Free Printable Solving Equations Practice

1.

Solve for x.

x - 9 = 15

a)

x = 23

b)

x = 6

c)

x = 24

d)

x = -24

2.

Solve for x:

8x - 10 = -34

a)

x = 2/11

b)

x = 3

c)

x = -3

d)

x = -24

3.

What is the first step to complete when solving this equation?

10 - 3x = 4

a)

Add 10

b)

Subtract 10

c)

Add 3

d)

Divide by -3

4.

Solve. t / 4 + 2 = 6

a)

32

b)

16

c)

22

d)

24

5.

Solve for x:

a)

x = 2/5

b)

x = 7

c)

x = 10

d)

x = 3

6.

Solve -3x + 5 = -16

a)

11/3

b)

2

c)

-7

d)

7

7.

15 = 2a + 7

a)

2

b)

4

c)

12

d)

11

8.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

9.

The objective when solving an equation is to....

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

10.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

d)

x - 15 = 10

11.

Solve the equation:
4p = 16

a)

p = 12

b)

p = 64

c)

p = 3

d)

p = 4

12.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

13.

solve

a)

x=3

b)

x=10

c)

x=6

d)

x=4

14.

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.

15.

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

a)

multiply

b)

divide

c)

add

d)

subtract

16.

Solve the equation below:

a)

k = 152

b)

k = 176

c)

k = 5

d)

k = 27

17.

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

18.

Solve 7y - 4 = -11

a)

1

b)

2

c)

-1

d)

-2

19.

⅔x - 5 =7

a)

x=18

b)

x=10

c)

x=8

d)

x=11

20.

a)

19

b)

-9

c)

-100

d)

-50

21.

-15 = 5a +12- 2a + 6

a)

-11

b)

-3

c)

10

d)

7

22.

3a + 9 + 4a = 2

a)

-1

b)

1

c)

no solution

d)

-7

23.

What is the first step in solving the equation 2a - 4(a - 5) = 10

a)

Add 4 to both sides

b)

Add the 2a and a

c)

Distribute 4 to a and -5

d)

Distribute -4 to a and -5

24.

4(a + 3) = -32

a)

-11

b)

-44

c)

-20

d)

-8

25.

2 + 14a = -8 + 9a

a)

-2

b)

3

c)

5

d)

-10

26.

-a = 9(a - 10)

a)

9

b)

1

c)

90

d)

10

27.

22 + 2a = 37 + 6 + a

a)

21

b)

-21

c)

5

d)

6

28.

Solve.
(2x - 3) / 4 = 9

a)

x = 24

b)

x = 12

c)

x = 17.5

d)

x = 19.5

29.

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

a)

4

b)

3

c)

2

d)

1

30.

What is the inverse operation of multiplication?

a)

multiplication

b)

addition

c)

subtraction

d)

division

31.

Solve:
3(3x - 6) = 18

a)

x = 4

b)

x = -4

c)

no solution

d)

infinite solutions

32.

4(a + 3) = -32

a)

-11

b)

-44

c)

-20

d)

-8

33.

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

34.

Mrs. Burrell is buying donuts for a morning study session. She can spent $35. If it costs $3 per donut and $2 for a chocolate milk for herself, how many donuts did she buy for her students?

a)

12 donuts

b)

14 donuts

c)

10 donuts

d)

11 donuts

35.

Solve -20 = -4x - 6x

a)

x = -2

b)

x = 10

c)

x = 2

d)

x = -10

36.

When multiplying or dividing, what happens when you have two negative signs?

a)

Your answer will be positive

b)

Your answer will be negative

37.

What are the two basic rules for solving algebraic equations?

a)

Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign

b)

Negative signs can be ignored

c)

Always start on the left side, regardless of where the variable is

d)

Always do the opposite operation

38.

What do you call the number in front of a variable that is being multiplied?

a)

Constant

b)

Variable

c)

Coefficient

d)

Equation

39.

When multiplying or dividing, what happens when you have one negative sign?

a)

Your answer will be positive

b)

Your answer will be negative

40.

What do you call when you flip a fraction?

a)

Reapproval

b)

Recipient

c)

Reciprocity

d)

Reciprocal

41.

a)

4

b)

2

c)

-2

d)

-4

42.

a)

-4

b)

-2

c)

-6

d)

-8

43.

a)

1

b)

0

c)

2

d)

7

44.

a)

3

b)

-11

c)

7

d)

11

45.

a)

0

b)

1

c)

2

d)

-2

46.

a)

3

b)

1

c)

2

d)

-2

47.

a)

3

b)

1

c)

2

d)

-2

48.

a)

1

b)

19

c)

-10

d)

10

49.

a)

-5

b)

-6

c)

5

d)

6

50.

a)

-2

b)

-4

c)

2

d)

4

51.

a)

8

b)

6

c)

2

d)

4

52.

a)

9

b)

3

c)

6

d)

0

53.

a)

3

b)

-2

c)

-3

d)

4

54.

5(2x -1) = -5+ 10x

a)

x = 5

b)

x = 0

c)

all real numbers

d)

no solution

55.

Solve for the variable.

22+2a=37+6+a

a)

a = 21

b)

a = 5

c)

a = -5

d)

a = -16

56.

3(x - 1) = 2x + 9

a)

Infinite Solutions

b)

No Solution

c)

x = 12

d)

x = -3

57.

2(x + 6) + 3 = 9 + 5x

a)

16

b)

2

c)

-8

d)

-10

58.

A coefficient is __________.

a)

the variable

b)

a constant

c)

an exponent

d)

the number that comes before the variable

59.

How many terms does this expression have?
-18y + 7yz - 4z

a)

-18

b)

3

c)

7

d)

-4

60.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

61.

5x + 3y + 5 + 4x + 3y + y + 8

a)

9x + 7y + 13

b)

6x + 2y + 2

c)

25x + 2y + 3

d)

x + 7y + 12

62.

Solve for the indicated variable.

11x – 3x = 12 – 20

(a)

63.

Solve for x.

2x-5x+6x-100=8

a)

36

b)

30

c)

19

d)

-5

64.

Solve for x.

16x+4x-12x+16+20=-188

a)

16

b)

-28

c)

-24

d)

-22

65.

Solve:

$4r-8+7-6r=-9$

a)

r = 4

b)

r = -12

c)

r = 12

d)

r = -4

66.

Solve:

$6x-5+7x=34$

a)

x = 31

b)

x = -3

c)

x = 3

d)

x = -31

67.

Solve:

$2n+3n+7=-43$

a)

n = -43/12

b)

n = -10

c)

n = -56/5

d)

n = 10

68.

a)

x= 12

b)

x= -12

c)

x= -22

d)

x= 22

69.

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

a)

4

b)

3

c)

2

d)

1

70.

Solve the following equation:

$9\left(x+3\right)=27$

(a)

71.

-(n - 8) = -2

a)

6

b)

10

c)

-10

d)

-6

72.

9 (2x + 8) = 270

a)

x = -7

b)

x = -5

c)

x = 11

d)

x = 12

73.

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

a)

4

b)

3

c)

2

d)

1

74.

Solve the following equation:

$-5\left(8x-12\right)=-100$

(a)

75.

7 -5 (-e + 6x - 4) + 3e - 2

a)

e +12x -10

b)

5e+12x-10

c)

-30x -2e +25

Solving Equations Practice

Total questions: 75

Worksheet time: 6hrs 13mins

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