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Rotate, Ratio/Irratio, Area, Expanded, Pythag, Dilate, Solutions

Total questions: 196

Worksheet time: 10hrs 50mins

Name
Class
Date
1.

The point A(5,3) was rotated 90 degrees counter-clockwise. Which image shows the correct piont

a)
b)
c)
d)
2.

Rotate the point (-5,8) around the origin 270 degrees counter-clockwise. State the image of the point.

a)

(-8,5)

b)

(8,-5)

c)

(8,5)

d)

(5,-8)

3.

Rotate the point (7,8) around the origin 90 degrees counter-clockwise. State the image of the point.

a)

(-7,-8)

b)

(8,-7)

c)

(-8,7)

d)

(8,7)

4.

The point A(5,3) was rotated 270 degrees counter-clockwise. Which image shows the correct piont

a)
b)
c)
d)
5.

If (-4,2) were rotated 180 degrees counter-clockwise around the origin, which quadrant would it end up in?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

6.

If (-3,-7) were rotated 180 degrees counter-clockwise around the origin, which quadrant would it end up in?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

7.

If (5,-8) were rotated 270 degrees counter-clockwise around the origin, which quadrant would it end up in?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

8.

If (6,8) were rotated 270 degrees counter-clockwise around the origin, which quadrant would it end up in?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

9.

If (6,2) were rotated 90 degrees counter-clockwise around the origin, which quadrant would it end up in?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

10.

If (4,-2) were rotated 180 degrees counter-clockwise around the origin, which quadrant would it end up in?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

11.

The point A(5,3) was rotated 90 degrees counter-clockwise. Which image shows the correct piont

a)
b)
c)
d)
12.

The point A(5,3) was rotated 270 degrees counter-clockwise. Which image shows the correct piont

a)
b)
c)
d)
13.

Rotate the point (-5,8) around the origin 270 degrees counter-clockwise. State the image of the point.

a)

(-8,5)

b)

(8,-5)

c)

(8,5)

d)

(5,-8)

14.

Rotate the point (-2,9) around the origin 270 degrees counter-clockwise. State the image of the point.

a)

(-2,9)

b)

(2,-9)

c)

(9,2)

d)

(9,-2)

15.

Rotate the point (-5,8) around the origin 270 degrees counter-clockwise. State the image of the point.

a)

(-8,5)

b)

(8,-5)

c)

(8,5)

d)

(5,-8)

16.

Rotate the point (7,8) around the origin 90 degrees counter-clockwise. State the image of the point.

a)

(-7,-8)

b)

(8,-7)

c)

(-8,7)

d)

(8,7)

17.

If (2,1) were rotated 270 degrees counter-clockwise around the origin, which quadrant would it end up in?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

18.

If (6,-8) were rotated 90 degrees counter-clockwise around the origin, which quadrant would it end up in?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

19.

If (3,-7) were rotated 180 degrees counter-clockwise around the origin, which quadrant would it end up in?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

20.

If (-4,-4) were rotated 180 degrees counter-clockwise around the origin, which quadrant would it end up in?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

21.

If (-6,-9) were rotated 180 degrees counter-clockwise around the origin, which quadrant would it end up in?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

22.
45
a)
Rational 
b)
Irrational
23.
12.2
a)
Rational 
b)
Irrational
24.
1/2
a)
Rational
b)
Irrational
25.
3.4567...
a)
Rational
b)
Irrational
26.
3.25
a)
Rational
b)
Irrational
27.
π
a)
Rational
b)
Irrational
28.
0.4444...
a)
Rational
b)
Irrational
29.
−9
a)
Rational
b)
Irrational
30.
−1.5
a)
Rational
b)
Irrational
31.
100
a)
Rational
b)
Irrational
32.
1/3
a)
Rational
b)
Irrational
33.
-24/5
a)
Rational
b)
Irrational
34.
7.8902...
a)
Rational
b)
Irrational
35.
−20
a)
Rational
b)
Irrational
36.
−π
a)
Rational
b)
Irrational
37.
a)
Rational Number
b)
Irrational Number
c)
Undefined
38.
a)
Rational Number
b)
Irrational Number
c)
Undefined
39.
a)
Rational Number
b)
Irrational Number
c)
Undefined
40.
a)
Rational Number
b)
Irrational Number
c)
Undefined
41.
a)
Rational Number
b)
Irrational Number
c)
Undefined
42.
a)
Rational Number
b)
Irrational Number
c)
Undefined
43.
a)
Rational Number
b)
Irrational Number
c)
Undefined
44.
a)
Rational Number
b)
Irrational Number
c)
Undefined
45.
a)
Rational Number
b)
Irrational Number
c)
Undefined
46.
a)
Rational Number
b)
Irrational Number
c)
Undefined
47.
a)
Rational Number
b)
Irrational Number
c)
Undefined
48.
a)
Rational Number
b)
Irrational Number
c)
Undefined
49.
a)
Rational Number
b)
Irrational Number
c)
Undefined
50.
a)
Rational Number
b)
Irrational Number
c)
Undefined
51.
a)
Rational Number
b)
Irrational Number
c)
Undefined
52.
a)
Rational Number
b)
Irrational Number
c)
Undefined
53.
a)
Rational Number
b)
Irrational Number
c)
Undefined
54.
a)
Rational Number
b)
Irrational Number
c)
Undefined
55.
a)
Rational Number
b)
Irrational Number
c)
Undefined
56.
a)
Rational Number
b)
Irrational Number
c)
Undefined
57.
a)
Rational Number
b)
Irrational Number
c)
Undefined
58.
a)
Rational Number
b)
Irrational Number
c)
Undefined
59.
a)
Rational Number
b)
Irrational Number
c)
Undefined
60.
a)
Rational Number
b)
Irrational Number
c)
Undefined
61.

Which is equivalent to 1x 7 x 7 x 7 x 7 x 7 x 7

?

a)

75

b)

76

c)

67

d)

77

62.

Find the equivalent expression.


1 x 9 x 9 x 9 x 9 x 9

a)

95

b)

915

c)

9 x 5

d)

9 + 9 + 9 + 9+ 9

63.

What is the power to this problem?

1 x 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

64.
25 is the same as 2 x 5.
a)
True
b)
False
65.
Which is equivalent to 34
a)
27
b)
9
c)
81
d)
12
66.
Choose the answer.
52
a)
10
b)
15
c)
20
d)
25
67.
Choose the answer.
52
a)
10
b)
15
c)
20
d)
25
68.

How would you represent 8⁶ ?

a)

8 x 6

b)

1 x 8 x 8 x 6

c)

1 x 8 x 8 x 8 x 8 x 8 x 8

d)

1 x 6 x 6 x 6 x 6 x 6 x 6 x 6 x 6

69.

The exponent equivalent of 1 x 20 x 20 x 20 is

a)

20 x 3

b)

203

c)

320

70.
Which number is the VALUE?
24 
a)
2
b)
4
c)
16
71.

Which is equivalent to 1 x 5 x 5 x 5 x 5

a)

53

b)

54

c)

45

d)

55

72.

Write 56 in expanded form

a)

1 x 5 x 5 x 5 x 5 x 5 x 5

b)

1 x 6 x 6 x 6 x 6 x 6

c)

30

d)

15625

73.

Write 84 in expanded form

a)

1 x 8 x 8 x 8 x 8

b)

1 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4

c)

32

d)

4096

74.

Write 102 in expanded form

a)

1 x 10 x 10

b)

1 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

c)

20

d)

100

75.

Write 63 in expanded form

a)

1 x 6 x 6 x 6

b)

1 x 3 x 3 x 3 x 3 x 3 x 3

c)

18

d)

216

76.

Write 41 in expanded form

a)

1 x 4

b)

4

c)

1

d)

This is not possible

77.

Write 81 in expanded form

a)

1 x 8

b)

8

c)

1

d)

This is not possible.

78.

Write 101 in expanded form

a)

1 x 10

b)

10

c)

1

d)

This is not possible.

79.

Write 71 in expanded form

a)

1 x 7

b)

7

c)

1

d)

This is not possible.

80.

Write 31 in expanded form

a)

1 x 3

b)

3

c)

1

d)

This is not possible.

81.

Write 51 in expanded form

a)

1 x 5

b)

5

c)

1

d)

This is not possible.

82.

Write 61 in expanded form

a)

1 x 6

b)

6

c)

1

d)

This is not possible.

83.

Write 30 in expanded form

a)

1

b)

3

c)

0

d)

This is not possible.

84.

Write 40 in expanded form

a)

1

b)

4

c)

0

d)

This is not possible.

85.

Write 50 in expanded form

a)

1

b)

5

c)

0

d)

This is not possible.

86.

Write 60 in expanded form

a)

1

b)

6

c)

0

d)

This is not possible.

87.

Write 70 in expanded form

a)

1

b)

7

c)

0

d)

This is not possible.

88.

Write 80 in expanded form

a)

1

b)

8

c)

0

d)

This is not possible.

89.

Write 90 in expanded form

a)

1

b)

9

c)

0

d)

This is not possible.

90.

Write 100 in expanded form

a)

1

b)

10

c)

0

d)

This is not possible.

91.

Write 110 in expanded form

a)

1

b)

11

c)

0

d)

This is not possible.

92.

Write 120 in expanded form

a)

1

b)

0

c)

12

d)

This is not possible.

93.

Write 130 into expanded form

a)

1

b)

13

c)

0

d)

This is not possible.

94.

Write 140 into expanded form

a)

14

b)

0

c)

1

d)

This is not possible.

95.
What is the area of the triangle?
a)
18 cm2
b)
36 cm2
c)
72 cm2
d)
25 cm2
96.

What is the area of the triangle?

a)

15 ft2

b)

30 ft2

c)

45 ft2

d)

60 ft2

97.
What is the area of the triangle?
a)
9 in2
b)
18 in2
c)
6 in2
d)
36 in2
98.
What is the area of the rectangle?
a)
70 cm2
b)
35 cm2
c)
23.33 cm2
d)
140 cm2
99.
What is the area of the rectangle?
a)
36 in2
b)
12 in2
c)
18 in2
d)
72 in2
100.
What is the area of the rectangle?
a)
90 ft2
b)
45 ft2
c)
30 ft2
d)
180 ft2
101.
What is the radius of this circle?
a)
18
b)
10
c)
9
d)
8
102.
What is the diameter of this circle?
a)
3.5
b)
3
c)
5
d)
7
103.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
104.
Find the area of the circle
a)
56.52
b)
254.34
c)
1017.36
d)
113.04
105.
what is the area of a circle with the diameter of 10cm ?
a)
66cm
b)
78.5cm
c)
66.5cm
d)
10m
106.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
107.
Find the area of the circle
a)
56.52
b)
254.34
c)
1017.36
d)
113.04
108.

Find the length of the missing side.

a)

48.83457 in.

b)

51.92301 in.

c)

16 in.

d)

24 in.

109.

Find the length of the missing side.

a)

2704 cm

b)

42.23953 cm

c)

52 cm

d)

48 cm

110.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

acute

c)

isosceles

d)

right

111.

Find the missing side

a)

36

b)

76.87293

c)

12.29305

d)

40

112.

solve for c

a)

7

b)

169

c)

60

d)

13

113.
What is the side of a right triangle across from the right angle called?
a)
square
b)
arm
c)
leg
d)
hypotenuse
114.

what is the missing length?

a)

50 yards

b)

60 yards

c)

70 yards

d)

80 yards

115.

solve for the value of y

a)

13

b)

5

c)

25

d)

10

116.

What is the length of the missing side?

a)

400

b)

50

c)

20

d)

64

117.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

118.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

119.

solve for x

a)

5.23952

b)

10

c)

100

d)

89

120.

92 = ?

a)

81

b)

18

c)

99

d)

72

121.
?
a)
2
b)
3
c)
9
d)
81
122.
The legs form what type of angle?
a)
Acute
b)
Obtuse
c)
Reflex
d)
Right
123.

If a triangle has a side leg=5 and leg=12, what is the hypotenuse?

a)

10

b)

17

c)

169

d)

13

124.

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

a)

111.80339 yards

b)

115.39068 yards

c)

127.38306 yards

d)

119.29506 yards

125.

Solve for x.

a)

38.98204

b)

40.24922

c)

45

d)

54

126.

An airplane flies 56 miles due north and then 33 miles due east. How many miles is the plane from its starting point?

a)

65 miles

b)

89 miles

c)

45.40826 miles

d)

We don't have enough information.

127.

What is the value of x in the right triangle shown?

a)

16 cm

b)

18 cm

c)

24 cm

d)

674cm

128.
Which of the following sentences would belong in the proof that describes this image?
a)
The sum of the areas of the two smaller squares is equal to the area of the large square.
b)
The sum of the side lengths of the two smaller squares is equal to the side length of the large square.
c)
The difference of the areas of the two smaller squares is equal to the area of the large square.
d)
The differences of the side lengths of the two smaller squares is equal to the side length of the large square.
129.

Find the missing side

a)

48

b)

108.3596

c)

83.60964

d)

72

130.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
131.

Madison is on the top of an 80 foot building. She is creating a zipline course to the ground with 100 feet of cable. How far from the base of the building will she need to anchor the cable to make the zipline cable tight?

a)

60 feet

b)

20 feet

c)

180 feet

d)

230 feet

132.
In a computer catalog, a computer is listed as being 19 inches.  This distance is the diagonal distance across the screen.  If the screen measures 10 inches in height, what is the actual width of the screen to the nearest inch?
a)
16
b)
21
c)
17
d)
18
133.

Solve for the walkway length

a)

30

b)

40

c)

58

d)

35

134.

What is the distance from the base of the house to the base of the ladder?

a)

25 m

b)

5 m

c)

313 m

d)

17.70563 m

135.
When a dilation has a scale factor greater than one, the dilation is an enlargement.
a)
True
b)
False
136.
When the scale factor of a dilation is less than one, the dilation is a reduction.
a)
True
b)
False
137.

How many solutions does x2=25 have?

a)

One

b)

Two

c)

Infinitely Many

138.

How many solutions does x2=9 have?

a)

One

b)

Two

c)

Infinitely Many

139.

How many solutions does x3=8 have?

a)

One

b)

Two

c)

Infinitely Many

140.

How many solutions does x3=27 have?

a)

One

b)

Two

c)

Infinitely Many

141.

How many solutions does x4=16 have?

a)

One

b)

Two

c)

Infinitely Many

142.

How many solutions does x4=89 have?

a)

One

b)

Two

c)

Infinitely Many

143.

How many solutions does x5=180 have?

a)

One

b)

Two

c)

Infinitely Many

144.

How many solutions does x5=92 have?

a)

One

b)

Two

c)

Infinitely Many

145.

How many solutions does x6=75 have?

a)

One

b)

Two

c)

Infinitely Many

146.

How many solutions does x6=156 have?

a)

One

b)

Two

c)

Infinitely Many

147.

How many solutions does x>9 have?

a)

One

b)

Two

c)

Infinitely Many

148.

How many solutions does x>-9 have?

a)

One

b)

Two

c)

Infinitely Many

149.

How many solutions does x>-150 have?

a)

One

b)

Two

c)

Infinitely Many

150.

How many solutions does x>3,000 have?

a)

One

b)

Two

c)

Infinitely Many

151.

How many solutions does x<-3,000 have?

a)

One

b)

Two

c)

Infinitely Many

152.

How many solutions does x<9 have?

a)

One

b)

Two

c)

Infinitely Many

153.

How many solutions does x<-486 have?

a)

One

b)

Two

c)

Infinitely Many

154.

How many solutions does x<5 have?

a)

One

b)

Two

c)

Infinitely Many

155.

How many solutions does x<-357 have?

a)

One

b)

Two

c)

Infinitely Many

156.
Point D (-2, 1) is dilated by a scale factor of two. What are the new coordinates?
a)
(-4, 1)
b)
(-1, 0.5)
c)
(-4, 2)
d)
(-2, 2)
157.

What are the new coordinates of the point P(-4, 8) after a dilation with a scale factor of 1/2?

a)

(-4, 4)

b)

(-2, 4)

c)

(-2, 8)

d)

(2, 4)

158.
Point A(0, 3) grew to point A'(0, 9), what is the scale factor?
a)
1
b)
2
c)
3
d)
4
159.

What is the new point after dilating the point (-10,-6) by a scale factor of 1/2?

a)

(5,3)

b)

(20,12)

c)

(-20,-12)

d)

(-5,-3)

160.

Dilate the figure by a scale factor of 3. 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)

161.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
162.

Dilate the point (4,9) with a scale factor of 2.

a)

(2,4.5)

b)

(-8,-18)

c)

(8,18)

d)

(9,4)

163.

Dilate the point (3, 6) by a scale factor of 2.

a)

(3, 6)

b)

(1.5, 3)

c)

(6, 12)

d)

(12, 6)

164.

Dilate the point (-2, 12) by a scale factor of 5.

a)

(-4, 24)

b)

(10, -60)

c)

(-10, 60)

d)

(10, 60)

165.

Dilate the point (9, -6) by a scale factor of 1/3.

a)

(3, -2)

b)

(27, -18)

c)

(-2, 3)

d)

(-3, 2)

166.

Dilate the point (4, -6) by a scale factor of 1/2.

a)

(2, -3)

b)

(-2, -3)

c)

(8, -12)

d)

(-8, 12)

167.

Dilate the point (-8, -9) by a scale factor of 3.

a)

(16, 18)

b)

(24, 27)

c)

(-16, -18)

d)

(-24, -27)

168.
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)
169.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
170.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
171.
What would be the scale factor in the dilation shown?
a)
1/1
b)
1/2
c)
4/1
d)
2/1
172.
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)
173.
If the scale factor is less than one, the new figure will be
a)
an enlargement
b)
a reduction
c)
a scale factor
d)
bigger
174.
If the scale factor is greater than one, the new figure will be
a)
a reduction
b)
an enlargement
c)
a scale
d)
not proportional
175.

scale factor = 1/2

a)

Reduction

b)

Enlargement

176.

scale factor = 5

a)

Reduction

b)

Enlargement

177.

scale factor = 2/3

a)

Reduction

b)

Enlargement

178.

scale factor = 4/5

a)

Reduction

b)

Enlargement

179.
What type of correlation is when one value is increasing, then the other value is decreasing?
a)
postive
b)
negative
c)
none
d)
cannot be determined
180.
What type of correlation describes the following sentence:
The number of people that go the pool and the temperature outside.
a)
positive
b)
negative
c)
none
d)
cannot be determined
181.
What type of correlation describes the following sentence:
The temperature outside and the number of hot chocolate sold at a football game.
a)
postive
b)
negative 
c)
none
d)
cannot be determined
182.
What would the correlation be between math grades and the time it takes to run a mile ?
a)
Postive Correlation
b)
Negative Correlation
c)
No Correlation
d)
Cannot Be Determined
183.
What would be the correlation be between study time and test grades?
a)
positive correlation
b)
negative correlation
c)
no correlation
d)
cannot be determined
184.
What would be the correlation be between temperature and ice cream sales?
a)
positive correlation
b)
negative correlation
c)
no correlation
d)
cannot be determined
185.
Name the correlation in this sentence: The number of people in an audience and ticket sales. 
a)
No Correlation
b)
Positive Correlation
c)
Negative Correlation
d)
Lots of Correlation
186.
What type of correlation do you think there is between:
Outside Temperature & Heating Bill
a)
Positive
b)
Negative
c)
NONE
d)
Not enough information
187.
What type of correlation do you think there is between:
Gas Mileage & Vehicle Size/Weight
a)
Positive
b)
Negative
c)
NONE
d)
Not enough information
188.
What type of correlation do you think there is between:
Time Spent Watching TV & Grades
a)
Positive
b)
Negative
c)
NONE
d)
Not enough information
189.
The amount of time a runner spends training and their time in the mile.
a)
positive correlation
b)
negative correlation
c)
no correlation
d)
not enough info
190.
The number of siblings you have and the temperature outside
a)
positive correlation
b)
negative correlation
c)
no correlation 
d)
not enough info
191.
What is the correlation between poverty and crime?
a)
Positive
b)
Negative 
c)
None
d)
Not enough info
192.
The amount of time spent driving and the number of miles driven
a)
positive
b)
negative 
c)
none 
d)
not enough info
193.
Time spent mopping a floor and the size of the area still needing to be mopped
a)
positive
b)
negative
c)
none 
d)
not enough info
194.
Time spent reading and number of pages left in the book
a)
positive
b)
negative
c)
none 
d)
not enough info
195.
number of years of education and job salary
a)
positive
b)
negative
c)
none
d)
not enough info
196.
number of classes taken and amount of free time
a)
positive
b)
negative
c)
none
d)
not enough info

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