Free Printable Revision Book Maths Year 8 Easter

1.

What is the first step in solving this equation:
5x + 7 = 12

a)

Divide by 5

b)

Subtract 5

c)

Multiply by 7

d)

Subtract 7

2.

What is the first step to complete when solving this equation?
10 - 3y = 4

a)

Add 10

b)

Subtract 10

c)

Add 3

d)

Divide by -3

3.

What is the first step to complete when solving this equation?
3y - 10 = 4

a)

Add 10

b)

Subtract 10

c)

Add 3

d)

Divide by -3

4.

Solve for x:
8x - 10 = -34

a)

4

b)

3

c)

-3

d)

-24

5.

Solve x -2 = -1

a)

-1

b)

1

c)

3

d)

-3

6.

Solve for the variable. 3x=-27

a)

x=9

b)

x=-30

c)

x=-9

d)

x=-24

7.

Solve for "x" ?
x-9=15

a)

23

b)

6

c)

24

d)

11

8.

Solve for " x" ?
4x-6=30

a)

9

b)

13

c)

36

d)

4

9.

h/3=7

a)

10

b)

4

c)

21

d)

2.33

10.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

11.

y - 14 = 66

a)

80

b)

52

c)

79

d)

Answer Not Given

12.

Solve the equation:
4p = 16

a)

p = 12

b)

p = 64

c)

p = 3

d)

p = 4

13.

Ted bought a dolphin poster for $12. He now has $5. Write and solve a subtraction equation to find out how much money Ted took to the aquarium.

a)

m - 12 = 5

b)

m - 5 = 12

c)

m + 5 = 12

d)

m + 12 = 5

14.

Cheryl gets paid $8 per hour at her job at the record store. She made a total of $96 last week. Write a multiplication equation to show how many hours she worked last week.

a)

96h = 8

b)

h/96 = 8

c)

8h = 96

d)

h/8 = 96

15.

Translate:
Twelve less than a number

a)

12 - x

b)

x - 12

c)

12x

d)

x + 12

16.

Solve:
2x + 1 = 5

a)

3

b)

2

c)

-2

d)

-3

17.

Solve the equation
x+8=-22

a)

30

b)

14

c)

-14

d)

-30

18.

A(n) ______________ is a statement that two mathematical expression are equal

a)

equation

b)

inverse operation

c)

solution of an equation

d)

expression

19.

Multiplying 5 and dividing 5 are ________________.

a)

equations

b)

inverse operations

c)

solutions of an equation

d)

expressions

20.

Write an equation for the word sentence:
The sum of a number and 4.5 is 8.2.

a)

8.2=4.5n

b)

n+4.5=8.2

c)

8.2n=4.5

d)

n-4.5=8.2

21.

Write an equation for the word sentence:
Three times the cost is $24.

a)

3c=24

b)

24c=3

c)

c+3=24

d)

c-3=24

22.

Determine whether the given value of the variable is a solution of the equation.
x - 24 = 58; x = 82

a)

yes

b)

no

23.

Determine whether the given value of the variable is a solution of the equation.
⅓c = ⅜; c = ¾

a)

no

b)

yes

24.

Solve the equation:
a + 2.4 = 7.8

a)

a = 10.2

b)

a = 5.4

c)

a = 17.76

d)

a = 3.25

25.

Solve the equation:
b - ¼ = 3 ½

a)

b = 3 ¼

b)

b = 14

c)

b = ⅞

d)

b = 3 ¾

26.

Solve the equation:
3x = 27

a)

x = 9

b)

x = 24

c)

x = 81

d)

x = 30

27.

Solve the equation:
⅓s = ⅕

a)

s = ⅕

b)

s = ⅗

c)

s = 5/3

d)

s = 2/15

28.

Solve the equation:
t ÷ 4 = 16

a)

t = 4

b)

t = 12

c)

t = 20

d)

t = 64

29.

Solve the equation:
w ÷ 7 = 0.3

a)

w = 0.043

b)

w = 7.3

c)

w = 2.1

d)

w = .3/7

30.

A stadium has a total of 18,000 seats. Of these, 7,500 are field seats, and the rest are grandstand seats. Which equation could be used to find the number of grandstand seats s?

a)

s + 7,500 = 18,000

b)

s - 7,500 = 18,000

c)

s + 18,000 = 7,500

d)

s - 18,000 = 7,500

31.

Aaron wants to buy a bicycle that costs $128. So far, he has saved $56. The equation
a + 56 = 128 can be used to find the amount a in dollars that Aaron still needs to save. What is the solution of the equation?

a)

a=64

b)

a=72

c)

a=132

d)

a=184

32.

Ms. McNeil buys 2.4 gallons of gasoline.
The total cost is $7.56. The equation
2.4p = 7.56 can be used to find the price p in dollars of the one gallon of gasoline. What is the price of one gallon of gasoline?

a)

$1.81

b)

$2.40

c)

$3.15

d)

$5.16

33.

Crystal is picking blueberries. So far, she has filled ⅔ of her basket, and the blueberries weigh ¾ pound. The equation
⅔w=¾ can be used to estimate the weight w in pounds of the blueberries when the basket is full. About how much will the blueberries in Crystal's basket weigh when it is full?

a)

⅜ pound

b)

½ pound

c)

1 ⅛ pound

d)

2 ¼ pound

34.

After driving 25 miles, Kevin has traveled ⅔ of the distance from his house to his friend's house. Use the equation 25=⅔d to find the total distance d in miles to his friend's house.

a)

37.5 miles

b)

2/75 miles

c)

25 2/3 miles

d)

50 miles

35.

Alyssa's cat weighs 12 pounds, which is ⅜ 0f the weight of her dog. Use the equation
⅜d=12 to find the weight of Alyssa's dog.

a)

5 ¾ pounds

b)

32 pounds

c)

96 pounds

d)

36 pounds

36.

Randall bought 16 baseball cards from Max, which is ⅖ of Max's collection. Use the equation 16 = ⅖c to find the number of cards that were in Max's collection.

a)

6 cards

b)

40 cards

c)

15 cards

d)

32 cards

37.

Three-fifths of the animals on a family farm are pigs, and there are 12 pigs on the farm. The equation ⅗a = 12 can be used to find the total number of animals a on the farm. How many animals are on the farm?

a)

8 animals

b)

20 animals

c)

60 animals

d)

180 animals

38.

To solve the equation:

$2x\ -\ 50\ =\ -98$

What is your first step?

a)

Add 98 to both sides

b)

Divide both sides by 2

c)

Add 50 to both sides

d)

Multiply both sides by 2

39.

To solve the equation:

$2x\ -\ 50\ =\ -98$

First, we add 50 to both sides.

$2x\ =\ -48$

What's your next step?

a)

Add 48 to both sides

b)

Divide both sides by 2

c)

Subtract 2 from both sides

d)

Multiply both sides by 2

40.

To solve the equation:

$-3x\ -\ 32\ =\ -59$

What is your first step?

a)

Add 59 to both sides

b)

Divide both sides by -3

c)

Add 32 to both sides

d)

Multiply both sides by -3

41.

To solve the equation:

$-3x\ -32\ =\ -59$

First, we add 32 to both sides.

$-3x\ =\ -27$

What's your next step?

a)

Add 3 to both sides

b)

Divide both sides by -3

c)

Add 27 to both sides

d)

Multiply both sides by -3

42.

To solve the equation:

$\frac{x}{10}\ -\ 22\ =\ -20$

What is your first step?

a)

Add 22 to both sides

b)

Divide both sides by 10

c)

Add -20 to both sides

d)

Multiply both sides by 10

43.

To solve the equation:

$\frac{x}{10}\ -22\ =\ -20$

First, we add 22 to both sides.

$\frac{x}{10}\ =\ 2$

What's your next step?

a)

Add 10 to both sides

b)

Divide both sides by 10

c)

Multiply both sides by 10

d)

Subtract 2 from both sides

44.

Solve: $8c\ +\ 25\ =\ 89$

(a)

45.

Solve: $-6b\ +\ 36\ =\ -48$

(a)

46.

Solve: $17\ +\ 5x\ =\ -23$

(a)

47.

Solve: $22\ =\frac{b}{2}\ -\ 2$

(a)

48.

What is the value of the expression, if a = 2

7 + a =

a)

14

b)

5

c)

9

d)

7

49.

What is the value of the expression, if p = 22

p + 22

a)

144

b)

66

c)

22

d)

44

50.

What is the value of the expression if b = 9

b - 5 =

a)

3

b)

4

c)

5

d)

14

51.

What is the value of the expression if c = 7

14 + c =

a)

21

b)

22

c)

7

d)

6

52.

What is the value of the expression if n = 7

n + 9 =

a)

2

b)

16

c)

7

d)

3

53.

What is the value of the expression if r = 5

14 - r =

a)

9

b)

5

c)

3

d)

2

54.

What is the value of the expression if e =13

14 + e =

a)

1

b)

13

c)

17

d)

27

55.

What is the value of the expression if m = 11

21 - m =

a)

11

b)

12

c)

7

d)

10

56.

What is the value of the expression if v = 15

20 - v =

a)

5

b)

10

c)

15

d)

35

57.

What is the value of the expression if k = 20

k - 7 =

a)

2

b)

13

c)

27

d)

14

58.

What is the power to this problem?

6 x 6 x 6 x 6 x 6 x 6 x 6

a)

6 to the 7th power

b)

6 to the 8th power

c)

7 to the 9th power

d)

10 to the 5th power

59.

In the exponent 3⁴, the three represents____________ ?

a)

power

b)

base

c)

exponent

d)

integers

60.

What special word do you use for the exponent of 2?

a)

squared

b)

cubed

c)

triangled

d)

boxed

61.

What is the number in a power that tells how many times the base is used as a factor?

a)

Expression

b)

Exponent

c)

Factor

d)

Term

62.

Any number written to the 0 power is always 1
Example: 8⁰=1

a)

True

b)

False

63.

Which is GREATER?

2⁷ or 7²

a)

2⁷

b)

7²

c)

Neither, they are equal

64.

2⁵ is the same as 2 x 5.

a)

True

b)

False

65.

Which is equivalent to 2⁴?

a)

8

b)

20

c)

16

d)

12

66.

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7

?

a)

7⁵

b)

7⁶

c)

6⁷

d)

7⁷

67.

What does the term"cubed" mean?

a)

raised to the power of 2

b)

raised to the power of 3

c)

raised to the power of 4

68.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

69.

Find the value of the power.

3³

a)

9

b)

6

c)

27

d)

12

70.

Which number is the EXPONENT?

4^{2 =}16

a)

4

b)

2

c)

16

71.

Scott sends an email to 3 people and each of those people will send the email to 3 more people, and so on. Which expression shows the number of people that will receive the email after the fourth round?

a)

5⁵

b)

4³

c)

3⁴

d)

10¹

72.

At the carnival, the total number of people who rode the Ferris wheel tripled every hour the park was open. Write an exponential expression to represent the number of people who rode the Ferris wheel in the first five hours the park was open. Then, solve the expression.

4 lines

73.

Write 2 x 2 x 3 x 3 x 3 in index notation (with exponents).

a)

4 x 27

b)

23⁵

c)

2² x 3³

d)

2³x 3²

74.

Write 4 x 6 x 6 x 7 x 7 x 7 in index notation.

a)

4 x 6⁶ x 6⁶

b)

4 x 6 ²x 7³

c)

4 x 36 x 343

d)

467⁶

75.

Write 2 x 2 x 2 x 2 in index form

a)

2³

b)

2⁵

c)

16

d)

2⁴

76.

Simplify: χ³ ÷ χ²

a)

χ

b)

χ⁵

c)

χ⁶

d)

χ^-1

e)

1/χ

77.

Write (4⁷ x 4³) ∕ 4⁴ as a single power

a)

4¹⁴

b)

4¹

c)

4⁸

d)

4⁶

78.

Evaluate 2³+ 3²

a)

72

b)

36

c)

12

d)

17

79.

(y⁹)^-2

a)

y¹⁸

b)

y¹¹

c)

1/y¹⁸

d)

y⁹/2

80.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

81.

Simplify: 4x²y × 9xy²

a)

36x³y³

b)

36xy³

c)

13x²y²

d)

13x³y³

82.

a⁷×a⁴÷a⁵

a)

a⁷

b)

a⁶

c)

a⁴

d)

a¹¹

83.

a)

y⁴

b)

y⁵

c)

y⁶

d)

6^y

84.

a)

t²⁴

b)

t¹²

c)

t¹⁸

d)

t^-12

85.

Simplify: (4pq³)² ÷ (2p²q)³

a)

2p^-4q³

b)

8p⁴q³

c)

16p⁴q²

d)

4p^-4q²

86.

Simplify

a)

10x³

b)

x⁴ / 2

c)

x³

d)

x³ / 2

87.

a)

3y⁶

b)

6y³

c)

4y⁶

d)

3y⁴

88.

What is the area of a rectangle if its dimensions are listed below:
length = 10x⁷
width = 7x⁵Hint: Area = (length)(width)

a)

70x¹²

b)

70x³⁵

c)

17x¹²

d)

17x³⁵

89.

Simplify.

a)

A

b)

B

c)

C

d)

D

90.

8

a)

W

b)

O

c)

R

d)

K

91.

Simplify (34x⁵y⁶z^-7)⁰

a)

34x⁵y⁶ / z⁷

b)

34x⁵y⁶ / x^-7

c)

0

d)

1

92.

a)

a⁷

b)

a¹

c)

1/a¹²

d)

a¹²

93.

a)

12

b)

8

c)

4

d)

2

94.

a)

1/7

b)

7

c)

24.5

d)

-7

95.

Write 6²x 6³as a single power

a)

7776

b)

6⁶

c)

6⁵

d)

36⁵

96.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

97.

a⁷×a⁴÷a⁵

a)

a⁷

b)

a⁶

c)

a⁴

d)

a¹¹

98.

(3x²y³)²

a)

9x⁴y⁶

b)

3x⁴y⁵

c)

6x⁴y⁶

d)

9xy

99.

Simplify 5^-2

a)

-10

b)

1/25

c)

1/(5)²

d)

-1/10

100.

Write 2 x 2 x 2 x 2 in index form

a)

2³

b)

2⁵

c)

16

d)

2⁴

101.

(y⁹)^-2

a)

y¹⁸

b)

y¹¹

c)

1/y¹⁸

d)

y⁹/2

102.

Which is the base and which is the power? 5²

a)

5 is base and 2 is power

b)

5 is base and power

c)

2 is base and 5 is power

d)

2 is base and power

103.

(4a)²=

a)

4a²

b)

16a²

c)

8a²

d)

8a

104.

x^-3

a)

1/x³

b)

1/x^-3

c)

3x

d)

1/3x

105.

How else can you write $\sqrt{x}$ ?

a)

$x^{\frac{1}{2}}$

b)

$x^2$

c)

$x^{-2}$

d)

$x^{\frac{1}{4}}$

106.

64^⅓=

a)

4

b)

8

c)

6

d)

21.3

107.

How else could you write $4^{-2}$ ?

a)

$16$

b)

$-16$

c)

$-\frac{1}{16}$

d)

$\frac{1}{16}$

108.

Which of the following is incorrect?

a)

$a^2\times a^6=a^{12}$

b)

$a^8\div a^3=a^5$

c)

$a^6\times a^3=a^9$

d)

$\left(\frac{2}{a}\right)^2=\left(\frac{4}{a^2}\right)$

109.

What is $8^{\frac{1}{3}}$ ?

a)

$\frac{8}{3}$

b)

24

c)

2

d)

$\frac{23}{3}$

110.

$^4\sqrt{3^5}$ is equal to

a)

$3^{\frac{4}{5}}$

b)

$3^{\frac{5}{4}}$

c)

$3^{\frac{1}{5}}$

d)

$3^{\frac{1}{4}}$

111.

Simplify

$^3\sqrt{125}$

a)

5

b)

15

c)

25

d)

41.7

112.

Evaluate 4^5/2

a)

32

b)

16

c)

8

d)

2

113.

What is 2⁵

a)

8

b)

16

c)

32

d)

64

114.

What is 6¹

a)

1

b)

6

c)

3

d)

2

Revision Book Maths Year 8 Easter

Total questions: 114

Worksheet time: 2hrs 26mins

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