Free Printable Solving Equations

1.

-3(2c-5)=15

a)

-5

b)

5

c)

0

d)

6

2.

33 = 4a - 7

a)

a=-10

b)

a=10

c)

a=4.5

3.

-3a + 8 = 14

a)

a= -2

b)

a= -7.5

c)

a= 2

d)

a= 6

4.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

5.

-11 + 3(b + 5) = 7

a)

1

b)

-1

c)

3

d)

-3

6.

5x=25

a)

6

b)

5

c)

4

d)

50

7.

4(4+4x)=96

a)

5

b)

1.5

c)

9

d)

10

8.

4=2r-10

a)

7

b)

15

c)

14

d)

9

9.

19=14+t

a)

10

b)

18

c)

19

d)

5

10.

After paying $8.24 for a sandwich,Amanda has $7.71. With how much money did she start?

a)

$17.55

b)

$24.19

c)

$15.95

d)

$0.50

11.

12=n-9

a)

12

b)

21

c)

211

d)

65

12.

11b+7=40

a)

45

b)

8

c)

4

d)

3

13.

30=5(x+1)

a)

5

b)

50

c)

15

d)

6

14.

Seven less than 3 times a number is 18. What is the equation?

a)

3x-7 =18

b)

7+3/x=18

c)

7-3x=18

d)

x/3-7=18

15.

Five times a number minus 4 is six. What is the number?

a)

50

b)

2

c)

2/5

d)

10

16.

7(2x - 4) = 42

a)

x= 5

b)

x= 8

c)

x= 2

d)

x= 9

17.

Solve the following equation.
4x + 3 = -5

a)

1/2

b)

-1/2

c)

-2

d)

2

18.

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

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

19.

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

20.

Solve 2x - 3 = 1

a)

3

b)

2

c)

1

d)

-2

21.

Solve -5t + 9 = 24

a)

-3

b)

3

c)

12

22.

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.

23.

a)

7

b)

-16

c)

4

d)

-15

24.

4x - 7 = 21

a)

x = 12

b)

x = 7

c)

x = 24

25.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

26.

3 = 5x - 12

a)

2 = x

b)

4 = x

c)

3 = x

d)

-1 = x

27.

What is the first step in solving this equation 8x - 6 = 10

a)

Add 6

b)

Subtract 8

c)

Divide by 8

d)

Subtract 6

28.

a)

2

b)

4

c)

6

d)

8

29.

Solve:
-4x = 24

a)

20

b)

-20

c)

6

d)

-6

30.

Solve:
3x + 7 = -8

a)

5

b)

-5

c)

-12

d)

-18

31.

Solve for y:
2y + 7 = 11

a)

y = 2

b)

y = 1

c)

y = 9

d)

y = 4

32.

Solve for b:
3(b - 4) = -3

a)

b = 3

b)

b = -3

c)

b = 5

d)

b = -5

33.

Solve for y:
2y + 7 = 11

a)

y = 2

b)

y = 1

c)

y = 9

d)

y = 4

34.

Solve for x:
4x + 5x = 27

a)

x = 27

b)

x = 3

c)

x = -27

d)

x = 0

35.

Solve for k:
6k = 30

a)

k = 36

b)

k = 24

c)

k = 180

d)

k = 5

36.

Solve for g:
2g - 3 + 4g = 27

a)

g = 12

b)

g = 4

c)

g = 5

d)

g = 15

37.

-6x = 18

a)

12

b)

-3

c)

3

d)

24

38.

3b + 6b = 63

a)

-7

b)

9

c)

7

d)

21

39.

x - 9 = -10

a)

1

b)

-1

c)

19

d)

-19

40.

7x - 9 = -23

a)

2

b)

25

c)

98

d)

-2

41.

8x - 10 = 6

a)

0.5

b)

2

c)

-2

d)

128

42.

2(y - 4) = 16

a)

10

b)

12

c)

4

d)

48

43.

What is the solution of r - 11 = 5

a)

11

b)

14

c)

15

d)

16

44.

What is the solution of 3w = 30

a)

6

b)

9

c)

10

d)

12

45.

What is the solution of a - 5 = 9

a)

14

b)

9

c)

5

d)

4

46.

17 = x + 3

a)

x = 20

b)

x = 14

c)

x = 13

d)

x = 19

47.

Solve for x: 7 (2x - 4) = 42

a)

x = 2

b)

x = 8

c)

x= 5

d)

x = 9

48.

12x = 144

a)

x = 12

b)

x = 4

c)

x = 2

d)

x = 132

49.

3y = -15

a)

-5

b)

5

c)

-3

d)

3

50.

-4x + 1 = 21

a)

x=120

b)

x=5

c)

x=30

d)

x=-5

51.

Which equation has x = 2 as a solution?

a)

3 + x = 10

b)

11 + x = 13

c)

4x = 32

d)

5x =25

52.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

53.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

54.

6p - 5 =13

a)

12

b)

15

c)

3

d)

-3

55.

7(2x - 4) = 42

a)

x= 5

b)

x= 8

c)

x= 2

d)

x= 9

56.

Solve for the variable. 3x=-27

a)

x=9

b)

x=-30

c)

x=-9

d)

x=-24

57.

Translate into an expression:
4 less than two times a number

a)

4-2x

b)

4<2x

c)

2x-4

d)

2-4

58.

Simplify:
5(3x+1)

a)

15x+1

b)

15x+5

c)

8x+1

d)

8x+6

59.

Solve: 3(x-4) = -3

a)

3

b)

-3

c)

5

d)

-5

60.

Determine if the given value is true or false

6x + 5 = 27; x=4

a)

true

b)

false

61.

Determine if the given value makes the equation true or false.
$\frac{x}{3}-8=15$ ; x=69

a)

true

b)

false

62.

2x - 14 = -9

a)

x = 2.5

b)

x = 11.5

c)

x = -11.5

d)

x = -2.5

63.

solve.
$\frac{x}{2}+8=-24$

a)

x= -32

b)

x= -16

c)

x= -64

d)

x = -8

64.

How would you solve the equation?
5x = 30

a)

Subtract 5 from both sides

b)

Subtract 30 from both sides

c)

Multiply both sides by 5

d)

Divide both sides by 5

65.

How would you solve the equation?
36 = 9 + m

a)

Subtract 9 from both sides

b)

Add 9 to both sides

c)

Multiply both sides by 9

d)

Divide both sides by 9

66.

How would you solve the equation?
38 = m - 15

a)

Subtract 15 from both sides

b)

Add 15 to both sides

c)

Multiply both sides by 15

d)

Divide both sides by 15

67.

How would you solve the equation?
3 = d/17

a)

Divide both sides by 17

b)

Add 3 to both sides

c)

Multiply both sides by 3

d)

Multiply both sides by 17

68.

What is the solution of the equation 36 = 4y?

a)

9

b)

1/9

c)

10

d)

40

69.

Which equation does not have 6 as a solution?

a)

r + 5 = 11

b)

3 - r = -3

c)

7r = 42

d)

r/3 = 18

70.

Solve the equation:
4p = 16

a)

p = 12

b)

p = -12

c)

p = -4

d)

p = 4

71.

Solve the equation
5 + x = 44

a)

x = 34

b)

x = 39

c)

x = 49

d)

x = 45

72.

5x + 8 = 43

a)

x = 7

b)

x = 8

c)

x = 9

d)

x = 10

73.

3v - 16 = 14

a)

v = 30

b)

v = 1

c)

v = 10

d)

v = 90

74.

25 = 7n + 4

a)

n = 6

b)

n = 5

c)

n = 4

d)

n = 3

75.

-3m + 8 = 14

a)

m = 2

b)

m = 3

c)

m = -2

d)

m = -3

76.

Which expression below is equivalent to: p + p + p + p

a)

5p

b)

3p

c)

4p

d)

p⁴

77.

If x = 7, which equation is true?

a)

4x + 6 = 33

b)

6x - 5 = 47

c)

3x - 4 = 12

d)

7x - 9 = 40

Solving Equations - Year 7

Total questions: 77

Worksheet time: 3hrs 34mins

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