Free Printable Y8 Final revision

1.

b − 3 + 6 − 2b

a)

-b + 3

b)

3b + 9

c)

b + 3

d)

-3b + 3

2.

9 + 5r − 9r

a)

4r + 9

b)

-4r - 9

c)

-4r + 9

d)

5r

3.

−2(7 − n) + 4

a)

-n + 18

b)

-2n - 10

c)

-n + 9

d)

2n - 10

4.

−8(−5b + 7) + 5b

a)

45b − 56

b)

-35b + 7

c)

-45b + 56

d)

10b - 1

5.

−4p − (1 − 6 p)

a)

-10p

b)

2p − 1

c)

-10p -1

d)

-2p - 4

6.

−7(k − 8) + 2k

a)

-5k - 56

b)

-5k - 8

c)

10k - 7

d)

−5k + 56

7.

4 − 5(−4n + 3)

a)

-9n + 7

b)

20n - 11

c)

-20n + 19

d)

20n + 19

8.

1 + 7(1 − 3b)

a)

-3b + 9

b)

21b + 8

c)

-3b + 7

d)

-21b + 8

9.

3 − 8(7 − 5n)

a)

-5n + 59

b)

-40n +31

c)

40n - 53

d)

-35n -5

10.

−6(a + 8)

a)

-6a + 8

b)

-6a - 48

c)

-6a + 2

d)

6a + 48

11.

6(−5n + 7)

a)

-11n + 13

b)

30n + 42

c)

-30n + 7

d)

-30n + 42

12.

−8(1 − 5x)

a)

-8 + 40x

b)

8 + 40x

c)

-8 - 40x

d)

8 - 40x

13.

Factor. 6a + 20

a)

2(a + 10)

b)

6(a + 14)

c)

2(3a + 10)

d)

3(2a + 5)

14.

Factor. 4x + 10

a)

4(x + 10)

b)

2(2x + 10)

c)

4(x + 2)

d)

2(2x + 5)

15.

Factor. 45c + 10d

a)

45(c + 10d)

b)

5(9c + 2d)

c)

5cd(9 + 2)

d)

2(22.5c + 5d)

16.

Factor. 27 - 9x + 15y

a)

9(3 - x + 15y)

b)

3(9 - 3x + 5y)

c)

2(13 - 5x + 7y)

d)

3(9 - 9x + 5y)

17.

addition, subtraction, multiplication, division

a)

operations

b)

solution

c)

algebraic expression

d)

equation

18.

A letter used to represent a number value in an expression or an equation.

a)

equation

b)

operations

c)

variable

d)

algebraic expression

19.

A mathematical statement that says that two expressions have the same value; any number sentence with an =.

a)

solution

b)

factor

c)

algebraic expression

d)

equation

20.

The value of a variable that makes an equation true.

a)

operation

b)

expression

c)

factor

d)

solution

21.

Which statement is true?

a)

2(3 +4) = 2(3) - 2(4)

b)

2(3) + 2(4) = 2(3 +4)

c)

2(3 + 4) = 2(3) x 2(4)

22.

Which expression is equivalent to 3(n -6)?

a)

3n - 6

b)

n - 18

c)

3n - 18

d)

3n - 9

23.

Which equation is equivalent to 2(y + 11) ?

a)

2y + 22

b)

2y + 11

c)

2y + 13

d)

y + 22

24.

Use the distributive property to simplify the expressions 3(4x + 9)

a)

4x + 27

b)

12x + 27

c)

7x + 12

d)

12x + 12

25.

Evaluate 5³

a)

15

b)

25

c)

125

d)

0

26.

Select the values that are coefficient in the expressions 2x²+ x + 3

a)

3

b)

x² and x

c)

2

d)

2 and 1

27.

Select the values of the coefficients 5x - 4s + 12 - 2

a)

5x - 4s

b)

5 and -4

c)

12 and 2

d)

There are none

28.

$\frac{5}{9\ }$ (F - 32) is the expression that converts degrees Fahrenheit to Celsius. What is the temperature when F= 113?

a)

45

b)

63

c)

54

d)

130

29.

What is the value of the expression 2x² - 5y + 3 when x=3 and y=3

a)

0

b)

30

c)

6

d)

-3

30.

Which expression is equivalent to 5 * 5 * 5 * 5 * 5 * 5

a)

5⁶

b)

6⁵

c)

5 + 5⁴

31.

Which expression is equivalent to 3 * 3 * 3 * 3?

a)

9 * 3²

b)

27

c)

12

d)

6 + 6

32.

Ashley has c cookies for lunch and Iliana has 3 times as many. Which expression shows how many cookies Iliana has for lunch?

a)

3 + c

b)

3c + c

c)

3/c

d)

3c

33.

b² + 4
when b = 3

a)

10

b)

12

c)

13

d)

11

34.

6a - 3d
when a = 1, d = 2

a)

3

b)

12

c)

1

d)

0

35.

Evaluate 3x + 8 if x = 2

a)

13

b)

14

c)

15

d)

16

36.

Evaluate the expression:

3d if d = 5

a)

3

b)

5

c)

12

d)

15

37.

Evaluate the expression:

2 + m if m = 7

a)

5

b)

27

c)

9

d)

72

38.

A variable is a

a)

number

b)

letter that represents a number

39.

Evaluate the expression:

3h + 2 for h=10

a)

20

b)

32

c)

24

d)

38

40.

Name the variable: 20 - 2x

a)

20

b)

2

c)

x

d)

a

41.

Evaluate the expression:

4w - 3y if w = 7 and y = 6

a)

24

b)

21

c)

10

d)

46

42.

Evaluate the expression:

3b + 4c if b = 9 and c = 3

a)

27

b)

12

c)

15

d)

39

43.

Evaluate the expression:

5m + 7 if m = 5

a)

12

b)

25

c)

32

44.

Evaluate m - n if m = 29 and n = 11

a)

29

b)

18

c)

11

45.

Which of the following expressions contains a variable?

a)

7+3

b)

144÷12

c)

7 + 15n

d)

6(5)

46.

Evaluate m² if m = 7.

a)

14

b)

49

47.

Evaluate 3d if d = 5.

a)

3

b)

5

c)

12

d)

15

48.

Evaluate n³ if n = 5.

a)

15

b)

125

49.

Evaluate 7a - 6 if a = 3.

a)

15

b)

67

50.

Evaluate 9b + 15 if b = 3.

a)

42

b)

108

51.

Evaluate y - 17 if y = 28.

a)

11

b)

17

c)

27

d)

28

52.

Evaluate 3m if m = 4.

a)

3

b)

5

c)

12

d)

15

53.

What is the value of the expression below?
5 + 3(4 + 2) ÷ 2

a)

24

b)

14

c)

17

d)

26

54.

Which expression has a value of 24?

a)

4 + 8 - 5 + 9 + 24

b)

(8 - 3) + 2 x 7 - 5

c)

4[6 - (9 - 8)] + 4

d)

3 x 6 + 3 x 3 + 0

55.

5(4 + 2) ÷ 2 + 8

a)

40

b)

3

c)

31

d)

23

56.

8a + 3a

a)

11a

b)

5a

c)

11

d)

a

57.

3a + 2 + a

a)

4a + 2

b)

5a

c)

6a

d)

2a + 2

58.

5a - 6b + 4a + 3b

a)

9a - 3b

b)

a + b

c)

6ab

d)

-b + a

59.

3 - 5(a - 4)

a)

23 - 5a

b)

5a - 23

c)

18a

d)

-18a

60.

7(a + 8) - 5a + 4

a)

2a + 60

b)

-5a + 60

c)

2a + 56

d)

7a + 4

61.

-5a - 2(a - 1)

a)

-7a + 2

b)

-9a

c)

-7a - 2

d)

12a - 2

62.

x + 2x

a)

2x²

b)

3x

c)

Can't be simplified

63.

3(a - 14) - 5(a + 12)

a)

-2a - 102

b)

-104a

c)

8a - 2

d)

no solution

64.

A _____________ is a symbol, usually a letter that stands for a number.

a)

coefficient

b)

algebraic expression

c)

variable

d)

term

65.

A(n) __________________ consists of one or more numbers, variables, and operations.

a)

numeric expression

b)

term

c)

variable

d)

algebraic expression

66.

Which of the following is an example of an algebraic expression?

a)

3(2 + 7) - 10

b)

78 - 5 + 3

c)

3x + 6y

d)

8(3) - 5 + 2

67.

Which of the following terms mean "addition"?

a)

of

b)

how many

c)

total of

d)

shared

68.

Which of the following terms means "subtract"?

a)

half

b)

less than

c)

double

d)

per

69.

A(n) __________________ is a number and/or variable that is separated by addition or subtraction.

a)

variable

b)

term

c)

coefficient

d)

expression

70.

A ______________ is a number multiplied by a variable.

a)

term

b)

variable

c)

coefficient

d)

numerical expression

71.

Difference, minus, less than, and decreased by are all words that mean ______________.

a)

add

b)

subtract

c)

multiply

d)

divide

72.

How many terms are in the given expression?
5² + 7n - 2f

a)

6

b)

5

c)

3

d)

2

73.

Which verbal expression represents the given expression?
3(4-x)

a)

four minus the number x divided by 3

b)

three times four less than a number x

c)

three times the quantity x less than four

d)

four subtracted from x times three

74.

Which expression represents: "the product of 3 and x increased by 5"?

a)

5x - 3

b)

3 - 5x

c)

3x + 5

d)

3x(5)

75.

Which expression represents "x cubed less than 7"?

a)

x³ - 7

b)

3x - 7

c)

7 - x³

d)

7 - 3x

76.

What is the coefficient of the following expression?
7c + 8

a)

c

b)

7

c)

8

d)

1

77.

What is the coefficient in the given expression: 2 - p + 4?

a)

0

b)

4

c)

2

d)

1

78.

Which set of words mean "exponent"?

a)

cubed, squared, increased, twice

b)

cubed, twice, squared, double

c)

cubed, squared, power

d)

cubed, squared, twice, triple

79.

"Twice the quantity of" means you will use ____________ to write the expression.

a)

addition

b)

subtraction

c)

division

d)

parenthesis

80.

The algebraic expression 6x - 4 can be written as which of the following?

a)

x to the sixth power decreased by four

b)

The product of six and a number x decreased by four

c)

Six times a number x less than four

d)

four less than six

81.

Kendra’s math teacher assigned math homework, but Kendra decided to do 5 extra problems. Which algebraic expression shows how many problems Kendra completed?

a)

5x

b)

x-5

c)

x+5

d)

x⁵

82.

Andy and 4 friends equally shared some pizzas. How much did they each eat?

a)

4x

b)

x / 4

c)

5x

d)

x / 5

83.

Carla and her sisters each earned 9 dollars for babysitting. Which expression represents how much Carla and her sister earned altogether?

a)

9 + x

b)

9x

c)

2(9 + x)

d)

2x + 9

84.

Find the mean of these numbers:
2, 57, 38, 42, 6

a)

29

b)

38

c)

50

d)

145

85.

Find the median of these numbers:
4,2,7,4,3

a)

2

b)

5

c)

7

d)

4

86.

To find the _________ you add up all the numbers and then divide by how many numbers you have.

a)

Mean

b)

Median

c)

Mode

d)

Range

87.

To find the ______ you put all numbers in order from least to greatest and then take the largest number minus the smallest number.

a)

Mean

b)

Median

c)

Mode

d)

Range

88.

To find the ________ you put all numbers in order from least to greatest and find the number that is in the middle.

a)

Mean

b)

Median

c)

Mode

d)

Range

89.

Find the median.
12, 5, 9, 18, 22, 25, 5

a)

9

b)

8

c)

12

d)

18

90.

A data set can have more than one mode

a)

True

b)

False

91.

Find the Mean of:
8, 14, 32, 6, 15

a)

15

b)

175

c)

75

d)

12

92.

What is the median of:
6, 12, 16, 11, 8, 4, 1, 11, 4

a)

11

b)

6

c)

8

d)

7

93.

What is the mean of the data below?

1 , 5 , 10 , 11 , 20

a)

10

b)

9.4

c)

19

d)

9.1

94.

What is the median of the data below?

20 , 3 , 17 , 1 , 5

a)

5

b)

17

c)

19

d)

9.2

95.

What is the mode of the data below?

12 , 14 , 5 , 12 , 5 , 12 , 11

a)

5

b)

12

c)

5 and 12

d)

11.8

96.

What is the median of this data set?

3 , 17 , 17 , 11 , 8 , 13 , 5 , 18

a)

11

b)

12

c)

13

d)

17

97.

When finding the median, what do you do if there are two middle numbers?

a)

Add them together and divide by 2

b)

Write them both as the answer

c)

Give up

d)

Pick one

98.

In order to find the median, the data must be sorted from least to greatest first.

a)

True

b)

False

99.

Lizzy had test scores of: 72, 94, 108, 60
What is the RANGE of her test scores?

a)

12

b)

72

c)

48

d)

98

100.

What is the range?
8, 10, 60, 3, 5, 13, 12, 40, 8

a)

55

b)

8

c)

57

d)

17.7

101.

What is the range?

a)

The sum of the largest and smallest number

b)

The number in the middle

c)

The difference between the largest and smallest number

d)

The number that appears most often

102.

What is the mean of these numbers?
4,5,5,2,3,3,2,8

a)

40

b)

24

c)

4

d)

256

103.

Find the mode:
5, 0, 9, 9, 3, 0, 5, 5, 4

a)

9

b)

5

c)

3

d)

7

104.

Find the mode of these numbers:

4,3,6,4,3,6,6,3,2,1,3

a)

3

b)

6

c)

4

d)

2

105.

Find the mean of these numbers:
5,11,2,12,4,2

a)

4.1

b)

6

c)

4.5

d)

4

106.

Find the mode of these numbers:
4,4,6,6,2,2,6,2,4,2

a)

2

b)

4

c)

6

d)

2.4

107.

What is the mode?

a)

# happening the most

b)

the average

c)

biggest - smallest

d)

the middle #

108.

What is the mean?

a)

# happening the most

b)

the number in the middle

c)

biggest-smallest

d)

the average

109.

What is the range?

a)

average

b)

biggest-smallest

c)

the middle #

d)

# happening the most

110.

What is the median?

a)

biggest- smallest

b)

average

c)

the middle #

d)

# that happens the most

111.

Find the range of these numbers:
15,2,3,7,8,4,3,2,16,2,4

a)

2

b)

13

c)

14

d)

7

112.

Find the mean of these numbers:
4,2,5,6,3

a)

2

b)

5

c)

4

d)

6

113.

Find the median of these numbers:
4,2,7,4,3

a)

2

b)

5

c)

7

d)

4

114.

At Dominique's Donuts the number of donut holes in a bag can vary. Help Dominique find the mode.
12,10,10,10,13,12,11,13,10

a)

13

b)

12

c)

11

d)

10

115.

The scores awarded to 25 students for an assignment were as follows:
4 7 5 9 8 6 7 7 8 5 6 9 8 5 8 7 4 7 3 6 8 9 7 6 9
What is the mode?

a)

6

b)

7

c)

8

d)

9

116.

The number of miles that Jenna cycled each week for a 7-week period is shown:
36, 42, 28, 52, 48, 36, 31
What is the median number of miles Jenna cycled?

a)

24

b)

36

c)

39

d)

52

117.

Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142.
What is the range of Roger's scores?

a)

193

b)

127

c)

60

d)

66

118.

Find the area.

a)

40 in²

b)

40

c)

40 in

d)

4 in²

119.

What is the area?
(A=hb÷2)

a)

12cm²

b)

14

c)

14cm²

d)

145

120.

Find the area?

a)

15 in²

b)

30 in²

c)

15 in

d)

30 in

121.

What units do we use to show area?

a)

units

b)

squared units

c)

cubed units

122.

Find the area of this shape

a)

13 cm

b)

36cm²

c)

13cm²

d)

36cm

123.

Find the area of this shape

a)

49 inches squared

b)

42 inches squared

c)

153 inches squared

d)

200 inches squared

124.

What is the formula for a square?

a)

A= 1/2 bh

b)

A= A= πr²

c)

A= bh

d)

A= 1/2 (b1+b2) h

125.

Find the area of this shape

a)

4.5 m²

b)

5 m²

c)

9 m²

d)

6.3 m²

126.

What is the formula for the area of a triangle

a)

A=bh

b)

A=lw

c)

A=s²

d)

A=1/2(bh)

127.

What is the formula for the area of a parallelogram?

a)

A=bh

b)

A=lw

c)

A=s²

d)

A=1/2(bh)

128.

Find the area?

a)

15 in²

b)

30 in²

c)

15 in

d)

30 in

129.

What is the area of the shaded region?

a)

20 sq cm

b)

4 sq cm

c)

30 sq cm

d)

24 sq cm

130.

Find the volume of the figure.

a)

63 cm³

b)

91 cm³

c)

819 cm³

d)

409.5 cm³

131.

Volume is the amount of space an object takes up.

a)

True

b)

False

132.

What does the "B" in the volume formula V = B x h stand for?

a)

Bottom of the object

b)

Box

c)

Between

d)

Area of the base

133.

Find the volume of this shape

a)

1520.53

b)

276.46

c)

552.93

d)

6082.12

134.

Find the volume of the cone. Round your answers to the nearest tenth.

a)

127.3 yd³

b)

347.6 yd³

c)

287.7 yd³

d)

147.7 yd³

135.

What is this formula used to find?
V=πr²h

a)

The volume of a cylinder

b)

The volume of a cone

c)

The volume of a sphere

d)

The area of a circle

136.

Which cylinder will have a larger volume?

a)

Cylinder A

b)

Cylinder B

137.

Find the volume of the 3Dimensional shape

a)

904.32 ft³

b)

7,234.56 ft³

c)

150.72 ft³

138.

What formula do you need to find the area of the base of a cone and cylinder?

a)

A= bh

b)

A= 1/2bh

c)

A=πr²

d)

V= Bh

139.

What is the volume of the following triangular prism?

a)

45 cubic in

b)

36 cubic in

c)

108 cubic in

d)

54 cubic in

140.

Find the volume.

a)

13680 m³

b)

684 m³

c)

1140 m³

d)

228 m³

141.

Find the volume of the cone. Round your answers to the nearest tenth.

a)

320.4 in³

b)

314 in³

c)

205.5 in³

d)

267.4 in³

142.

a)

V = 840 ft³

b)

V = 420 ft³

c)

V = 140 ft³

d)

V = 280 ft³

143.

A tetrahedron is a pyramid with a triangular base. Find the volume of the tetrahedron.

a)

22 cubic inches

b)

33 cubic inches

c)

66 cubic inches

d)

44 cubic inches

144.

Find the volume of a HEMIsphere with a radius of 4.

a)

85.3π

b)

62.67π

c)

42.67π

d)

8π

145.

What is the volume of the composite solid?

a)

301.6 cm³

b)

502.7 cm³

c)

268.1 cm³

d)

167.6 cm³

146.

Find x.

a)

10

b)

10√3

c)

10√2

d)

20

147.

What is the length of u and v in this 30-60-90 triangle?

a)

u = 8 v = 4√3

b)

u = 4√2 v = 8

c)

u = 16 v = 8

d)

u = 4√3 v = 8

148.

What are x and y in this 30-60-90 triangle?

a)

x = 6 y = 3√3

b)

x = 1.5√3 y =1.5

c)

x = 3√3 y = 6

d)

x = √3 y = 2√3

149.

Find the value of x and y.

a)

x = 8√3, y = 16

b)

x = 4, y = 8√3

c)

x = 16, y = 8√3

150.

Find the value of m and n.

a)

m = 24√3, n = 24

b)

m = 6√3, n = 6

c)

m = 24/√3, n = 24

151.

Which side is the long leg in this 30-60-90 triangle? (not the hypotenuse)

a)

4

b)

u

c)

v

152.

Which side is the short leg of this 30-60-90 triangle?

a)

6

b)

m

c)

n

153.

Find x.

a)

4√3

b)

4√6

c)

4

d)

4√8

154.

Find x.

a)

22

b)

$11\sqrt{3}$

c)

$11\sqrt{2}$

d)

11

155.

Find a.

a)

12

b)

24

c)

$24\sqrt{3}$

d)

16

156.

Find a.

a)

9

b)

$9\sqrt{3}$

c)

$\frac{9}{2}$

d)

$6\sqrt{3}$

157.

Find x.

a)

9

b)

$3\sqrt{3}$

c)

6

d)

$6\sqrt{3}$

158.

Find y.

a)

6

b)

24

c)

$12\sqrt{3}$

d)

$6\sqrt{3}$

159.

Is this a 30-60-90 triangle?

a)

Yes

b)

No

c)

No clue

160.

Is this a 30-60-90 triangle?

a)

Yes

b)

No

c)

No clue

161.

If you are given the SHORT LEG of a 30-60-90 triangle, how do you find the HYPOTENUSE?

a)

Multiply by 2

b)

Divide by 2

c)

Multiply by √3

d)

Divide by √3

162.

If you are given the SHORT LEG of a 30-60-90 triangle, how do you find the LONG LEG?

a)

Multiply by 2

b)

Divide by 2

c)

Multiply by √3

d)

Divide by √3

163.

Find y.

a)

10

b)

3

c)

6

d)

5

164.

Find y. (Careful - these last few problems are review from yesterday's lesson!)

a)

11√2

b)

11

c)

22

d)

(11√2)/2

165.

Find the value of x.

a)

3√2

b)

3

c)

6√2

d)

6

Y8 Final revision

Total questions: 165

Worksheet time: 7hrs 58mins

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