Free Printable Solving Equations Mixed

1.

What is the main task when evaluating equations?

a)

to cancel numbers

b)

to isolate the variable

2.

What is the inverse operation of adding (+)?

a)

Adding (+)

b)

Subtracting (-)

c)

Multiplying (×)

d)

Dividing (÷)

3.

What is the inverse operation of subtracting (-)?

a)

Adding (+)

b)

Subtracting (-)

c)

Multiplying (×)

d)

Dividing (÷)

4.

What is the first step to solve this equation?
y - 5 = 22

a)

Subtract 5 from both sides

b)

Subtract 5 from one side and add to the other

c)

Add 5 to both sides

d)

Add five to one side and subtract 5 from the other

5.

x - 32 = 49

a)

x = 17

b)

x = 71

c)

x = 81

d)

x = 49

6.

Which value of r makes the statement true?
r - 10 = 36

a)

46

b)

50

c)

26

d)

14

7.

s + 42 = 75

a)

33

b)

117

c)

36

d)

43

8.

Solve for g.
12 = g - 4

a)

12

b)

16

c)

4

d)

8

9.

Which value of t makes the statement true?
18 + t = 50

a)

29

b)

32

c)

52

d)

68

10.

x - 5.5 = 13.53

a)

x = 8.03

b)

x = - 8.03

c)

x = - 19.03

d)

x = 19.03

11.

Solve:
b - 43 = 188

a)

231

b)

145

12.

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

13.

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.

14.

19 + a = -50

a)

a = -950

b)

a = -69

c)

a = -31

d)

a = -50/19

15.

m - 8 = -5

a)

m = 13

b)

m = -13

c)

m = 3

d)

m = -3

16.

How would you solve this equation: 9x = 153 ?

a)

multiply both sides by 9

b)

divide both sides by 9

c)

add 9 to both sides

d)

subtract 9 from both sides

17.

x + 12 = 20

a)

x = 32

b)

x = -32

c)

x = 8

d)

x = -8

18.

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

19.

Which equation has a = 5 as the solution?

a)

a + 15 = 10

b)

2a = 5

c)

2a = 10

d)

a - 15 = 10

20.

a)

k = 152

b)

k = 176

c)

k = 5

d)

k = 27

21.

144 = 12k

a)

k = 156

b)

k = 0.08333333

c)

k = 12

d)

k = 132

22.

x - 62 = 123
How should you show your work to solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

23.

9 + 3r = 10

a)

r = 2/3

b)

r = 1/3

c)

r = -1/3

d)

r = 4

24.

8 -3w = -13

a)

w = 7

b)

w = -13/5

c)

w = 13/5

d)

w = -7

25.

-5t + 9 = 24

a)

t = -3

b)

t = 3

c)

t = 33/5

d)

t = -33/5

26.

Solve 3x - 7 = 32

a)

x= 13

b)

x= -13

c)

x= 12

d)

x= -12

27.

5(y - 3) + 2y = 27

a)

y = 3

b)

y = 42/15

c)

y = 30/7

d)

y = 6

28.

4x - 9x + 3 = -32

a)

x = -35/13

b)

x = 7

c)

x = -7

d)

x = -29/5

29.

a)

x = 55

b)

x = 60

c)

x = 17.5

d)

x = 45

30.

-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

31.

17 = 3(x-5) + 5

a)

x = 9

b)

x = 8

c)

x = 17/3

d)

x = -9

32.

-5-r = 1+2r

a)

21

b)

- 2

c)

- 4

d)

4

33.

-8n-4 = -2+n-6-8n

a)

- 4.5

b)

13

c)

4

d)

7

34.

10-10x = 1-9x

a)

99

b)

- 3

c)

9

d)

1

35.

4x + 3 = 5x - 4

a)

7/9

b)

7

c)

1

36.

4b + 2 = 3b

a)

7/2 (or 3.5)

b)

-2

c)

2

37.

What is the 1st step in solving the following equation?

3x + 7 = x - 21

a)

Move variables to same side

b)

Add 7 to both sides

c)

divide both sides by 3

d)

Subtract 21 from both sides

38.

What is the 2nd step in solving the following equation?

3x + 7 = x - 21

2x + 7 = -21

a)

Divide both sides by 2

b)

add 7 to both sides

c)

Subtract 7 from both sides

d)

Subtract 21 from both sides

39.

What is the NEXT step in solving the following equation?

3x + 7 = x - 21

2x + 7 = -21

a)

2x = -28

b)

2x = 28

c)

2x = 14

d)

2x = -14

40.

What is the 1st step in solving the equation?

2x - 4x = 1 - x

a)

-2x = 1-x

b)

-4x = 1 - x + 2x

c)

8x = 1 - x

d)

2x - 4x = 0

41.

Which step is incorrect?

120 = 4(7a+2)

Step 1 Distribute

120 = 28a + 8

Step 2 Subtract 8 from both sides

112 = 28a

Step 3 Divide both sides by 28

a=4

a)

Step 1

b)

Step 2

c)

Step 3

d)

Problem is worked correctly

42.

Which step is incorrect?

120 = -4(7a+2)

Step 1: 120 = -28a - 8

Step 2: 112 = -28a

Step 3: a=-4

a)

Problem is correct

b)

step 1

c)

step 2

d)

step 3

43.

Which step is incorrect?

2(1-5n) = -30 - 2n

Step 1: 2 - 7n = -30 - 2n

Step 2: 2 = -30 + 5n

Step 3: 32 = 5n

Step 4: 6.2 = n

a)

step 1

b)

step 2

c)

step 3

d)

problem is correct

44.

Which step is incorrect?

2(1-5n) = -30 - 2n

Step 1: 2 - 7n = -30 - 2n

Step 2: 2 = -30 + 8n

Step 3: 32 = 8n

Step 4: 4 = n

a)

step 1

b)

step 3

c)

correct answer

d)

step 2

45.

Solve.

7 + 4x + 4x = 8x + 3 + 4

a)

no solution

b)

all real numbers

c)

7

d)

3

46.

Solve

7 + 3x = 14 + 3x

a)

all real numbers

b)

no solution

c)

5

d)

9

47.

Which step is the next step for the following equation?

1 - 2x - 6 = 7

a)

-5 - 2x = 7

b)

1 - 6 = 7 - 2x

c)

-5 = 7 - 2x

d)

-7x = 7

48.

Solve

-2x + 2x = 0

a)

0

b)

all real numbers

c)

1

d)

no solution

49.

How confident do you feel about solving equations?

4 lines

Solving Equations Mixed

Total questions: 49

Worksheet time: 2hrs 38mins

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