Free Printable Final Review

1.

Name the set or sets of numbers to which the following real number belongs: $\frac{2}{5}$

a)

Rational Number

b)

Integer

c)

Whole Number

d)

Natural Number

2.

Name the set or sets of numbers to which the following real number belongs: -15

a)

Rational Number

b)

Integer

c)

Whole Number

d)

Natural Number

3.

Name the set or sets of numbers to which the following real number belongs: 3

a)

Rational Number

b)

Integer

c)

Whole Number

d)

Natural Number

4.

Name the set or sets of numbers to which the following real number belongs: - $\frac{5}{9}$

a)

Rational Number

b)

Integer

c)

Whole Number

d)

Natural Number

5.

Name the set or sets of numbers to which the following real number belongs: 1,700

a)

Rational Number

b)

Integer

c)

Whole Number

d)

Natural Number

6.

Solve: -8 + 13

a)

-5

b)

5

c)

-21

d)

21

7.

Solve: -19 - 10

a)

-29

b)

29

c)

-9

d)

9

8.

Solve: -12(12)

a)

-144

b)

144

c)

-24

d)

24

9.

Solve: -54 $\div$ 9

a)

-45

b)

45

c)

-6

d)

6

10.

Solve: -70 + (-15)

a)

-55

b)

55

c)

85

d)

-85

11.

a)

7/8

b)

10/8

c)

10/64

d)

5/8

12.

a)

9/4

b)

6/4

c)

6/8

d)

6/16

13.

a)

3/10

b)

2/5

c)

3/5

d)

3/25

14.

a)

1/12

b)

1

c)

2/35

d)

23/25

15.

a)

1/6

b)

1

c)

1/0

d)

1/12

16.

a)

11/14

b)

12/21

c)

21/40

d)

28/30

17.

a)

3/40

b)

4/40

c)

3/5

d)

5/24

18.

a)

3/14

b)

2/5

c)

2/45

d)

3/45

19.

a)

1 / 2

b)

3 / 4

c)

12 / 16

d)

6 / 32

20.

a)

6/40

b)

6/10

c)

3/5

d)

12/20

21.

a)

24/11

b)

8/33

c)

12/11

d)

2/8

22.

A number decreased by 9

a)

9 - x

b)

x + 9

c)

x/9

d)

x - 9

23.

Ten more than three times a number

a)

3 x 10 x m

b)

3m + 10

c)

10 + 3 + m

d)

10m + 3

24.

The quotient of sixteen and a number

a)

n ÷ 6

b)

6 ÷ n

c)

n ÷ 16

d)

16 ÷ n

25.

The sum of 14 and x

a)

x - 14

b)

14(x)

c)

14 + x

d)

14/x

26.

81 - 6 + 24

a)

100

b)

50

c)

99

d)

51

27.

100 - 25 x 4 + 17

a)

317

b)

117

c)

0

d)

17

28.

12 ÷ 2 x 6

a)

36

b)

5

c)

30

d)

1

29.

(31 - 11) ÷ 5 + 2

a)

-4

b)

8

c)

2.86

d)

6

30.

(19 - 7) ÷ 4 + 11

a)

14

b)

0.8

c)

15

d)

13

31.

Use the Distributive Property to simplify:

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

32.

Use the Distributive Property to solve:

8(5 + w)

a)

40 + w

b)

40+8w

c)

85 + 8w

d)

13+8w

33.

Use the Distributive Property to solve:

11(9 + d)

a)

99 + d

b)

20 + 9d

c)

20 + d

d)

99+11d

34.

(3⁴)(3⁷)

a)

3²⁸

b)

3³

c)

3^-3

d)

3¹¹

35.

(x⁸)(x^-5)

a)

x^-40

b)

x^-13

c)

x¹³

d)

x³

36.

Simplify.
5⁰

a)

5

b)

1

c)

0

d)

5⁰

37.

a)

k⁷

b)

k³

c)

1/k¹⁰

d)

k¹⁰

38.

a)

b⁶

b)

b⁷

c)

b¹

d)

b^-6

39.

a)

d²

b)

d⁸⁰

c)

d⁸¹⁰

d)

d¹⁸

40.

Evaluate the expression using the quotient rule.

a)

x¹³

b)

x⁵

c)

x³⁶

d)

x^-5

41.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

42.

Simplify

(2m⁴)(5m²)

a)

10m⁶

b)

10m⁸

c)

7m⁶

d)

7m⁸

43.

a)

7/ u³

b)

7u¹¹

c)

7u^1.75

d)

7u³

44.

(-2x³)(-5x⁷)

a)

-10x²¹

b)

-10x¹⁰

c)

10x²¹

d)

10x¹⁰

45.

4^-8

a)

1⁸/4

b)

4⁸/1

c)

4/1⁸

d)

1/4⁸

46.

According to exponent rules, when we multiply the expressions we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

47.

According to exponent rules, when we divide the expressions we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

48.

Write with rational exponents:√(7x)

a)

(7x)^½

b)

7x^½

c)

7x²

d)

(7x)²

49.

Write as a radical expression
y²⁄ ³

a)

2y³

b)

√y³

c)

∛y²

d)

3y²

50.

According to exponent rules, when we raise the power to a power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

51.

What does the "b" stand for in y = mx + b?

a)

slope

b)

x-intercept

c)

y-intercept

52.

Given the equation y = 2x + 3, what is the slope?

a)

2

b)

x

c)

3

53.

What letter represents the slope of a line in the equation y = mx + b?

a)

y

b)

m

c)

x

d)

b

54.

What is the y-intercept in the equation?

y = 5x - 4

a)

5

b)

-4

c)

-5

d)

4

55.

x + 12 = 20

a)

x = 32

b)

x = -32

c)

x = 8

d)

x = -8

56.

Solve the equation
3x = 27.

a)

x = 24

b)

x = 81

c)

x = 9

d)

x = 3

57.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

58.

144 = 12z

a)

z = 20

b)

z = 11

c)

z = 12

59.

Solve for x and y
y = 2x + 1
y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

60.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

61.

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

62.

a)

One Solution

b)

No Solution

c)

Infinitely Many Solutions

63.

Solve using substitution

y = 8x+1

y = 6x+3

a)

(1, 9)

b)

(4, 14)

c)

(0, 1)

d)

(2, 4)

64.

Solve the system by elimination.

4x+8y=20

-4x+2y=-30

a)

(-7,1)

b)

(2,-5)

c)

(-2,5)

d)

(7,-1)

65.

Solve the system by elimination.

3x + 2y = –13

3x + 4y = 1

a)

(-9,7)

b)

(7,-9)

c)

(4,-7)

d)

(-7,-4)

66.

Solve the system by elimination.

3x + y = –14

–2x – y = 9

a)

(-5,1)

b)

(5,-1)

c)

(1,4)

d)

(-1,4)

67.

Solve the system by elimination.

x + 4y = –3

x + 7y = –12

a)

(-3,9)

b)

(9,-3)

c)

(3,9)

d)

(9,3)

68.

Simplify the algebraic fraction.

a)

-3/b

b)

-b/3

c)

3b

d)

-3b

69.

Simplify the algebraic fraction.

a)

2pq

b)

2/pq

c)

pq/2

d)

p/2q

70.

a)

4/x

b)

x/4

c)

1/4x

d)

4x

71.

a)

4/p

b)

5/p

c)

14/p²

d)

4/p²

72.

a)

a²/6

b)

2a/3a

c)

3a/2a

d)

3/2

73.

Simplify the algebraic fraction.

a)

16/p²q

b)

16p²q

c)

p²q/16

d)

16q/p²

74.

a)

2

b)

9

c)

18

d)

27

75.

a)

x = 56

b)

x = -56

c)

x = 8/7

d)

x = -8/7

76.

Figures that have the same _____ and size are congruent figures.

a)

corresponding

b)

corners

c)

angles

d)

shape

77.

∠E ≅ ∠ __

a)

A

b)

B

c)

C

d)

D

78.

If Δ ABC ≅ Δ DEF , which angle is congruent to angle B?

a)

∠E

b)

∠D

c)

∠C

79.

If Δ ABC ≅ Δ DEF , which angle is congruent to angle D?

a)

∠C

b)

∠A

c)

∠E

80.

Are these triangles congruent?

a)

Yes

b)

No

81.

Is the picture being reflected in the y-axis or x-axis?

a)

Y-axis

b)

X-axis

82.

What is a reflection?

a)

When you turn an object around a point.

b)

When you slide an object form one place to another.

c)

When you flip or mirror an object across a line.

d)

When you resize an object.

83.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation

b)

Reflection across the y-axis

c)

Reflection across the x-axis

d)

90^o counter clockwise Rotation

84.

Identify the transformation.

a)

Reflection across y-axis

b)

90 Rotation counter clockwise

c)

Translation 5 units left, 1 unit up.

d)

Translation 5 units right, 1 unit down

85.

After being transformed the new point is called a(n):

a)

Object

b)

Post Image

c)

Transformed

d)

Image

86.

The image shows what type of transformation

a)

Rotation

b)

Translation

c)

Reflection

87.

What transformation is happening?
(x, y) ----> (x + 2, y - 3)

a)

slide up 2, left 3

b)

slide right 2, up 3

c)

slide right 2, down 3

d)

slide left 3, right 2

88.

Identify the transformation from ABC to A'B'C'.

a)

(x+8, y+4)

b)

(x-8, y-4)

c)

(x+4, y+8)

d)

(x-4, y-8)

89.

A type of transformation where a geometric figure slides horizontally, vertically, or both.

a)

dilation

b)

translation

c)

rotation

d)

reflection

90.

Congruent geometric figures have the:

a)

Same size

b)

Sides Equal

c)

Same Size and Same Shape

d)

Angles Equal

91.

True or False : When you transform a figure, it is congruent to the original figure.

a)

True

b)

False

92.

Identify the transformation from A to D.

a)

90^o Clockwise Rotation

b)

180^o Rotation

c)

270^o clockwise Rotation

d)

360^o Rotation

93.

One of the triangles is a rotation of the other.

a)

True

b)

False

94.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

90 degrees clockwise

95.

Rotated figures are congruent

a)

True

b)

False

96.

What type of slope does the graph have?

a)

Positive

b)

Negative

c)

Zero Slope

d)

Undefined

97.

What type of slope does the graph have?

a)

Zero Slope

b)

Undefined

c)

Negative

d)

Positive

98.

What type of slope does the following graph have?

a)

Postive

b)

Negative

c)

Zero Slope

d)

Undefined

99.

What type of slope does the following graph have?

a)

Positive

b)

Negative

c)

Zero Slope

d)

Undefined

100.

Which line has a
positive slope?

a)

Blue

b)

Red

c)

Purple

d)

Green

101.

How is Quadrilateral EFGH translated to E'F'G'H'?

a)

6 down

b)

6 down, 1 right

c)

6 down, 3 left

d)

8 down, 1 right

102.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

103.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

104.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

105.

The hypotenuse of a right triangle is ALWAYS the longest side.

a)

true

b)

false

106.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

107.

Find the length of the missing side.

a)

13

b)

20

c)

9.7

d)

10

108.

What is the formula for Pythagorean theorem?

a)

a²+ b²= c²

b)

a²- b²= c²

c)

a + b = c

d)

c - a = b

109.

Is this triangle a right triangle?

a)

yes

b)

no

110.

Which side is the hypotenuse?

a)

a

b)

b

c)

c

111.

What two measurements are necessary for calculating speed?

a)

Mass and time

b)

Temperature and mass

c)

Mass and distance

d)

Distance and time

112.

Match the description to the graph:

"The car is stopped."

a)

b)

c)

d)

113.

In which of the following graphs below are both runners moving at the same speed?

a)

b)

c)

d)

114.

A measurement of how fast an object is moving

a)

Velocity

b)

Speed

c)

Vector

d)

Acceleration

115.

At what time did runner A pass runner B?

a)

0 seconds

b)

1 second

c)

2 seconds

d)

3 seconds

116.

How long did it take this object to travel 10 m?

a)

0 s

b)

10 s

c)

15 s

d)

20 s

117.

According to the graph how far does the person travel in the first 5 seconds?

a)

2 m

b)

10 m

c)

0 m

d)

5 m

118.

How long did Charlie stop for a rest?

a)

2.5 seconds

b)

2 seconds

c)

3 seconds

d)

5 seconds

119.

How long did Bob take to complete the race?

a)

17 seconds

b)

12 seconds

c)

14 seconds

d)

15 seconds

120.

Calculate Albert's average speed for the 100-meter race.

a)

8.33 m/s

b)

5 m/s

c)

7.14 m/s

d)

5.88 m/s

Final Review

Total questions: 120

Worksheet time: 30hrs 0mins

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