Free Printable Year 7 Exam Revision

1.

Write the following without the multiplication sign: $2\times a$

a)

2a

b)

a2

c)

$a^2$

d)

$a\times2$

2.

Write the following without the multiplication signs: $8\times a\times b$

a)

ab8

b)

8ab

c)

$ab^8$

d)

$\left(ab\right)^8$

3.

Write the following without the multiplication signs: a x 7 x c x 2

a)

72ac

b)

27ac

c)

14ac

d)

a7c2

4.

Write the following without the multiplication signs: 3 x 2 x p

a)

32p

b)

23p

c)

5p

d)

6p

5.

Simplify the expression: 2a x 4

a)

42a

b)

24a

c)

8a

d)

2a4

6.

Simplify the expression: 2 x 6g

a)

26g

b)

12g

c)

62g

d)

g12

7.

Simplify the expression: w x w

a)

2w

b)

$w^2$

c)

w2

d)

w

8.

Simplify the expression: 2b x 5b

a)

25bb

b)

25b

c)

$10b^2$

d)

$25b^2$

9.

Simplify the expression: 2a x 4b x c

a)

24abc

b)

2a4bc

c)

8abc

d)

42abc

10.

Simplify the expression: 3d x d

a)

$3d^2$

b)

$\left(3d\right)^2$

c)

3dd

11.

Write the expression without a division sign: $d\div5$

a)

$\frac{d}{5}$

b)

$\frac{5}{d}$

c)

d5

d)

5d

12.

Write the expression without a division sign: $2\div k$

a)

$\frac{k}{2}$

b)

$\frac{2}{k}$

c)

2k

d)

k2

13.

Write the expression without a division sign: $a\ \div\ b$

a)

ab

b)

ba

c)

$\frac{a}{b}$

d)

$\frac{b}{a}$

14.

Write the expression without a division sign: $2m\ \div5h$

a)

25mh

b)

$\frac{2m}{5h}$

c)

$\frac{5h}{2m}$

d)

10hm

15.

Write the expression without a division sign: $\left(4d\ +\ 1\right)\ \div7$

a)

7(4d + 1)

b)

$\frac{7}{4d\ +\ 1}$

c)

$\frac{4d\ +\ 1}{7}$

d)

$4d\ +\ \frac{1}{7}$

16.

Write the expression without a division sign: $\left(2a+7\right)\ \div\ \left(3b\ -\ 5\right)$

a)

(2a + 7)(3b - 5)

b)

$\frac{2a\ +\ 7}{3b\ -\ 5}$

c)

$\frac{3b\ -\ 5}{2a\ +\ 7}$

d)

$2a\ +\ \frac{7}{3b}\ -5$

17.

Simplify by dividing by common factors: $\frac{2a}{5a}$

a)

52

b)

25

c)

$\frac{2}{5}$

d)

$\frac{5}{2}$

18.

Simplify by dividing by common factors: $\frac{4e}{2}$

a)

42e

b)

2

c)

2e

d)

24e

19.

Simplify by dividing by common factors: $\frac{9ab}{4b}$

a)

94 a

b)

$94ab^2$

c)

$\frac{9a}{4}$

d)

$\frac{4}{9a}$

20.

Simplify by dividing by common factors: $\frac{10a}{15a}$

a)

$\frac{2a}{3a}$

b)

$\frac{2}{3}$

c)

$\frac{3}{2}$

d)

$\frac{10}{15}$

21.

Simplify by dividing by common factors: $\frac{9p}{3pq}$

a)

$\frac{3}{q}$

b)

$\frac{9}{3q}$

c)

$\frac{q}{3}$

d)

$\frac{3q}{9}$

22.

Are the equations true?

49 + 23 = 47 + 25

a)

True

b)

False

23.

True or False:

58 + 30 = 88 - 5

a)

True

b)

False

24.

Choose the number(s), if any, that make the equation true from the following set of numbers:

(0, 1, 5, 8, 11, 17)

m+5=6

a)

0

b)

1

c)

5

d)

8

e)

None of these

25.

Choose the number(s), if any, that make the equation true from the following set of numbers:

(0, 1, 5, 8, 11, 17)

5h=40

a)

1

b)

11

c)

5

d)

8

e)

None of these

26.

Choose the number(s), if any, that make the equation true from the following set of numbers:

(0, 1, 5, 8, 11, 17)

k-3=20

a)

11

b)

17

c)

8

d)

5

e)

None of these

27.

2 + 5 = 5 + 2

a)

True

b)

False

28.

2+8+5 = 16

a)

True

b)

False

29.

40+40=20+60

a)

True

b)

False

30.

8 - 4 = 6 - 3

a)

True

b)

False

31.

$10\div2=15\div3$

a)

True

b)

False

32.

$2\times2=10\div2$

a)

True

b)

False

33.

m=5

10+m=

a)

15

b)

20

c)

30

34.

j=15

20-j=

a)

5

b)

10

c)

15

35.

h=6

m=4

17+ h+m=

a)

27

b)

17

c)

7

36.

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

37.

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

38.

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

39.

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

a)

11

b)

22

c)

20

d)

18

40.

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

a)

40

b)

42

c)

44

d)

46

41.

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

a)

34

b)

36

c)

35

d)

37

42.

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

a)

2

b)

3

c)

4

d)

5

43.

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

a)

4

b)

3

c)

6

d)

5

44.

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

a)

11

b)

22

c)

20

d)

12

45.

if a=3, find the value of $a^2$

a)

6

b)

9

c)

32

d)

23

46.

if a=2, find the value of $a^3$

a)

6

b)

9

c)

8

d)

23

47.

if a=100, find the value of $\sqrt[]{a}$

a)

100

b)

50

c)

25

d)

10

48.

4P +2P

a)

2P

b)

6P

c)

-6P

d)

-2P

49.

Like terms have the same variables and the same exponents.

a)

true

b)

false

50.

Combine like terms to simplify: a + 2a + 7

a)

9a

b)

3a + 7

c)

2a + 7

d)

9

51.

Combine like terms to simplify: 5 + b + 2

a)

7b

b)

7b + 7

c)

7 + b

d)

8b

52.

Combine like terms to simplify: 6m + m - 4m

a)

10m

b)

3m

c)

2m

d)

11m

53.

Combine like terms to simplify: 8x - 8d

a)

8

b)

xd

c)

0

d)

They are unlike terms, so cannot be simplified.

54.

5x + 3y + 5 + 4x + 3y + y + 8

a)

9x + 7y + 13

b)

6x + 2y + 2

c)

25x + 2y + 3

d)

x + 7y + 12

55.

Simplify the following expression:
3 + 5x + 8 - 2x

a)

-3x² - 11

b)

3x² + 11

c)

11 - 3x

d)

11 + 3x

56.

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

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

57.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

58.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

59.

Simplify the expression: 3x + 2x

a)

5x

b)

x

c)

6x

d)

5

60.

Simplify the expression: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

61.

n +10 +9n -3=

a)

-3

b)

9n-3

c)

n

d)

10n + 7

62.

2x+3x-5

a)

5x-5

b)

5x

c)

0

d)

6x - 5

63.

Which of these are like terms in the following expression:
3x - 9x + 2x²

a)

7, 24y

b)

3x, 9x

c)

3x, -9x

d)

3x, -9x, 2x²

64.

What are the like terms in the following expression?
5a + 2b - 3a

a)

5a, -3a

b)

5a, 3a

c)

5a, 2b

d)

5a, 4

65.

What are the like terms in the following expression?
4x² - 3x - 2x

a)

-3x, -2x

b)

3x, 2x

c)

-3x, 2x

d)

3x, -2x

66.

What are the like terms in the following expression?
2x + 1 + 7x

a)

2x, 7x

b)

2x, 1

c)

2x, -7x

d)

7x, 1

67.

True or False:
4x and x are like terms.

a)

True

b)

False

68.

True or False:
y and 14 are like terms.

a)

True

b)

False

69.

True or False:
u³and u² are like terms.

a)

True

b)

False

70.

True or False:
14s and 14 are like terms.

a)

True

b)

False

71.

True or False:
100x and 100y are like terms.

a)

True

b)

False

72.

Simplify: x + 3x + 6x + x

a)

9x

b)

11x

c)

2x + 9x

d)

Can't be simplified

73.

State the coefficient of mn in the following expression: n - 8mn + 7.

a)

1

b)

7

c)

8

d)

-8

74.

What is the "7m" in this expression?
7m - 9

a)

Expression

b)

Variable

c)

Coefficient

d)

Term

75.

What is the algebraic expression for "the sum of n and 9"?

a)

n - 9

b)

n + 9

c)

n/9

d)

9n

76.

x + y

a)

expression

b)

equation

77.

How many terms in the following expression:
5x + 3y - 15 + x

a)

1

b)

2

c)

3

d)

4

78.

In the term -4x, what is the number written exactly in front of x called?

(a)

79.

The expression 7q is the same thing as

a)

7 + q

b)

7 x q

c)

7 - q

d)

$\frac{7}{q}$

80.

What is the definition of a coefficient?

a)

The letter used to represent a quantity

b)

The little number or letter used to raise to a power

c)

The number in front of a variable

d)

The number in back of a variable

81.

In this expression, 2x + 6y - 10, which are the coefficients?

a)

2, 6, and -10

b)

x and y

c)

2 and 6

d)

-10

82.

What does the number 5 represent in the following expression:
2x + 5

a)

constant

b)

coefficient

c)

variable

d)

tacos

83.

What is the sum of 14 and x?

a)

x - 14

b)

14x

c)

14 + x

d)

$\frac{14}{x}$

e)

14 - x

84.

What is a number decreased by seventeen?

a)

n + 17

b)

n - 17

c)

17 + n

d)

17 - n

85.

Which expression shows the sum of 12 and x?

a)

12x

b)

12 - x

c)

12 + x

86.

Which phrase describes this expression 16-y

a)

The quotient of 16 and y

b)

y added to 16

c)

the product of 16 and y

d)

y less than 16

87.

Identify a constant in the expression
3x + 2y + 7

a)

3

b)

2y

c)

7

d)

2

88.

How many terms are in the expression
3x + 2y + z

a)

5

b)

2

c)

4

d)

3

89.

Identify the pronumeral in the expression 3x + 9

a)

x

b)

y

c)

9

d)

3x

90.

A number with no pronumeral attached is called a _____.

a)

coefficient

b)

constant

c)

variable

d)

term

e)

pronumeral

91.

The number before a pronumeral is the _____.

a)

term

b)

constant

c)

coefficient

d)

variable

e)

pronumeral

92.

Find the coefficient in the algebraic expression.

a)

x

b)

4

c)

5

d)

9

93.

For the expression 7a + 4b + c + 9, answer the following:

State the number of terms.

(a)

94.

For the expression 7a + 4b + c + 9, answer the following:

List the individual terms. Separate the terms using a comma.

(a)

95.

For the expression 7a + 4b + c + 9, answer the following:

State the coefficient of b.

(a)

96.

For the expression 7a + 4b + c + 9, answer the following:

What is the constant term?

(a)

97.

Write an expression for the following:

the product of m and p

(a)

98.

Write an expression for the following:

the sum of a and k

(a)

99.

Write an expression for the following:

8 more than t

(a)

100.

Write an expression for the following:

4 less than w

(a)

101.

Write an expression for the following:
m is halved, then 7 is added

(a)

102.

Write an expression for the following:

m is doubled and 7 is added to the result.

(a)

103.

Write an expression for the following:

12 is subtracted from d and the result is tripled

(a)

104.

If x = 4, evaluate the following:

3x + 7

(a)

105.

$If\ x=4,\ evaluate\ the\ following:\ 20\div x\ +2\ -x$

(a)

106.

If x=4, evaluate the following:

18 - (2x +1)

(a)

107.

Classify the following pairs as like terms or not like terms:

3a and 8a

a)

like terms

b)

not like terms

108.

Classify the following pairs as like terms or not like terms:

3x and 3xy

a)

like terms

b)

not like terms

109.

Classify the following pairs as like terms or not like terms:

6 and 6a

a)

like terms

b)

not like terms

110.

Classify the following pairs as like terms or not like terms:

4mp and 5pm

a)

like terms

b)

not like terms

111.

Simplify the following by collecting like terms:

7a + 2a

(a)

112.

Simplify the following by collecting like terms:

7a + 2a + 4 + 2

(a)

113.

Simplify the following by collecting like terms:

7a - 2a + 8 - 2

(a)

114.

Simplify the following by collecting like terms:

7a + 2b + 3 + 2a + 3b + 5

(a)

115.

Simplify the following by collecting like terms:

7a + 2b + 5 + a + 3b

(a)

116.

Simplify the following by collecting like terms:

2cd + 4c + 8d + 5dc - c+ 4

(a)

117.

In the expression 2ab + 3a + 4ba + 5b + 6, the coefficient of b is:

a)

2

b)

3

c)

4

d)

5

e)

6

118.

The expression 2ab + 3a + 4ba + 5b + 6 can be simplified to;

a)

8ab + 3a + 5b + 6

b)

3a + 5b + 6ab + 6

c)

14ab + 6

d)

5ab + 9ba + 6

e)

the expression cannot be simplified further

119.

If ‘x is tripled and then 2 is added’ an expression for this is:

a)

x + 5

b)

3x + 2

c)

x/3 + 2

d)

x + 6

e)

3(x + 2)

120.

If m = 4, then 5m – 2m + m equals:

a)

4

b)

8

c)

12

d)

16

e)

20

121.

Which of the following pairs are not like terms?

a)

2x and 6x

b)

4ab and 10ba

c)

3 and 8

d)

5y and y

e)

7bc and 9abc

122.

Which of these following expressions can be simplified further by collecting like terms?

a)

4 + b - a

b)

6a + ab + 6

c)

7ab + 2b - ba

d)

8b - ba + 1

e)

9a - 5b + 9 + 3ab

123.

2b x 3 x 4c x a simplifies to:

a)

24abc

b)

12abc

c)

18ac

d)

8bc

e)

6ab

124.

$The\ simplified\ form\ of\ \frac{6xy}{9yz}\ is:$

a)

2xy/3yz

b)

6xy/9z

c)

2xy/3z

d)

6x/9z

e)

2x/3z

125.

A plumber charges a $50 call-out fee and then $70 per hour.

An expression for the total cost for h hours is:

a)

70 + 50h

b)

70h – 50

c)

120h

d)

50 + 70h

e)

50h – 70

126.

A plumber charges a $50 call-out fee and then $70 per hour.

How much will it cost for a plumbing job that takes 3 hours?

a)

$150

b)

$180

c)

$210

d)

$220

e)

$260

127.

Write an expression for the following without using multiplication or division signs:

5 less than a

(a)

128.

Write an expression for the following without using multiplication or division signs:

the product of 8, b and c

(a)

129.

Write an expression for the following without using multiplication or division signs:

the sum of 3 and double the value of x

(a)

130.

If x = 4 and y = 9, find the value of the following expression:

5x – 7 + 2x

(a)

131.

$If\ x=4\ and\ y=9,\ find\ the\ value\ of\ the\ following\ :\ \frac{3x+6}{y}$

(a)

132.

$If\ x=4\ and\ y=9,\ find\ the\ value\ of\ x^2+\sqrt{y}$

(a)

133.

Simplify the following by collecting like terms:

8p + 7 - 5p + 6

(a)

134.

Simplify the following by collecting like terms:

9e - 2f - 4 + 7f - 6e

(a)

135.

Simplify the following by collecting like terms:

2s + 7st + 3 - 4t - ts + 5s

(a)

136.

Simplify the following algebraic expression:

6a x bc x 2d

(a)

137.

$Simplify:\ \ 9xy\div18x$

(a)

138.

$Simplify:\ \ \frac{12a}{4a}$

(a)

139.

$Simplify:\ \frac{8ab}{10ac}$

(a)

140.

A rectangle has a width of w and length of l.

Write an expression for the perimeter of the rectangle.

(a)

141.

A rectangle has a width of w and length of l.

Evaluate the perimeter of the rectangle if w = 4 and l = 7.

(a)

142.

A rectangle has a width of w and length of l.

Write an expression for the area of the rectangle.

(a)

143.

A rectangle has a width of w and length of l.

Evaluate the area of the rectangle if w = 3 and l = 5.

(a)

Year 7 Exam Revision - Algebra

Total questions: 143

Worksheet time: 12hrs 55mins

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