Free Printable 1st Nine Weeks Review

1.

5³⋅5⁴

a)

5⁷

b)

5⁻¹

c)

5¹²

d)

5

2.

(c⁵)(c³)(c³)

a)

c⁴⁵

b)

3c¹¹

c)

c¹¹

d)

3c⁴⁵

3.

(x⁴)²

a)

x⁸

b)

x⁶

c)

x²

d)

8

4.

Evaluate the expression using the quotient rule.

a)

x¹³

b)

x⁵

c)

x³⁶

d)

x^-5

5.

Simplify the expression:
(5⁸) ÷ (5²)

a)

5⁶

b)

5¹⁰

c)

5⁴

d)

5¹⁶

6.

Simplify the expression in exponential form:
134⁰

a)

0

b)

134

c)

1

7.

Simplify the expression:
(a⁵)(a⁴)

a)

a²⁰

b)

a⁹

c)

a¹

8.

Simplify (2x⁴y⁷)³

a)

6x⁷y¹⁰

b)

6xy³²

c)

8x¹²y²¹

d)

8x⁷y¹⁰

9.

simplify 7^-2

a)

1/7²= 1/49

b)

-49

c)

-14

d)

1/14

10.

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

a)

add

b)

subtract

c)

multiply

d)

divide

11.

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

a)

add

b)

subtract

c)

multiply

d)

divide

12.

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

a)

add

b)

subtract

c)

multiply

d)

divide

13.

How would you write 4.3756 x 10⁴in standard form?

a)

437,560,000

b)

0.00043756

c)

43,756

d)

4,3756

14.

How would you write 0.0005 in scientific notation?

a)

50 x 10^-5

b)

5 x 10^-4

c)

5 x 10³

d)

.5 x 10³

15.

Add withing scientific notation
(5.2 x 10⁷) + (3.01 x 10⁴)

a)

5.20301 x 10¹¹

b)

.520301 x 10⁷

c)

5.20301 x 10⁷

d)

5.20301 x 10⁸

16.

Subtract withing scientific notation
(7.32 x 10⁶) - (4.01 x 10⁸)

a)

-3.937 x 10⁸

b)

3.937 x 10⁸

c)

3.937 x 10⁷

d)

3.937 x ⁻²

17.

Subtract the within the scientific notation.
(2 x 10³) - (1.9 x 10²)

a)

1.81 x 10⁵

b)

1.81 x 10³

c)

1.81 x 10⁶

d)

1.81 x 10⁴

18.

What is the simplified version of

a)

3.9 x 10⁶

b)

4 x 10²⁰

c)

4 x 10⁶

d)

3.9 x 10²⁰

19.

Multiply:
(9.4 x 10⁶)(3.2 x 10⁵)

a)

30.08 x 10¹¹

b)

3.8 x 10¹

c)

3.008 x 10¹²

d)

2.9375 x 10¹

20.

Which equation will help you find the missing side?

a)

$4^2+10^2=c^2$

b)

$10^2-4^2=c^2$

c)

$c^2=100+10^2$

d)

$c^2+4^2=10^2$

21.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

22.

What side(s) will always be the longest on a right triangle?

a)

The Hypotenuse

b)

Leg A

c)

Leg B

d)

The Right Angle

23.

Find the missing side.

a)

18

b)

16

c)

17

d)

19

24.

Determine the length of the missing side.

a)

7

b)

8

c)

17

d)

23

25.

Find the value of x.

a)

7

b)

8

c)

9

d)

10

26.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

a)

17 miles

b)

32 miles

c)

37 miles

d)

40 miles

27.

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

a)

210 m

b)

180 m

c)

150 m

d)

79 m

28.

Find the distance between J and K.

a)

8.2

b)

7.7

c)

9

d)

10.2

29.

Find the missing side of this right triangle

a)

14.7

b)

16

c)

22.5

d)

13

30.

Find the distance.

a)

9.7

b)

10.7

c)

11.7

d)

12.7

31.

Find the length of the diagonal

a)

32.1

b)

31.2

c)

976

d)

7.2

32.

Find the length of line segment AD to one decimal place (tenths).

(a)

33.

What is the approximate length of the blue line?

a)

6.56

b)

23

c)

45

d)

3.32

34.

√ 64

a)

4

b)

6

c)

9

d)

8

35.

√ 81

a)

8

b)

7

c)

10

d)

9

36.

$-\sqrt{144}$

a)

12

b)

-12

c)

-72

d)

none of the above (imaginary number)

37.

Identify the equation that has an IRRATIONAL solution.

a)

y² = 25

b)

y² = 100

c)

y² = 20

d)

y² = 81

38.

Select ALL the equations that have rational solutions.

a)

x³ = 8

b)

x³ = 27

c)

x³ = 16

d)

x³ = 64

39.

$\sqrt[3]{8}$

a)

2

b)

$-2$

c)

perfect square

d)

irrational

40.

The area of a square painting is $81\ cm^2$ . What is the length of one side?

a)

9 cm

b)

-9 cm

c)

40.5 cm

d)

-40.5 cm

41.

A cube with side length s has a volume of 64 cm³. What is the length of one side?

a)

4 cm

b)

8 cm

c)

16 cm

d)

32 cm

42.

Which of the following is irrational?

a)

$\sqrt{49}$

b)

$\sqrt{50}$

c)

$\sqrt{81}$

d)

$\sqrt{121}$

43.

13²

a)

26

b)

196

c)

144

d)

169

44.

The number 1,000 is a...

a)

perfect square

b)

perfect cube

c)

irrational number

45.

Select all perfect cubes

a)

2

b)

8

c)

27

d)

64

e)

9

46.

Select all perfect squares.

a)

2

b)

8

c)

27

d)

64

e)

9

47.

Solve for x.

x² = 64

a)

$x=\pm8$

b)

$\times=\pm32$

c)

$\times\equiv8$

d)

$\times=-8$

48.

√2

a)

Rational

b)

Irrational

49.

√7

a)

Rational

b)

Irrational

50.

√25

a)

Rational

b)

Irrational

51.

4π

a)

rational

b)

irrational

52.

a)

7 and 8

b)

8 and 9

c)

17 and 18

d)

35 and 36

53.

a)

M

b)

N

c)

O

d)

P

54.

a)

F

b)

G

c)

H

d)

J

55.

Which number is between 7 and 8?

a)

√7

b)

√42

c)

√59

d)

√68

56.

Which of these is an example of a terminating decimal?

a)

1⁄2

b)

1⁄3

c)

2⁄3

d)

1⁄7

57.

Select the irrational numbers

a)

$\sqrt{50}$

b)

2

c)

$\pi$

d)

2.3454128904

58.

Is the following number rational or irrational?

0.141414141414...

a)

Rational

b)

Irrational

59.

A perfect square is which type of number?

a)

Rational

b)

Irrational

60.

A non-perfect square is which type of number?

a)

Rational

b)

Irrational

61.

√256

a)

14

b)

16

c)

13

d)

17

62.

Which number has a square root that is between 9 and 10?

a)

80

b)

75

c)

90

d)

110

63.

Which irrational number falls between -6 and -7 on a number line?

a)

$-\ \sqrt[]{40}$

b)

$-\ \sqrt[]{35}$

c)

$\ \sqrt[]{45}$

d)

$-\ \sqrt[]{50}$

64.

Which irrational number falls between 14 and 15 on a number line?

a)

$\sqrt[]{140}$

b)

$\sqrt[]{150}$

c)

$\ \sqrt[]{190}$

d)

$\sqrt[]{220}$

65.

A square has an area of 70 square feet.

Between what two consecutive integers would the length of each side fall?

a)

6 and 7

b)

7 and 8

c)

8 and 9

d)

9 and 10

66.

Between what two consecutive integers is $\sqrt[]{50}$ ?

a)

5 and 6

b)

6 and 7

c)

7 and 8

d)

8 and 9

67.

Find the volume of the Cylinder

a)

7230

b)

6621

c)

1130

d)

907

68.

Find the Volume if the height is 10 cm and radius 3 cm?

a)

250

b)

200

c)

283

d)

180

69.

Michael has a very large soup pot shaped like a cylinder that has a height of 15 inches and a radius of 6 inches. How much soup can Michael’s soup pot hold?

a)

4239 in³

b)

423.9 in³

c)

1695.6 in³

d)

1695.6 in²

70.

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

71.

Soda is sold in aluminum cans that measure 6 inches in height and 2 inches in diameter. How many cubic inches of soda are contained in a full can?

a)

12.0

b)

24.0

c)

75.4

d)

18.8

72.

Find the volume of the cone. (Round to the nearest integer.)

a)

1810 in³

b)

151 in³

c)

452 in³

d)

276 in

73.

a)

400

b)

1200

c)

3600

d)

324

74.

An ice cream cone that is 4 inches tall has a radius that is 4 inches across. Find the volume of the cone.

a)

201.06 inches³

b)

67.02 inches³

c)

268.08 inches³

d)

50.27 inches³

75.

Find the volume to the nearest hundredth using 3.14 instead of Pi.

a)

5572.45 cm³

b)

506.59 cm³

c)

126.65 cm³

d)

1393.11 cm³

76.

Find the volume of the Sphere

a)

78.5 m³

b)

392.5 m³

c)

523.6 m³

d)

62.8 cm³

77.

Barney wanted to know how much ice cream he got in one round scoop. The radius of a scoop is 2 inches. Find the volume. Use 3.14 for pi.

a)

345.3 in³

b)

33.5 in³

c)

25.1 in³

d)

50.2 in³

78.

What is the value of x if 17 – 3(x + 9) = 50?

a)

-20

b)

-8

c)

8

d)

20

79.

Solve for x.
6(3x + 1) - 30 = 3(2x - 4)

a)

-1

b)

1

c)

0

d)

5

80.

For which of the following equations is the answer "all reals"?

a)

5x + 5 = 3(5x - 4) - 10x

b)

9x - 4 = 2x + 3

c)

3(3x - 2) = 2(3x + 3)

d)

3(2x - 1) -7 = 6x -10

81.

Which of the sets of ordered pairs does not represent a function?

a)

{(1, 1), (2, 2), (3, 3), (4, 4), (5, 5)}

b)

{(2, 1), (4, 2), (6, 3), (8, 1), (10, 2)}

c)

{(0, 0), (2, 3), (3, 6), (2, 9), (6, 12)}

d)

{(1, 5), (2, 4), (3, 3), (4, 2), (5, 1)}

82.

Sarah is babysitting at $8 per hour to earn money for a car. So far she has saved $1300. The car that Sarah wants to buy costs at least $3500. How many hours does Sarah still need to work to buy the car?

a)

250

b)

2200

c)

275

d)

2000

83.

Does this table represent a function?

a)

yes

b)

no, because an element in the domain is paired with multiple elements in the range

c)

no, because an element in the range is paired with multiple elements in the domain

84.

What is the slope from the table of values given?

a)

-1/2

b)

2

c)

1/2

d)

-2

85.

Which of the following best represents the slope of the line shown?

a)

-3/2

b)

-2/3

c)

2/3

d)

3/2

86.

If you calculated the slope using the given points, which set of ordered pairs would NOT have a slope of -2/5?

a)

(-15, 9) and (0, 3)

b)

(10, 5) and (5, 7)

c)

(19, -2) and (-11,10)

d)

(4, -17) and (-20, -1)

87.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

88.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

89.

Slope is know as rise/

a)

run

b)

fall

c)

none

d)

rise

90.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

91.

Find the slope of the line that passes through:
(2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

92.

What is the slope represented in the table?

a)

slope: $\frac{1}{2}$

b)

slope: $2$

c)

slope: $-\frac{1}{2}$

d)

slope: $-2$

93.

What is the Slope represented in this table?

a)

slope: $-\frac{1}{4}$

b)

slope: $-4$

c)

slope: $\frac{1}{4}$

d)

slope: $4$

94.

a)

A

b)

B

c)

C

d)

D

95.

a)

A

b)

B

c)

C

d)

D

96.

a)

A

b)

B

c)

C

d)

D

97.

a)

A

b)

B

c)

C

d)

D

98.

A type of transformation where a figure is “flipped” over a line of symmetry. A reflection produces a mirror image of a figure.

a)

rotation

b)

translation

c)

dilation

d)

reflection

99.

A transformation that “turns” a figure about a fixed point at a given angle and a given direction.

a)

rotation

b)

translation

c)

reflection

d)

dilation

100.

Determine how to translate triangle ABC to triangle A'B'C'.

a)

right 2, down 5

b)

right 2, down 9

c)

left 2, up 9

d)

left 2, down 9

101.

Which answer shows a reflection across the y-axis?

a)

a

b)

b

c)

c

d)

d

102.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

270 counterclockwise

103.

If the quadrilateral is translated 4 units to the left and 5 units down what is the coordinates for Point A'?

a)

(4,0)

b)

(0,4)

c)

(-1,5)

d)

(5,-1)

104.

Determine where X' would be if you translated X 3 units to the left and 9 units down.

a)

(-4, 4)

b)

(-10, 2)

c)

(-4, -5)

d)

(-1, 5)

105.

Point (-5,2) is reflected over the y axis. Where is the new point located?

a)

(5,2)

b)

(-5,-2)

c)

(-5,2)

d)

(5,-2)

106.

The result of a transformation.

a)

Pre-image

b)

Image

107.

The original figure prior to a transformation.

a)

Pre-image

b)

Image

108.

A slide is also called a _________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

109.

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

110.

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

a)

y-axis

b)

x-axis

111.

Describe the transformation in the image.

a)

Translation

b)

Reflection

c)

Rotation

112.

Describe the transformation.

a)

translation: right 4 and up 6

b)

reflection across x=-2

c)

translation right 6 and down 1

d)

reflection across y=-2

113.

Describe the transformation.

a)

translation: right 3 and down 2

b)

felfection across y=-x

c)

rotation 180 degrees about the origin

d)

rotation 90 degrees clockwise about the origin

114.

Identify the correct picture which represents a 90^o clockwise rotation about the origin.

a)

b)

c)

d)

115.

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)

a)

A'(9,9) B'(18,18) C'(27,9)

b)

A'(6,6) B'(9,9) C'(12,6)

c)

A'(0,0) B'(3,3) C'(6,0)

d)

A'(1,1) B'(2,2) C'(3,1)

116.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

117.

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

a)

½

b)

¼

c)

4

d)

2

118.

Dilate Point B by a scale factor of 1/2

a)

(1.5,-4)

b)

(-1.5,1)

c)

(-1,-1.5)

d)

(-2,-2)

119.

A dilation is which of the following:

a)

only an enlargement

b)

only a reduction

c)

Either an enlargement or a reduction

d)

Neither an enlargement or a reduction

120.

A dilation produces a congruent figure

a)

True

b)

False

121.

How do you write the algebraic notation when the scale factor is 3?

a)

(x, y) goes to (1/3x, 1/3y)

b)

(x, y) goes to (-3x, -3y)

c)

(x, y) goes to (x + 3, y + 3)

d)

(x, y) goes to (3x, 3y)

122.

Did the image enlarge, reduce or none of the above?

a)

Enlarge

b)

Reduce

c)

None of the above

123.

Angle 1 = 27^oFind the measure of angle 4

a)

27^o

b)

153^o

c)

63^o

d)

90^o

124.

Which pair of angles add up to 180 degrees?

a)

A and W

b)

C and X

c)

D and X

d)

A and G

125.

What is the value of x?

a)

27

b)

72

c)

108

d)

153

126.

WHAT IS THE VALUE OF X?

Hint: Set them equal to each other.

a)

16

b)

11.4

c)

0

d)

-16

127.

WHAT IS THE VALUE OF X?

Hint: Set them equal to each other.

a)

-7

b)

9.4

c)

7

d)

-9.4

128.

Find C

a)

∠C=116°

b)

∠C=64°

c)

∠C=180°

d)

∠C=26°

129.

Find D

a)

∠D=116°

b)

∠D=64°

c)

∠D=180°

d)

∠D=26°

130.

If angle 6 is 25 degrees, how many degrees is angle 7?

a)

25 degrees

b)

50 degrees

c)

90 degrees

d)

155 degrees

1st Nine Weeks Review

Total questions: 130

Worksheet time: 26hrs 33mins

Which irrational number falls between -6 and -7 on a number line?

Which irrational number falls between 14 and 15 on a number line?

A square has an area of 70 square feet.

Between what two consecutive integers would the length of each side fall?

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