Free Printable Solving Algebraic Equations

1.

x-4=6

a)

x=10

b)

x=12

c)

x=-10

d)

x=7

2.

12=x+3

a)

x=10

b)

x=6

c)

x=12

d)

x=9

3.

x-7=20

a)

x=13

b)

x=12

c)

x=27

d)

x=14

4.

12+ x= 4

a)

x=-2

b)

x=-8

c)

x=8

d)

x=16

5.

2x=4

a)

x=2

b)

x=-2

c)

x=3

d)

x=4

6.

4x=24

a)

x=5

b)

x=7

c)

x=6

d)

x=9

7.

Combine the like terms: x+x+t+t

a)

2x+2t

b)

3x+2t

c)

3+2t

d)

5t

8.

Combine the like terms: s+s+s+t+s+t+t

a)

4s+4t

b)

3s+4t

c)

4s+3t

d)

7s+4t

9.

Combine the like terms: 2x+3+x-1

a)

3x+4

b)

x+3

c)

3x+2

d)

3x-1

10.

Use the distributive property AND combine like terms:

3(2x+1+4x)

a)

16x+1

b)

18x+3

c)

6x+3

d)

24x+4

11.

3 x W = 12

a)

w= 3

b)

w = 5

c)

w = 4

12.

5 x Y = 25

a)

y = 4

b)

y = 6

c)

y = 3

d)

y = 5

13.

Q x 3 = 6

a)

q = 4

b)

q = 3

c)

q = 2

d)

q = 1

14.

8 x 3 = q

a)

q = 24

b)

q = 32

c)

q = 28

d)

q = 18

15.

x-14=3

a)

18

b)

17

c)

9

d)

16

16.

Which expression represents “6 more than x”?

a)

x - 6

b)

6x

c)

x + 6

d)

6 - x

17.

2x+8 = 22

a)

14

b)

16

c)

8

d)

7

18.

Which of the following expressions represents the total area of the rectangle?

a)

5(2 + 3)

b)

3(2 + 5)

c)

2(3 + 5)

d)

2(3) + 3(5)

19.

Which of the following is equivalent to 5(a + 6)?

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

20.

At a talent show, each performer has 2 minutes to set up, 3 minutes for an introduction, and 5 minutes for the act. There are 20 people performing. Which expression would help you find how long the talent show will be?

a)

2(20 + 3 + 5)

b)

3(20 + 2 + 5)

c)

5(20 + 2 + 3)

d)

20(2 + 3 + 5)

21.

Which of the following is equivalent to 2(c - 8)?

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

22.

Which of the following expressions represents the total area of the rectangle?

a)

10 + 6

b)

5(3 + 2)

c)

2(5 + 3)

d)

3(5 + 2)

23.

When Susan went shopping, she bought 2 cards that cost 5 dollars each and 2 envelopes that cost 3 dollars each. Which expression shows how much she spent on cards and envelopes?

a)

3(2 + 2)

b)

2(2 + 3)

c)

2(3 + 5)

d)

5(3 + 2)

24.

Which of the following is equivalent to 4(p - 6)?

a)

-4p - 24

b)

4p + 24

c)

4p + 24

d)

4p - 24

25.

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

26.

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

27.

3(4+3r)

a)

12+9r

b)

7+6r

c)

12+5r

28.

Fill in the blank:
2(x + 7) = 2x + __

a)

7

b)

14

c)

7x

d)

14x

29.

Fill in the blank:
4(3x + __) = 12x + 16

a)

4

b)

16

c)

4x

d)

12

30.

e(f + g) is equivalent to:

a)

ef + g

b)

f + g

c)

f + eg

d)

ef + eg

31.

Simplify the expression:
8(5 + w)

a)

40 + w

b)

40+8w

c)

85 + 8w

d)

13+8w

32.

Simplify the expression
11(9 + d)

a)

99 + d

b)

20 + 9d

c)

20 + d

d)

99+11d

33.

Simplify the expression:
5(p - 6)

a)

5p - 30

b)

5p - 5

c)

p - 30

d)

5p + 11

34.

Simplify the expression:
8(4b - 5)

a)

32b + 40

b)

32b - 40

c)

32(b - 40)

d)

84b - 85

35.

Simplify the expression:
3(4 + 7y)

a)

12 + 21y

b)

13 + 21y

c)

14 + 21y

d)

16 + 21y

36.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

37.

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

38.

4(p - 6)

a)

-4p - 24

b)

4p + 24

c)

4p + 24

d)

4p - 24

39.

4(k + 7)

a)

4k + 28

b)

4k - 28

c)

-4k + 28

d)

4k - 28

40.

If $a=3$ , find $7-a$

a)

2

b)

3

c)

4

d)

5

41.

If $b=10$ , find $\frac{40}{b}$ .

a)

10

b)

2

c)

30

d)

4

42.

If $c=5$ , find $2c$

a)

7

b)

8

c)

9

d)

10

43.

If $d=11$ , find $d+3$

a)

11

b)

12

c)

13

d)

14

44.

If $e=8$ , find $e+e$

a)

16

b)

88

c)

14

d)

0

45.

If $h=7$ , find $h^2$

a)

14

b)

49

c)

72

d)

36

46.

If $j=4$ , find $2j+3$

a)

27

b)

11

c)

12

d)

9

47.

If $k=5$ , find $\frac{k+3}{4}$

a)

$\frac{53}{4}$

b)

$2$

c)

$4$

d)

$8$

48.

If $m=6,\ n=11$ , find $mn$

a)

$6$

b)

$66$

c)

$611$

d)

$17$

49.

If $p=3,\ q=10$ , find $q^2-p^2$

a)

7

b)

1

c)

49

d)

91

50.

If a = 4 & b = 6, what is 3a + 5b?

a)

40

b)

42

c)

44

d)

46

51.

If x=5,find the value of 7x-1

a)

34

b)

36

c)

35

52.

If y=4,find the value of 3y+5

a)

27

b)

12

c)

17

53.

If y=7,find the value of 2(y+4)

a)

11

b)

22

c)

20

54.

If a=6 and b= 7,find the value of 15-a-b

a)

2

b)

3

c)

4

55.

If a=4,b=5 and c=6,find 2c-a-b

a)

4

b)

3

c)

6

56.

If x=5,find the value of 7x-1

a)

34

b)

36

c)

35

57.

If y=4,find the value of 3y+5

a)

27

b)

12

c)

17

58.

If y=7,find the value of 2(y+4)

a)

11

b)

22

c)

20

59.

11b+7=40

a)

2

b)

1

c)

4

d)

3

60.

If b = 7 and e = 2, what is 3b + e?

a)

24

b)

22

c)

23

d)

21

61.

12 ÷ 3 x 4
What do you do first?

a)

3x4

b)

12÷4

c)

12÷3

62.

Solve 14 - cd when c = 2 and d = 7

a)

0

b)

28

c)

16

d)

23

63.

Solve the equation

$0.2+x=3$

(a)

64.

Solve the equation

$39=17+x$

(a)

65.

What is the solution to the equation?

$2\frac{1}{2}+x=3\frac{1}{2}$

a)

$5\frac{1}{2}$

b)

6

c)

1

d)

$1\frac{1}{2}$

Solving Algebraic Equations

Total questions: 65

Worksheet time: 8hrs 18mins

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