multiply both sides by 1/2
c)
divide both sides by 2
d)
multiply both sides by 2
7.

Solve: m + 18 = -8

a)

m = 26

b)

m = -26

c)

m = 10

d)

m = -10

8.

Solve: -2s = -38

a)

s = 76

b)

s = -76

c)

s = 19

d)

s = -19

9.

Solve:

 a−9=12\frac{a}{-9}=12  

a)

a = -1.3

b)

a = 1.3

c)

a = 108

d)

a = -108

10.

Solve:

 35h =27\frac{3}{5}h\ =27  

a)

h = 27

b)

h = 135

c)

h = 45

d)

h = 16.2

11.

Find the value of the variable: m + 4 = 12

a)

16

b)

8

c)

48

d)

3

12.

Find the value of the variable: m - 4 = 12

a)

16

b)

8

c)

48

d)

3

13.

Find the value of m: m5 = 10\frac{m}{5}\ =\ 10  

a)

2

b)

5

c)

50

14.

Find the value of m: 5m = 10

a)

50

b)

2

c)

5

15.
2d + 7 = 9 
a)
1
b)
7
c)
4
d)
3
16.
2s - 4 = 6
a)
5
b)
3
c)
-5
d)
2
17.
-6p - 3 = 9 
a)
-2
b)
2
c)
6
d)
3
18.

Level 3

Solve for a

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

19.

Level 3

Solve for x

a)

x = 2

b)

x = -2

c)

x = -10

d)

x = 4

20.

Level 3

Identify the steps to solve for b

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

21.

Level 4

What is the first step to solve this equation?

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

22.
0 = 8z + 8 
a)
-1
b)
1
c)
0
d)
8
23.

 x+2+6=8x+2+6=8  

a)

0

b)

14

c)

8

d)

4

24.

 96=6(k+8)96=6\left(k+8\right)  

a)

 1212  

b)

 88  

c)

 −4-4  

d)

 99  

25.
4 = 2(x + 3)
a)
1/2
b)
7/2
c)
-1
d)
5
26.
Solve for v.
a)
60
b)
-3
c)
15
d)
3
27.

What operation would you perform first and then second when solving for m in the following equation?

10 + 7m = 17

a)

subtract 10, divide by 7

b)

divide by 7, subtract 10

c)

multiply by 7, add 10

d)

add 10, multiply by 7

28.

Simplify the expression:

4x + 3x

a)

12x

b)

12x2

c)

7x

d)

7x2

29.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
30.

Simplify by combining like terms:

7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

31.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
32.

Which of the following is equivalent to the following expression?

7(x + 3)

a)

7x + 3

b)

7 + 3x

c)

10 + 3x

d)

7x + 21

33.

13 + 4(2x + 5)

a)

13 + 8x

b)

8x + 33

c)

8x + 20

d)

17(2x + 5)

34.
Are 3x and 3 like terms?
a)
Yes
b)
No
35.

Identify the like terms: 7y + 5r -4r + 2w +r

a)

7y and 2w

b)

5r ,-4r, and r

c)

5r abd r

d)

none