Free Printable Year 8 Algebra Revision

1.

What is the HCF of: 4 & 6?

a)

4

b)

6

c)

3

d)

2

2.

What is the HCF of: 14 & 21?

a)

2

b)

3

c)

7

d)

17

3.

What is the HCF of: 8 & 12?

a)

2

b)

3

c)

4

d)

8

4.

What is the HCF of: 15 & 25?

5.

What is the HCF of: 16 & 24?

6.

What is the HCF of: 12 & 27?

7.

Expand the following brackets:

3 (d+4)

a)

3d + 4

b)

3d + 12

c)

d + 12

d)

3 + 4

8.

10(f + 5)

a)

10f + 50

b)

f + 50

c)

10f + 5

d)

b + c

9.

5(6 + cd)

a)

30 + 5cd

b)

5 + c

c)

11 + 5c

10.

30(g + f)

a)

30g + 30f

b)

30g

c)

30f

11.

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

a)

5r - 2

b)

5r +2

c)

5r + 10

d)

5r - 10

12.

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

a)

a² - 10a

b)

2a - 10

c)

2a² - 10

d)

a - 10a²

13.

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

a)

7p - 10pq

b)

12pq - 21q²

c)

9q

d)

12p² - 21pq

14.

2(3 + a)

a)

6 + 2a

b)

5 + a

c)

5 + 2a

d)

6 + a

15.

3(b + c)

a)

3b + 3c

b)

3b + c

c)

3 + 3c

d)

b + c

16.

4(d + e)

a)

4d + 4e

b)

4d + e

c)

4 + 4e

d)

d + e

17.

3(4 + c)

a)

12 + 3c

b)

7 + c

c)

3 + 3c

d)

4 + c

18.

4t and 6t are like terms

a)

True

b)

False

19.

3x and x are like terms

a)

True

b)

False

20.

5g and 5t are like terms

a)

True

b)

False

21.

5a and 6a are like terms

a)

True

b)

False

22.

4a and 4ab are like terms

a)

True

b)

False

23.

6gh and 7gk are like terms

a)

True

b)

False

24.

yz and 45zy are like terms

a)

True

b)

False

25.

3acd and 6cda are like terms

a)

True

b)

False

26.

5g and 5fg are like terms

a)

True

b)

False

27.

8gefh and 8efgh are like terms

a)

True

b)

False

28.

6ab and 3ba are like terms

a)

True

b)

False

29.

8xy and 5xy are like terms

a)

True

b)

False

30.

7eg and 7g are like terms

a)

True

b)

False

31.

7y and 18yz are like terms

a)

True

b)

False

32.

12ep and 4pe are like terms

a)

True

b)

False

33.

k + k + k + k + k =

a)

3k

b)

4k

c)

5k

d)

6k

34.

r + r + r + 12 + 7 =

a)

r + 19

b)

3r - 5

c)

3r + 19

d)

2r + 5

35.

7s - 2s + 10=

a)

15s

b)

5s + 10

c)

19s

d)

9s + 10

36.

19p - 6p + p=

a)

p

b)

13p

c)

26p

d)

14p

37.

Simplify:
5x - 6x - 8x + 7

a)

-9x + 7

b)

-9x - 7

c)

9x + 7

d)

9x - 7

38.

4a + 9 + a

a)

5a + 9

b)

3a-9

c)

3a + 9

d)

5a - 9

39.

Simplify the expression: 3x + 2x

a)

5x

b)

x

c)

6x

d)

5

40.

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

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

41.

-r -10r

a)

11r

b)

-11r

c)

9r

d)

-11

42.

Simplify:
14k + 4 + 18 - 16k

a)

30k + 14

b)

30k - 14

c)

-2k + 22

d)

-2k + 14

43.

Simplify: 6e - 9 + 10e

a)

16e + 9

b)

7e

c)

16e - 9

d)

-4e - 9

44.

Simplify 12p + 15 - 13 - 11p

a)

p + 2

b)

p - 28

c)

2

d)

28

45.

Simplify: 5(6x - 4)

a)

11x - 9

b)

30x - 20

c)

30x + 20

d)

30x - 9

46.

Simplify: 6(5x + 4)

a)

54x

b)

30x + 10

c)

11x + 10

d)

30x + 24

47.

4x + 5x + 6x

a)

15x

b)

15 + x

c)

4x + 11x

d)

9x + 6x

48.

Simplify: 4x + 5x + 6

a)

15x

b)

20x + 6

c)

26x

d)

9x + 6

49.

Simplify: 4(5x + 6)

a)

9x + 10

b)

20x + 24

c)

20 x + 10

d)

9x + 24

50.

Simplify $2r^3\times4r^2$

a)

$8r^5$

b)

$6r^6$

c)

$6r^5$

d)

$8r^6$

51.

$x^2\div x^5$

a)

$x^7$

b)

$x^{-3}$

c)

$x^{10}$

d)

$\frac{2}{5}$

52.

Simplify $\frac{14b}{2b}$

a)

$7b$

b)

$12$

c)

$7$

d)

$12b^2$

53.

$\frac{16xy^2}{12x}$ in simplest form is

a)

$4y^2$

b)

$2y^2$

c)

$\frac{4y^2}{3}$

d)

$\frac{16y^2}{12}$

54.

5 x p

a)

p5

b)

5p

c)

5+p

d)

(5p)

55.

a x b

a)

$a^b$

b)

a + b

c)

ab

d)

$\frac{a}{b}$

56.

$5\div h$

a)

$\frac{5}{h}$

b)

$\frac{h}{5}$

c)

$5h$

d)

$h5$

57.

$f\times g\times3$

a)

$fg^3$

b)

$fg3$

c)

$3fg$

d)

$\frac{3}{gf}$

58.

$h\times h\times h$

a)

$h^3$

b)

$h3$

c)

$h\times3$

d)

$3h$

59.

$h+h+h$

a)

$h^3$

b)

$h3$

c)

$h\times3$

d)

$3h$

60.

$t\times t\times t\times t$

a)

$t4$

b)

$t^4$

c)

$4t$

d)

$tttt$

61.

$\frac{2x^2}{x^2}$

a)

$\frac{2x}{x}$

b)

$\frac{2}{x}$

c)

$2x^2$

d)

$2$

62.

$\frac{20af}{4a}$

a)

5f

b)

5af

c)

5a

d)

20f

63.

$\frac{8x^4}{2x^2}$

a)

$4x^3$

b)

$\frac{4x^2}{2}$

c)

$4x^2$

d)

$\frac{8x^2}{2}$

64.

Combine like terms:

x+y+xy+x

a)

3xy

b)

2x+xy+y

c)

2xy+x

d)

3x+2y

65.

Which expression represents the perimeter of the triangle?

a)

4x + 4y + 5

b)

6xy + 7

c)

6x + 2y + 5

d)

10xy + x + 2y

66.

In the expression 11a − 5b + 6a,

which are the like terms?

a)

11a and -5b

b)

11a, -5b and 6a

c)

11, -5 and 6

d)

11a and 6a

67.

$-3\left(b+a\right)$

a)

$3b+3a$

b)

$-3b-a$

c)

$-3b-3a$

d)

$-3b+a$

68.

$3\left(a+c\right)$

a)

$3a-3c$

b)

$3a+3c$

c)

$3a+c$

d)

$a+3c$

69.

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

a)

$-6x^2+4x$

b)

$-6x^2-4x$

c)

$-6x^2-4$

d)

$x^2-4x$

70.

$3x\left(4x-1\right)$

a)

$12x^2-4$

b)

$12x^2-4x$

c)

$14x^2-3x$

d)

$12x^2-3x$

71.

$2x\left(2x-7\right)$

a)

$2x^2-14$

b)

$2x^2-14x$

c)

$4x^2-14x$

d)

$4x-14x$

72.

$\frac{8xy}{y}$

a)

y

b)

8

c)

8x

d)

x

73.

4c x 3d

a)

12cd

b)

7cd

c)

cd

d)

none of the above

74.

$6x\times5xy$

a)

$30xy^2$

b)

$30x^2y$

c)

6y

d)

5x

75.

$\frac{20xy^2}{4xy}$

a)

$5xy$

b)

$5y$

c)

$5y^2$

d)

none of the above

76.

a³x a⁴

a)

a¹²

b)

a⁷

c)

a¹

d)

a⁸

77.

Simplify: r⁴ x c³ x c x c⁴x r⁶

a)

rc¹⁷

b)

r¹⁰c⁸

c)

cr³⁶

d)

r¹⁰c

78.

Simplify: 5b⁴×4b³

a)

20b⁷

b)

9b⁷

c)

9b¹²

d)

20b¹²

79.

Simplify the following: 3b × 6b²

a)

9b⁴

b)

6b⁵

c)

18b³

d)

9b³

80.

y⁸ ÷ y

a)

y⁸

b)

y³

c)

y⁹

d)

y⁷

81.

$\frac{c^7}{c^4}$

a)

c⁷

b)

c³

c)

c¹¹

d)

c^-3

82.

Match the question to the correct answer.

a)

$x^2\times x^6$

1.

$x^8$

b)

$x^{ }\times x^5$

2.

$x^6$

c)

$x^5\times x^2$

3.

$x^7$

d)

$x^2\times x^3$

4.

$x^5$

e)

$x^7\times x^3$

5.

$x^{10}$

83.

Match the questions to the answers

a)

$y^3\div y$

1.

y²

b)

$\frac{y^8}{y^4}$

2.

$y^4$

c)

$\frac{y^{10}}{y^3}$

3.

y⁷

d)

y⁸/y²

4.

$y^6$

e)

$y^{12}\div y^3$

5.

y⁹

84.

a⁴b³÷a²b²

a)

ab

b)

a⁶b⁵

c)

a²b

d)

ab²

85.

Factorize 3x+9

a)

3(x+3)

b)

x(3+3)

c)

9(x-3)

d)

3x(x+9)

86.

Factorize 25x²y - 5xy

a)

5xy (x - y)

b)

5xy (5x + 1)

c)

5xy(5x-1)

d)

5xy (5x + 5)

87.

On factorizing 14pq + 35pqr, we get:

a)

7pq(2+5r)

b)

q(14p+35pr)

c)

p(14q+35qr)

d)

pq(14+35r)

88.

Factorise 9x-9

a)

9(x)

b)

9(x−9)

c)

9(x−1)

d)

9(x+1)

Year 8 Algebra Revision

Total questions: 88

Worksheet time: 2hrs 14mins

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