Free Printable Year 7 Exam Revision

1.

3x + 4

a)

Expression

b)

Equation

2.

3x + 4 = 13

a)

Expression

b)

Equation

3.

x + 6

a)

Expression

b)

Equation

4.

x + 6 = (- 4)

a)

Expression

b)

Equation

5.

Is this true for an expression or an equation?

a)

expression

b)

equation

c)

both expression and equation

d)

neither

6.

Is this true for an expression or an equation?

a)

expression

b)

equation

c)

both expressions and equations

d)

neither

7.

Are these examples of expressions or equations?

a)

expressions

b)

equations

8.

Are the equations true?

49 + 23 = 47 + 25

a)

True

b)

False

9.

Are the equations true?

75 + 48 = 65 +38

a)

True

b)

False

10.

True or False:

46 - 23 = 40 - 29

a)

True

b)

False

11.

True or False:

58 + 30 = 88 - 5

a)

True

b)

False

12.

What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10 - 4 = v

d)

Answer not Given

13.

What is the solution for x + 9 = 21

a)

10

b)

12

c)

11

d)

13

14.

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

15.

m+13=21

a)

m=34

b)

m=8

c)

m=273

d)

m=6

16.

Solve for y:
y - 7 = 10

a)

17

b)

-3

c)

3

d)

-17

17.

k+8=15

a)

k=23

b)

k=10

c)

k=7

d)

k=11

18.

5. 6b = 30

a)

x = 36

b)

x = 24

c)

x = 180

d)

x = 5

19.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

20.

Solve the equation below:

a)

k = 152

b)

k = 176

c)

k = 5

d)

k = 27

21.

144=12z

a)

z=20

b)

z=11

c)

z=12

22.

a)

6.1

b)

12.7

c)

-11.2

d)

27.3

23.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

24.

5x-1=19

a)

$x=4$

b)

$x=10$

c)

$x=5$

d)

$x=15$

25.

$\frac{x}{4}+8=10$

a)

$x=-4$

b)

$x=-8$

c)

$x=8$

d)

$x=16$

26.

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

a)

7x + 35 = 63

b)

7x = 63

c)

7x - 35 = 63

d)

35x + 7 = 63

27.

472 students are going on a field trip. 120 students will be returning home and the rest will be spending the night in cabins. If a cabin sleeps 8 people, how many cabins need to be rented?

a)

4 cabins

b)

44 cabins

c)

59 cabins

d)

74 cabins

28.

After paying $3.32 for a sandwich, Brenda has $19.79. How much money did she start with? Which equation could you use to solve this problem?

a)

3.32m=19.79

b)

m-19.97=3.32

c)

m-3.32=19.79

29.

The local service center advertises that it charges a flat fee of $50 plus $8 per km to tow a vehicle. Write an equation that represents the total cost (C) of a service for m kilometres of towing.

a)

y = 8x + 50

b)

C = 50m +8

c)

y = 50x + 8

d)

C = 8m + 50

30.

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation for C, the total cost, to rent the boat for h hours.

a)

h = 2C + 15

b)

C = 15h + 2

c)

h = 15C + 2

d)

C = 2h + 15

31.

Scott's Automotive charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie was charged $63.

a)

35x + 7 = 63

b)

7x = 63

c)

7x - 35 = 63

d)

7x + 35 = 63

32.

In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation that models this situation.

a)

y = 20x + 5

b)

y = 5x + 20

c)

x = 5y + 20

d)

x = 20y + 5

33.

A plumber charges $50 to make a house call. He also charges $25 per hour for labor.

How much would it cost for 2.5 hours of labor?

a)

$100

b)

4.50

c)

$112.50

d)

$65.00

e)

$123.45

34.

Which equation would describe "two times a number plus five equals 15"?

a)

x + 5 = 15

b)

2x + 5=15

c)

x + 2(5) = 15

d)

2(x + 5) = 15

35.

Select = or ≠ to make the statement true

a)

≠

b)

=

36.

Select = or ≠ to make the statement true

a)

≠

b)

=

37.

Select = or ≠ to make the statement true

a)

≠

b)

=

38.

Select = or ≠ to make the statement true

a)

≠

b)

=

39.

Select = or ≠ to make the statement true

a)

≠

b)

=

40.

Select = or ≠ to make the statement true

a)

≠

b)

=

41.

Select = or ≠ to make the statement true

a)

≠

b)

=

42.

Select = or ≠ to make the statement true

a)

≠

b)

=

43.

(a) + 23 - 23 = 74

44.

___ - 41 + 41 = 53

a)

53

b)

41

c)

35

d)

14

45.

12 + 3 - (a) = 12

46.

Which expression is equivalent to a+a+a?

a)

a³

b)

3a

c)

3^a

d)

3+a

47.

Which expression is equivalent to e + e + e + e + e + e + e + e?

a)

e⁸

b)

8e

c)

8^e

d)

8+e

48.

What is the difference between an expression and an equation

a)

Expressions have an equal sign and equations do not

b)

Equations have an equal sign and expressions do not

49.

Kiran says that a solution to the equation $x+4=20\$ must also be a solution to the equation $5\left(x+4\right)=100$ . Select the most convincing reason why this is true.

a)

It just is.

b)

If you multiply both sides of $x+4=20$ by 5, you get $5\left(x+4\right)=100$ .

c)

Because $5x+4=100$ .

d)

The equations are just equivalent.

50.

12x = 144

a)

x = 12

b)

x = 4

c)

x = 2

d)

x = 132

51.

4a + 3 = 15

a)

2

b)

4

c)

1

d)

3

52.

Solve for x: 7 (2x - 4) = 42

a)

x = 2

b)

x = 8

c)

x= 5

d)

x = 9

53.

What operation would you perform first and then second when solving for m in the following equation?

10 + 7m = 17

a)

subtract 10, and then divide by 7

b)

divide by 7, and then subtract 10

c)

multiply by 7, and then subtract 10

d)

add 10, and then multiply by 7

54.

What is the first step to solve this equation:

3x + 11 = 44

a)

Subtract 3 from both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

55.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

56.

3 = 5x - 12

a)

2 = x

b)

4 = x

c)

3 = x

d)

-1 = x

57.

y/3 + 6 = 9

a)

15

b)

9

c)

3

d)

12

58.

9 = 2s + 1

a)

4

b)

-4

c)

3.5

d)

5

59.

What is the first step in solving this equation 8x - 6 = 10

a)

Add 6

b)

Subtract 8

c)

Divide by 8

d)

Subtract 6

60.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

61.

a)

2

b)

4

c)

6

d)

8

62.

What is the first step in solving
3x - 2 = -5?

a)

Subtracting 2 from each side

b)

Adding 2 to each side

c)

Multiplying by 3 on each side

d)

Dividing by 3 on each side

63.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

64.

Which equation has x=9 as a solution

a)

4 + x = 12

b)

5x = 45

c)

2x = 20

d)

x + 7 = 26

65.

What is the solution of r - 11 = 5

a)

11

b)

14

c)

15

d)

16

66.

Janeen's mother is 47. She is 26 years older than Janeen. Which equation can be used to find Janeen's age j?

a)

j + 26 = 47

b)

26j = 47

c)

j - 26 = 47

d)

47j = 26

67.

What is the solution of 42 = 7f

a)

294

b)

49

c)

35

d)

6

68.

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

69.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

70.

The variable, k, is being divided by 11. How should you show your work to isolate the variable?

a)

Divide both sides by 11

b)

Multiply both sides by 11.

c)

Add 11 to both sides.

d)

Subtract 11 to both sides.

71.

What is the inverse operation of subtraction?

a)

Subtraction

b)

Multiplication

c)

Division

d)

Addition

72.

Which equation has w = 8 as the solution?

a)

8w= 64

b)

16w = 240

c)

16 - w = 9

d)

4 + w = 10

73.

What is the first inverse operation needed to solve for y?

2y - 254= 900

(think: what is step one?)

a)

subtraction

b)

addition

c)

multiplication

d)

division

74.

Level 3

Identify the steps to solve for b

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

75.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

76.

6p - 5 =13

a)

12

b)

15

c)

3

d)

-3

77.

5(2x - 7) = 80

a)

x = 11.5

b)

x = 115

c)

x = 12

d)

x = 16

78.

Solve for x.

a)

55

b)

60

c)

15

d)

35

79.

Solve the equation:
^x/₃+ 10 = 15

a)

75

b)

15

c)

25

d)

5

80.

Solve the following equation:

\frac{x+10}{2}=15

You only need to write the number.

(a)

81.

Solve for a.

a)

a = pw

b)

a = p/w

c)

a = w/p

d)

a = w + p

82.

S = 3F - 24 Solve for F

a)

F = (S + 24)/3

b)

F = S/3 + 24

c)

F = 3S + 24

d)

F = 3(S + 24)

83.

Solve for t.
D= rt

a)

D/r = t

b)

Dr = t

c)

D/t = r

d)

Dt = r

84.

$4b+7=27$

What is the solution for the equation,

a)

-18

b)

5

c)

-19

d)

-9

85.

To solve x - 4 = 7, what would you do to both sides?

a)

add 7 to both sides

b)

subtract 7 from both sides

c)

add 4 to both sides

d)

subtract 4 from both sides

86.

To solve 13 = x + 5, what do you do to both sides?

a)

Subtract 5 from both sides

b)

Add 5 to both sides

c)

Subtract 13 from both sides

d)

Add 13 to both sides

87.

To solve 15 = 9 + x, what do you do to both sides?

a)

Subtract 15 from both sides

b)

Add 15 to both sides

c)

Subtract 9 from both sides

d)

Add 9 to both sides

88.

To solve 4x = 20, what do you do to both sides?

a)

Subtract 4 from both sides

b)

Add 4 to both sides

c)

Multiply 4 on both sides

d)

Divide 4 from both sides

89.

To solve addition equations, you should...

a)

add

b)

subtract

c)

multiply

d)

divide

90.

To solve subtraction equations, you should...

a)

add

b)

subtract

c)

multiply

d)

divide

91.

To solve multiplication equations, you should...

a)

add

b)

subtract

c)

multiply

d)

divide

92.

To solve division equations, you should...

a)

add

b)

subtract

c)

multiply

d)

divide

93.

To solve 16 = x - 4, what do you do to both sides?

a)

add 4 to both sides

b)

subtract 4 from both sides

c)

add 16 to both sides

d)

subtract 16 from both sides

94.

An equation always has an equals sign.

a)

True

b)

False

95.

To solve 10x = 45, what do you do to both sides?

a)

Subtract 10 from both sides

b)

Divide 10 from both sides

c)

Subtract 45 from both sides

d)

Divide 45 from both sides

96.

When solving equations, mathematicians want to get the variable (x) all by itself.

a)

True

b)

False

97.

If you subtract 2 from one side, you have to...

a)

add 2 to the other side

b)

subtract 2 from the other side

c)

multiply 2 on the other side

d)

divide 2 from the other side

98.

If you subtract 3 from one side, you have to subtract 3 from the other side.

a)

True

b)

False

99.

Solve. Write the number only. 3x=99

(a)

100.

Lucas made $87 after working for 4 hours. Write a multiplication equation to represent this situation.

a)

4h=87

b)

87h=4

c)

h/4=87

d)

h/87=4

101.

In math, this basically means opposite

a)

inverse

b)

equation

c)

expression

d)

constant

102.

12x = 144

a)

x = 12

b)

x = 4

c)

x = 2

d)

x = 132

103.

5 = 7s - 9

a)

2

b)

6

c)

7

d)

8

104.

4a + 3 = 15

a)

2

b)

4

c)

1

d)

3

105.

Solve for x:

2x - 3 = 1

a)

x = 3

b)

x = 2

c)

x = 1

d)

x = -2

106.

Solve for x:

7(2x - 4) = 42

a)

x = 5

b)

x = 8

c)

x = 2

d)

x = 9

107.

Solve: 9 + k = 18

a)

k = 18

b)

k = 9

c)

k = 8

d)

k = 7

108.

Solve: 3w = 30

a)

w = 6

b)

w = 9

c)

w = 10

d)

w = 12

109.

Solve: 13 = t + 7

a)

t = 5

b)

t = 6

c)

t = 7

d)

t = 20

110.

Solve: 33 = 4a - 7

a)

a = -10

b)

a = 10

c)

a = 4.5

111.

Solve the equation:

^x/₃+ 10 = 15

a)

x = 75

b)

x = 15

c)

x = 25

d)

x = 5

112.

If the amount of fuel (in litres) a race car needs is given by

Amount of fuel = no. of laps left x 20

How many litres are needed if there are

3 laps left

a)

30

b)

40

c)

50

d)

60

113.

If the amount of fuel (in litres) a race car needs is given by

Amount of fuel = no. of laps left x 20

How many litres are needed if there are

5 laps left

a)

80

b)

100

c)

50

d)

60

114.

If the amount of fuel (in litres) a race car needs is given by

Amount of fuel = no. of laps left x 20

How many litres are needed if there are

10 laps left

(a)

115.

If the downforce created by the car is given by

downforce = speed x 4

How much downforce is generated if the car is travelling at 20 miles per hour?

a)

20

b)

40

c)

60

d)

80

116.

If the difficulty rating of a track is given by:

difficulty = no. of corners x 7

What would the difficulty rating of a track be if it had 5 corners?

a)

5

b)

7

c)

12

d)

35

117.

If the stopping distance (in metres) of a car is given by

Stopping distance = speed + 50

What is the stopping distance of a car travelling at 30mph

a)

30

b)

50

c)

80

d)

100

118.

Consider the rule: k=3b+2. Find the value of k if b=5.

(a)

119.

Consider the rule: k=3b+2. Find the value of k if b=10.

(a)

120.

Consider the rule: k=3b+2. Find the value of b if k=23.

(a)

121.

Consider the rule: k=3b+2. Find the value of b if k=23.

(a)

122.

Using the formula B = 5A + 7, find the value of B if A=2.

(a)

123.

Using the formula B = 5A + 7, find the value of B if A=12.

(a)

124.

Using the formula B = 5A + 7, find the value of A if B=52.

(a)

125.

Consider the rule Q = w(4 + t). Find the value of Q if w = 10 and t = 3.

(a)

126.

Consider the rule F = mg - 5. Find the value of F if m = 7 and g = 10.

(a)

127.

Consider the rule F = mg - 5. Find the value of m if F = 95 and g = 10.

(a)

Year 7 Exam Revision - Equations

Total questions: 127

Worksheet time: 11hrs 35mins

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