Free Printable Algebra Simplification and Solving

1.

Simplify: 3x + 5x

a)

5x

b)

6x

c)

7x

d)

8x

2.

Simplify: 2(3x + 4)

a)

3x + 4

b)

5x + 4

c)

6x + 4

d)

6x + 8

3.

Simplify: 5a – 2a + 7

a)

2a + 7

b)

3a + 7

c)

5a + 7

d)

7 – 3a

4.

Simplify: (x + 2)(x + 3)

a)

x² + 5x + 6

b)

x² + 6x + 5

c)

x² + 2x + 3

d)

x² + 3x + 2

5.

Simplify: 4x – 2(x – 5)

a)

2x + 10

b)

2x – 10

c)

6x – 5

d)

6x + 5

6.

Simplify: (2y + 3y) – (y – 4)

a)

4y + 4

b)

5y + 4

c)

4y – 4

d)

5y – 4

7.

Simplify: (a + b)(a – b)

a)

a² + b²

b)

a² – b²

c)

a² – 2ab + b²

d)

a² + 2ab – b²

8.

Simplify: 6m + 2n – 3m + 5n

a)

3m + 7n

b)

9m + 3n

c)

6m + 7n

d)

3m – 7n

9.

Simplify: (x + 4)²

a)

x² + 16

b)

x² + 4

c)

x² + 8x + 16

d)

x² + 2x + 4

10.

Simplify: 2(x + y) – (x – y)

a)

x + 3y

b)

3x + y

c)

2x – y

d)

x – y

11.

Solve: x + 5 = 12

a)

5

b)

6

c)

7

d)

8

12.

Solve: 3x = 18

a)

4

b)

5

c)

6

d)

7

13.

Solve: 2x – 7 = 9

a)

6

b)

7

c)

8

d)

9

14.

Solve: 4x + 3 = 15

a)

2

b)

3

c)

4

d)

5

15.

Solve: 5x – 2 = 3x + 6

a)

2

b)

3

c)

4

d)

5

16.

Solve: 7x = 2x + 20

a)

2

b)

3

c)

4

d)

5

17.

Solve: 2(x – 3) = 10

a)

5

b)

6

c)

2

d)

8

18.

Solve: (x/2) + 3 = 7

a)

6

b)

7

c)

8

d)

9

19.

Solve: 3(x – 4) = 9

a)

5

b)

6

c)

7

d)

8

20.

Solve: 5x + 7 = 2x + 19

a)

3

b)

4

c)

5

d)

6

21.

Solve: x² = 25

a)

3 or –3

b)

4 or –4

c)

5 or –5

d)

6 or –6

22.

Solve: x² – 9 = 0

a)

2 or –2

b)

3 or –3

c)

4 or –4

d)

5 or –5

23.

Solve: (x – 3)(x + 3) = 0

a)

3 or –3

b)

4 or –4

c)

5 or –5

d)

6 or –6

24.

Solve: x² + 5x + 6 = 0

a)

–1, –6

b)

–2, –3

c)

–3, –4

d)

–2, –4

25.

Solve: x² – 7x + 10 = 0

a)

2, 5

b)

3, 4

c)

–2, –5

d)

–3, –4

26.

Solve: x² – 4x = 0

a)

0, 2

b)

0, 3

c)

0, 4

d)

0, 5

27.

Solve: x² + 2x – 15 = 0

a)

–3, 5

b)

–5, 3

c)

–1, 15

d)

–2, 7

28.

Solve: 2x² – 8 = 0

a)

1, –1

b)

2, –2

c)

3, –3

d)

4, –4

29.

Solve: (x – 1)² = 0

a)

0

b)

1

c)

2

d)

–1

30.

Solve: x² – x – 12 = 0

a)

–3, 4

b)

–2, 6

c)

–1, 12

d)

–4, 3

31.

Solve: x + 3 > 7

a)

x > 4

b)

x > 3

c)

x > 2

d)

x > 1

32.

Solve: 2x – 5 < 3

a)

x < –3

b)

x < 4

c)

x < –5

d)

x < –6

33.

Solve: (x/2) + 1 ≥ 6

a)

x ≥ 8

b)

x ≥ 9

c)

x ≥ 10

d)

x ≥ 11

34.

If f(x) = 2x + 3, find f(2)

a)

5

b)

6

c)

7

d)

8

35.

If f(x) = x² – 1, find f(3)

a)

7

b)

8

c)

9

d)

10

36.

If g(x) = 3x – 4, find g(5)

a)

9

b)

10

c)

11

d)

12

37.

If h(x) = 2x², find h(4)

a)

16

b)

24

c)

32

d)

34

38.

If f(x) = x + 7, find f(0)

a)

6

b)

7

c)

8

d)

9

39.

If g(x) = –x + 6, find g(2)

a)

2

b)

3

c)

4

d)

5

40.

If h(x) = x² + 2x, find h(–1)

a)

–1

b)

0

c)

1

d)

2

41.

If f(x) = 5x, find f(–3)

a)

–10

b)

–12

c)

–15

d)

–20

42.

If g(x) = 2x – 5, find g(0)

a)

–5

b)

–4

c)

–3

d)

–2

43.

If h(x) = x² – 4, find h(2)

a)

–4

b)

–2

c)

0

d)

2

44.

The sum of a number and 7 is 15. Find the number.

a)

6

b)

7

c)

8

d)

9

45.

Twice a number is 18. Find the number.

a)

7

b)

8

c)

9

d)

10

46.

A number increased by 9 equals 20. Find the number.

a)

9

b)

10

c)

11

d)

12

47.

The product of a number and 6 is 42. Find the number.

a)

5

b)

6

c)

7

d)

8

48.

If 3 times a number is 27, what is the number?

a)

7

b)

8

c)

9

d)

10

49.

A number decreased by 5 equals 12. Find the number.

a)

15

b)

16

c)

17

d)

18

50.

The quotient of a number and 4 is 7. Find the number.

a)

26

b)

27

c)

28

d)

29

51.

A number added to twice itself is 21. Find the number.

a)

6

b)

7

c)

8

d)

9

52.

The difference between a number and 8 is 10. Find the number.

a)

16

b)

17

c)

18

d)

19

53.

Three more than a number equals 25. Find the number.

a)

20

b)

21

c)

22

d)

23

Algebra Simplification and Solving

Total questions: 53

Worksheet time: 53mins

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