Free Printable Algebra - what do you already know?

1.

Simplify: 3t - 9t

a)

12t

b)

-6t

c)

$27t^2$

d)

6t

2.

Simplify: -15h + 15h

a)

30h

b)

5h

c)

0

d)

$30h^2$

3.

Simplify: -3x + 6x - 3 + 3x

a)

6x - 3

b)

-6x + 3

c)

9x

d)

3x

4.

Simplify: 75 + 64q - 2q

a)

75 + 66q

b)

137q

c)

77 + 64q

d)

75 + 62q

5.

Simplify: 7w - 4w + 9g

a)

12w

b)

3w + 9g

c)

11w + 9g

d)

7w + 5g

6.

Simplify: 2x + 3 + 5x + 6

a)

6x + 18

b)

5x + 11

c)

3x - 3

d)

7x + 9

7.

Simplify: 9a + 5 - 7a -2a

a)

5

b)

14a + 5

c)

4a

d)

4a + 5

8.

Simplify: 100x - 5y + 8x - 2y + 17

a)

95xy + 6xy + 17

b)

92x -3y + 17

c)

108x - 7y + 17

d)

98x + 3y + 17

9.

Simplify this expression:

6m + 5y + 3m + 7y

(a)

10.

Simplify this expression:

6r + 3s + 4r + 3s + s

(a)

11.

4m is the same as...

a)

m + m

b)

m + m + m

c)

m + m + m + m

d)

m + m + m + m + m

12.

Simplify this expression:

15m + 2m + 6m + m

a)

18m

b)

23m

c)

24m

d)

25m

13.

Simplify this expression:

k + k + k + k

(a)

14.

Simplify this expression:

5x + 3x + 7x + x

a)

4x

b)

16x

c)

13x

d)

17x

15.

$a^2\ \times3a$

a)

$3a.a$

b)

3

c)

$3a^3$

d)

You can't multiply this

16.

$b\times3b\ x\ 2b$

a)

$6b$

b)

$b\times6b$

c)

$6b^3$

d)

These terms can't be multiplied

17.

$\frac{12b^5}{3b}$

a)

$\frac{b}{6}$

b)

$\frac{4b^2}{1}$

c)

$4b^4$

d)

This expression can't be divided

18.

4c x 3d

a)

12cd

b)

7cd

c)

cd

d)

none of the above

19.

$6x\times5xy$

a)

$30xy^2$

b)

$30x^2y$

c)

6y

d)

5x

20.

Work out the value of the following expressions when a = 3, b = 4 and c = 5.
a + b

a)

7

b)

8

c)

9

d)

6

21.

Work out the value of the following expressions when a = 3, b = 4 and c = 5.
2a

a)

5

b)

6

c)

8

d)

10

22.

Work out the value of the following expressions when a = 3, b = 4 and c = 5.
3ab

a)

10

b)

12

c)

15

d)

36

23.

Work out the value of the expression when x = 3, y = – 2 and z = – 4.
y + x – z

a)

-5

b)

-3

c)

3

d)

5

24.

If a = 4 and b = 6, what is the value of 3a + 5b?

a)

40

b)

42

c)

44

d)

46

25.

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

a)

34

b)

36

c)

35

d)

37

26.

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

a)

27

b)

12

c)

17

d)

18

27.

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

a)

2

b)

3

c)

4

d)

5

28.

If a = 2, b = 3, c = 4 and d = 5, find a + b + c + d

a)

14

b)

12

c)

15

d)

13

29.

Substitute x = 3 into the expression:

x + 5

(a)

30.

Substitute x = 5 into the expression:

4x + 5

(a)

31.

Substitute x = -1 into the expression:

4x + 6

(a)

32.

Substitute x = -2 into the expression:

2x - 5

(a)

33.

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

a)

2

b)

3

c)

4

d)

5

34.

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

a)

10

b)

2

c)

30

d)

4

35.

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

a)

7

b)

8

c)

9

d)

10

36.

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

a)

16

b)

88

c)

14

d)

0

37.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

38.

5. 6b = 30

a)

x = 36

b)

x = 24

c)

x = 180

d)

x = 5

39.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

40.

x + 12 = 20

a)

x = 32

b)

x = -32

c)

x = 8

d)

x = -8

41.

What is the first step to solve this equation:
3x = 44

a)

Add 3 to both sides

b)

Subtract 3 from both sides

c)

Multiply 3 on both sides

d)

Divide 3 on both sides.

42.

Solve the equation
3x = 27.

a)

x = 24

b)

x = 81

c)

x = 9

43.

y + 65 = 182

a)

y = 107

b)

y = 117

c)

y = 247

d)

y = 123

44.

$Solve\ for\ k.\$
$k\ \div\ 9\ =\ 10$

a)

99

b)

90

c)

9

d)

11

45.

Solve\ for\ r.\

108\ =\ 9r

a)

11

b)

15

c)

7

d)

12

46.

$\frac{12.4}{r}=3.1$

a)

r = 4

b)

r = 5

c)

r = 3

d)

r = 2

e)

r = 6

47.

Expand 3(4d - 3)

a)

12d - 9

b)

7d - 6

c)

34d - 33

d)

12d² - 9

48.

Expand m(7m - 2)

a)

7m - 2m

b)

7m² - 2m

c)

7m - 2

d)

7m² - 2

49.

Expand 2(x + 4)

a)

2x + 8

b)

2x + 6

c)

x + 8

d)

x + 6

50.

Expand 10(x + 2)

a)

10x + 20

b)

10x + 12

c)

x + 20

d)

x + 12

51.

Expand 5(2x + 3)

a)

10x + 15

b)

7x + 15

c)

10x + 8

d)

7x + 8

52.

Expand 10(3x + 6)

a)

30x + 60

b)

13x + 60

c)

30x + 16

d)

13x + 16

53.

Expand 4(2x + 10)

a)

8x + 40

b)

6x + 40

c)

8x + 14

d)

6x + 14

54.

Expand 2(3x - 4)

a)

6x - 8

b)

6x + 8

c)

5x - 8

d)

5x - 6

55.

Expand 6(2x - 3)

a)

12x - 18

b)

12x + 18

c)

8x - 18

d)

8x - 9

56.

Expand 4(3x - 2)

a)

12x - 8

b)

12x + 8

c)

7x - 8

d)

7x - 6

57.

Expand 5(2 - 8f)

a)

10 - 40f

b)

7 - 13f

c)

10 - 8f

d)

2 - 40f

58.

Expand 2(2 - 6h)

a)

4 - 12h

b)

4 - 6h

c)

4 + 6h

d)

4 + 12h

59.

Expand x(x+2)

a)

x² + 2x

b)

2x + 2

c)

x + 2x

d)

4x

60.

Expand 4a(2a + 3b)

a)

8a + 12ab

b)

8a² + 12ab

c)

8a² + 3b

d)

8a + 12b

61.

Expand g(2g + 3)

a)

2g + 3g

b)

2g² + 3

c)

2g² + 3g

d)

5g²

62.

Expand g(5g - 2h)

a)

5g - 2gh

b)

5g² - 2h

c)

5g²- 2gh

d)

3h

63.

7(g + 3)

a)

7g + 3

b)

7g + 21

c)

10g

d)

g + 21

64.

4(2t - 5)

a)

8t - 20

b)

8t - 5

c)

6t - 20

d)

8t + 20

65.

Expand 4(b + 3)

a)

4b² + 7

b)

4b + 7

c)

4b + 12

d)

7b

66.

Expand the Expression: 3(x - y + 5)

a)

3x - 3y + 8

b)

3xy + 15

c)

3x + 3y + 8

d)

3x - 3y + 15

67.

Expand the following brackets:

3 (d+4)

a)

3d + 4

b)

3d + 12

c)

d + 12

d)

3 + 4

68.

10(f + 5)

a)

10f + 50

b)

f + 50

c)

10f + 5

d)

b + c

69.

5(6 + cd)

a)

30 + 5cd

b)

5 + c

c)

11 + 5c

70.

30(g + f)

a)

30g + 30f

b)

30g

c)

30f

71.

Which of the following is the correct expansion of:
5(r - 2)?

a)

5r - 2

b)

5r +2

c)

5r + 10

d)

5r - 10

72.

Which of the following is the correct expansion of:
a(a - 10)?

a)

a² - 10a

b)

2a - 10

c)

2a² - 10

d)

a - 10a²

73.

Which of the following is the correct expansion of:
3p(4p - 7q)?

a)

7p - 10pq

b)

12pq - 21q²

c)

9q

d)

12p² - 21pq

74.

2(3 + a)

a)

6 + 2a

b)

5 + a

c)

5 + 2a

d)

6 + a

75.

3(b + c)

a)

3b + 3c

b)

3b + c

c)

3 + 3c

d)

b + c

76.

4(d + e)

a)

4d + 4e

b)

4d + e

c)

4 + 4e

d)

d + e

77.

3(4 + c)

a)

12 + 3c

b)

7 + c

c)

3 + 3c

d)

4 + c

78.

Factorize the linear expression: 3x + 6

a)

3(x + 6)

b)

3x - 6

c)

3(x + 2)

d)

3(x - 2)

79.

Factorize the linear expression: 5x - 10

a)

5(x - 2)

b)

5x + 10

c)

5(x + 2)

d)

5x - 2

80.

Factorize the linear expression: 4x - 8

a)

2(x - 4)

b)

4(x + 2)

c)

4x + 8

d)

4(x - 2)

81.

Factorize the linear expression: 2x + 4

a)

2x - 4

b)

4(x + 2)

c)

2(x + 2)

d)

2x + 8

82.

Factorize the linear expression: 7x - 14

a)

14(x - 1)

b)

7(x + 2)

c)

7(x - 2)

d)

7x - 2

83.

Fully factorise the following expression...

4x - 12

a)

4(x - 3)

b)

2(2x - 6)

c)

2(2x - 3)

d)

4(x - 12)

84.

Fully factorise the following expression...

3x - 15

a)

3(x - 3)

b)

3(x - 6)

c)

3(x - 5)

d)

3(x - 15)

85.

Fully factorise the following expression...

2x - 10

a)

2(x - 3)

b)

2(x - 2)

c)

2(x - 5)

d)

2(x - 10)

86.

Fully factorise the following expression...

12x - 14

a)

2(6x - 7)

b)

2(6x - 2)

c)

4(3x - 4)

d)

4(3x - 3)

87.

Fully factorise the following expression...

5x + 10

a)

5(x + 3)

b)

5(x + 2)

c)

5(x + 5)

d)

5(x + 10)

88.

Fully factorise the following expression...

6x + 18

a)

6(x + 3)

b)

3(2x + 6)

c)

3(x + 6)

d)

2(3x + 9)

89.

Fully factorise the following expression...

12x + 18

a)

6(2x + 3)

b)

3(4x + 6)

c)

12(x + 2)

d)

2(6x + 9)

90.

Fully factorise the following expression...

12x + 20

a)

2(6x + 10)

b)

4(3x + 5)

c)

3(4x + 6)

d)

12(x + 20)

91.

Fully factorise the following expression...

15x + 20

a)

5(3x + 4)

b)

3(5x + 6)

c)

5(3x - 4)

d)

3(5x - 6)

92.

Fully factorise the following expression...

20x + 30

a)

10(2x + 3)

b)

2(10x + 15)

c)

5(4x + 6)

d)

4(5x + 6)

93.

Fully factorise the following expression...

8x + 2

a)

2(4x + 2)

b)

2(4x + 1)

c)

8(x + 2)

d)

8(x + 1)

94.

Fully factorise the following expression...

12x - 8

a)

3(4x - 3)

b)

3(4x - 2)

c)

4(3x - 2)

d)

4(3x - 1)

95.

Factorise fully 8x+32

a)

8(x+4)

b)

4(2x+16)

c)

2(4x+16)

d)

4(2x+8)

96.

Factorise fully $24a-16$

a)

12\left(2a-4\right)

b)

$4\left(6a-4\right)$

c)

$8\left(3a-2\right)$

d)

$6\left(4a-3\right)$

97.

Factorise 5x + 15c - 20y

a)

xcy (5 + 15 - 20)

b)

5 ( x + 15c - 20y)

c)

5x (15c - 20y)

d)

5 (x + 3c - 4y)

98.

Factorise fully 3a + 6

a)

3(a + 3)

b)

3(a + 6)

c)

3(a + 2)

d)

3(a + 1)

99.

Factorise fully 16a - 24

a)

2 ( 8a - 12)

b)

8 ( 2a + 3)

c)

8 ( 2a - 3)

d)

4a ( 4a - 6)

100.

Factorise fully $6\ -\ 12x$

a)

$6\left(\ -\ 2x\right)$

b)

$6\ \left(\ 1\ -\ 2x\right)$

c)

$6\ \left(1\ -\ 12x\right)$

d)

$3\ \left(\ 2\ -\ 4x\right)$

101.

Expand and simplify 3(2z + 1) - 2(5 + z).

a)

4z - 7

b)

7z - 7

c)

8z - 7

d)

4z + 13

102.

Expand and simplify 3(c - 2d) - 2(2c - 3d).

a)

-c

b)

c

c)

-c - 12d

d)

-c + 12d

103.

Expand and simplify 4(y - 3) + 2(3 +2y).

a)

8y - 6

b)

6y - 6

c)

8y -1

d)

4y -12 + 6 + 4y

104.

Expand and simplify 3(x + 2) + 4(2x +1).

a)

11x + 10

b)

11x + 7

c)

7x + 10

d)

11x + 3

105.

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

a)

11x + 22

b)

20x + 22

c)

20x + 1

d)

18x + 26

106.

Simplify the expression: 2(x + 4) + 3(2x - 5)

a)

8x - 7

b)

8x + 4

c)

5x + 23

d)

-5x + 20

107.

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

a)

11x + 22

b)

20x + 22

c)

20x + 1

d)

18x + 26

108.

Simplify the expression: 2(x + 4) + 3(2x - 5)

a)

8x - 7

b)

8x + 4

c)

5x + 23

d)

-5x + 20

109.

Expand and simplify 3(x + 2) + 4(2x +1).

a)

11x + 10

b)

11x + 7

c)

7x + 10

d)

11x + 3

110.

Simplify the expression: 2(x + 4) + 3(2x - 5)

a)

8x - 7

b)

8x + 4

c)

5x + 23

d)

-5x + 20

Algebra - what do you already know?

Total questions: 110

Worksheet time: 2hrs 18mins

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