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Homework 4.5

Total questions: 150

Worksheet time: 7hrs 43mins

Name
Class
Date
1.
Based on the chart, how many subsets are within the integers set?
a)
1
b)
2
c)
3
d)
none
2.
Explain the error(s).
a)
-1.2 isn't an integer.
b)
-2 isn't a whole number and 3.4 isn't a rational number.
c)
-2 isn't a whole number and -1.2 isn't an integer.
d)
The numbers are graphed correctly.
3.

Classify -5

a)

Integer

b)

Integer and rational

c)

Rational

d)

Whole, integer, and rational

4.
If the area of a square is 81cm2, what is the side length?
a)
9cm
b)
81cm
c)
3cm
d)
9cm2
5.
The √40 is between which two consecutive whole numbers?
a)
7 & 8
b)
4 & 5
c)
5 & 6
d)
6 & 7
6.
Point B could represent which of the following numbers?
a)
√24
b)
√30
c)
√35
d)
√42
7.
Order 3π, √ 10 , and 3.25 from least to greatest.
a)
√ 10, 3π, 3.25
b)
√ 10, 3.25, 3π
c)
3π, 3.25, √ 10
d)
 3.25, √ 10, 3π
8.
Order from least to greatest:
[10, -5, 3, 16, -1, 0, 1]
a)
-1, -5, 0, 1, 3, 10, 16
b)
16, 10, 3, 1, 0, -1, -5
c)
-5, -1, 0, 1, 3, 10, 16
d)
0, -1, 1, 3, -5, 10, 16
9.
The √40 is between which two integers?
a)
7 & 8
b)
6 & 7
c)
5 & 6
d)
4 & 5
10.
List the following numbers from least to greatest:
-64 , 3.5 , √27 , 6.666...
a)
-64 , 3.5 , √27 , 6.666...
b)
3.5 , √27 , 6.666..., -64
c)
3.5, -64, √27, 6.666...
d)
6.666, √27, -64, 3.5
11.
3. Which list of numbers is in order from least to greatest?
A. 5/8,  9/16,  5/12
B. 5/12,  9/16,  5/8
C. 9/16,  5/12,  5/8
D. 9/16,  5/8,  5/12
a)
A
b)
B
c)
C
d)
D
12.

How would you write 4.3756 x 104 in standard form?

a)

437,560,000

b)

0.00043756

c)

43,756

d)

437,560

13.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
14.
The Statue of Liberty weighs 450,000 pounds. What is this number written in scientific notation?
a)
4.5 x 10-5
b)
45 x 10-4
c)
45 x 104
d)
4.5 x 105
15.

How do you write

8.317 x 106

in standard form?

a)

8, 371, 000, 000

b)

83, 170, 000

c)

837, 100

d)

8, 317, 000

16.
a)

A

b)

B

c)

C

d)

D

17.
What is the y-intercept of this graph?
a)
(0,1)
b)
(0,-2)
c)
(0,0)
d)
(0,3)
18.
What is the y-intercept of the line graphed below?
a)
3
b)
4
c)
-3
d)
4/3
19.
What is the y-intercept of the line?
a)
y = 1/2
b)
y = 1
c)
y = -1/2
d)
y = -1
20.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
21.
What is the y intercept?
y = 2x - 3
a)
3
b)
-3
c)
1
d)
2
22.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
23.
What is the y-intercept?
a)
7
b)
5/2
c)
3
d)
-4
24.
What does 'b" represent in y=mx=b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
25.
What type of slope does the graph have?
a)
Positive
b)
Negative
c)
Zero Slope
d)
Undefined
26.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
27.
What type of slope does the following graph have?
a)
Postive
b)
Negative
c)
Zero Slope
d)
Undefined
28.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
29.
How would you write the equation with a slope of 2/3 and a y-intercept of -3
a)
y=3/2x+3
b)
y=2/3-3
c)
y=2/3x-3
d)
y=2/3x+3
30.
Determine the slope and y-intercept from the following equation:   y = 3/2x + 3
a)
slope: 5   y-intercept:  (0,3) 
b)
slope: 3/2   y-intercept:  (0,3) 
c)
slope:  4  y-intercept:  (0,3/2)
d)
slope: 1/5   y-intercept:  (0,5) 
31.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
32.
What is the y-intercept of this graph?
a)
(0,1)
b)
(0,-2)
c)
(0,0)
d)
(0,3)
33.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
34.
a)
b=2
b)
m=3
c)
b=-3
d)
m=-2
35.
a)
b=1
b)
b=-1
c)
m=1
d)
b=4
36.
a)
b=2
b)
b=-2
c)
m=1
d)
b=0
37.
a)
b=2
b)
b=4
c)
m=4
d)
b=1
38.
a)
b=0
b)
b=-1
c)
b=1
d)
b=8
39.
What is the slope of the line with the equation y = 4x + 12
a)
4
b)
1/4
c)
-4
d)
-1/4
40.
What is the slope of the line with the equation y = 2/3x - 6 ?
a)
2/3
b)
- 2/3
c)
3/2
d)
-3/2
41.
What is the slope of the equation?
y = -3x + 4
a)
-3
b)
4
c)
-4
d)
3
42.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
43.
What is the slope of the line with the equation y = 4x - 7?
a)
4
b)
-7
c)
-3
d)
x
44.
What is the slope in the equation? 
y = 1/2x + 7
a)
7
b)
1/2
c)
-7
d)
1/2x
45.
What is the slope in the equation? 
y = -7/8x - 5
a)
-7/8x
b)
5
c)
-5
d)
-7/8
46.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
47.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
48.
Does this graph represent a proportional relationship?  
a)
No, because it doesn't pass through the origin.
b)
Yes, because it doesn't pass through the origin.
c)
Yes, because it intersects the y axis.
d)
No, because it intersects the x axis.
49.
REVIEW QUESTION
Which best describes the graph represented in this table?
a)
 proportional
b)
non-proportional
50.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
51.
Which graph is proportional?
a)
A
b)
B
c)
C and D
d)
All of the graphs are proportional
52.
REVIEW QUESTION
Is this table proportional or non-proportional?
a)
Proportional
b)
Non-Proportional
53.
Is the graph proportional or non-proportional?
a)
Proportional
b)
Non-Proportional
54.
Which relationship is an example of a proportional function?
a)
a rental company charges $80 per day and a one-time fee of $24
b)
a taxi ride costs $2 for the first mile and $4 for each additional mile
c)
a gym membership cost $30 per month and an additional annual registration fee of $75
d)
Beverly earns $210 a week for 4 weeks
55.
Which table shows a proportional relationship?
a)
A
b)
B
c)
C
d)
D
56.
What is the constant of proportionality?
a)
8
b)
16
c)
24
d)
2
57.
Does this table represent a proportional relationship?
a)
Yes
b)
No
58.
Is this table proportional?
a)
Yes
b)
No
59.
Does the table show a proportional relationship?
a)
Yes
b)
No
60.
Does the table show a proportional relationship?
a)
Yes
b)
No
61.
Write an equation for this situation.
a)
y=9.75x
b)
y=19x
c)
y=19.25x
d)
y=9.5x
62.
Determine the missing value in the table. 
a)
15
b)
3
c)
1/3
d)
9
63.
The cost of popcorn is $2.50 for each bag.
a)
Proportional
b)
Nonproportional
64.
Determine if the linear relationship is proportional or nonproportional. 
a)
Proportional
b)
Nonproportional
c)
Neither
65.
Does the equation show a proportional relationship?
a)
Yes
b)
No
66.
Proportional or Non-Proportional:
The cell phone rate is $9.99 each month and 3 cents a minute
a)
Proportional
b)
Non-Proportional
67.
Shawn makes $7.50 an hour to babysit for his next door neighbors.  Describe the graph of this relationship.
a)
Proportional
b)
Non-proportional
68.
Proportional or Non-Proportional:
The video game rental fee is $15 plus $3 per day. 
a)
Proportional
b)
Non-Proportional
69.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
70.
Does the graph represent a function?
a)
Yes, because the vertical line test shows there are no repeating input values
b)
No, because the vertical line test shows there are repeating input values
71.
Does this mapping diagram represent a function?
a)
No, because there are repeating input values
b)
Yes, because there are no repeating input values
72.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
73.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
74.
a)
Function
b)
Not a Function
75.
a)
Function
b)
Not a Function
76.
a)
Function
b)
Not a Function
77.
a)
Function
b)
Not a Function
78.
Is this mapping a function and how can you tell?
a)
Yes its a function cause all the numbers have lines
b)
No it's not a function because there a 5 in both ovals
c)
No it's not a function because the x value 5 has y values of  2 & 9
d)
No it's not a function because the y value 5 has x values of  2 & 9
79.
Is this graph a function and how can you tell?
a)
Yes its a function cause it doesn't cross itself
b)
No it's not a function because it goes through the origin
c)
No it's not a function because the x value 4 has y values of  -2 & 2
d)
No it's not a function because the y value 4 has x values of  -2 & 2
80.
Is this table a function and how can you tell?
a)
Yes its a function because there are not variables for missing numbers
b)
No it's not a function because the y value 4 repeated
c)
No it isn't a function because the x value 2 is repeated
d)
No it's not a function because the x value 5 has y values of  10 & 12
81.
Is this set of ordered pairs a function and how can you tell?
a)
Yes its a function because no y values repeat
b)
No it's not a function because there are negative numbers
c)
No it isn't a function because an x value repeats but has different y values 
d)
No it isn't a function because an y value repeats but has different x values
82.
Which of the following guarantees a mapping will not be a function?
a)
A x value repeats
b)
An y value repeats
c)
An x value has two or more arrows leaving it
d)
A y value has two or more arrows arriving at it
83.
Which of the following guarantees a table will not be a function?
a)
An x value repeats
b)
A y value repeats
c)
An x value repeats and has different y values
d)
A y value repeats and has different x values
84.
a)
Function
b)
Not a Function
c)
Venn Diagram
d)
T - Table
85.
Find y.
a)
130
b)
50
86.
Find the value of x.
a)
x = 95
b)
x = 85
87.
Find the value of x. 
a)
x = 133
b)
x = 47
88.
What is the measure of the angle?
a)
100
b)
110
c)
90
d)
80
89.
a)
100°
b)
80°
c)
90°
d)
180°
90.
What is the value of the missing angle?
a)
61
b)
50
c)
60
d)
69
91.
a)
41°
b)
65°
c)
102°
d)
115°
92.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
93.
Find the measure of each angle indicated.
a)
48
b)
87
c)
35
d)
40
94.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
95.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
96.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
97.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
98.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
99.

Sides a and b are called legs.

a)

true

b)

false

100.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

101.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03
102.

Which equation reflects the right triangle shown?

a)

x2 + 142 = 202

b)

142 + 202 = x2

c)

142 – 202 = x2

d)

x2 – 142 = 202

103.

What is the length of the hypotenuse in the triangle shown?

a)

3

b)

4

c)

5

d)

8

104.
What is the side of a right triangle across from the right angle called?
a)
square
b)
arm
c)
leg
d)
hypotenuse
105.
Would a triangle with these side lengths be a right triangle?
4, 5, 6
a)
Yes
b)
No
106.
a = 2.1, b = 7.2, c = 7.5
Is this a right triangle?
a)
yes 
b)
no
107.

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

15.7

e)

None of them

108.
Is this a direct variation?
y=2x
a)
yes
b)
no
109.
Is this a direct variation?  y =2x + 1
a)
Yes
b)
No
110.
In a direct variation, y=39 when x=3.  Find the value of y when x=2.
a)
26
b)
3
c)
58.5
d)
2
111.
Which of the given graphs is a direct variation?
a)
A
b)
B
c)
C
d)
D
112.
In a direct variation, y=39 when x=3.  Find the value of y when x=2.
a)
26
b)
3
c)
58.5
d)
2
113.
What is another name for k?
a)
y- intercept
b)
x 
c)
slope
d)
x- intercept
114.
If y vaires directly with x and y= 12 when x= 15. What is the value of x when y= 16?
a)
12.8
b)
20
c)
11.25
d)
19
115.

What is the algebraic representation that describes this reflection?

a)

( x , y )--> ( x , -y )

b)

( x , y )--> ( -x , y )

c)

( x , y )--> ( y , -x )

d)

( x , y )--> ( -y , x )

116.

What is the algebraic representation that describes this rotations?

a)

( x , y )-->( -x , -y )

b)

( x , y )-->( -x , y )

c)

( x , y )-->( y , x )

d)

( x , y )-->( y , -x )

117.

What is the algebraic representation that describes this translation?

a)

( x , y ) --> ( x , y + 4 )

b)

( x , y ) --> ( x - 4 , y )

c)

( x , y ) --> ( x , y - 4 )

d)

( x , y ) --> ( x + 4 , y )

118.

#9: Which transformation does NOT form congruent figures?

a)

translations

b)

reflections

c)

rotations

d)

dilations (enlargements & reductions)

119.

What is the algebraic representation that describes this reflection?

a)

( x , y )--> ( x , -y )

b)

( x , y )--> ( -x , y )

c)

( x , y )--> ( y , -x )

d)

( x , y )--> ( -y , x )

120.

What is the algebraic representation that describes this reflection?

a)

( x , y )--> ( x , -y )

b)

( x , y )--> ( -x , y )

c)

( x , y )--> ( y , -x )

d)

( x , y )--> ( -y , x )

121.

What is the algebraic representation that describes this translation?

a)

( x , y ) --> ( x + 1 , y + 1 )

b)

( x , y ) --> ( x - 1 , y - 1 )

c)

( x , y ) --> ( x + 1 , y - 1 )

d)

( x , y ) --> ( x - 1 , y + 1 )

122.

What is the algebraic representation that describes this translation?

a)

( x , y ) --> ( x + 2 , y + 1 )

b)

( x , y ) --> ( x - 2 , y - 1 )

c)

( x , y ) --> ( x + 2 , y - 1 )

d)

( x , y ) --> ( x - 2 , y + 1 )

123.

What is the algebraic representation that describes this rotations?

a)

( x , y )-->( x , -y )

b)

( x , y )-->( -x , -y )

c)

( x , y )-->( y , x )

d)

( x , y )-->( y , -x )

124.

What is the algebraic representation that describes this rotations?

a)

( x , y )-->( x , -y )

b)

( x , y )-->( -x , y )

c)

( x , y )-->( -y , x )

d)

( x , y )-->( y , -x )

125.

What is the algebraic representation that describes this rotations?

a)

( x , y )-->( x , -y )

b)

( x , y )-->( -x , y )

c)

( x , y )-->( y , x )

d)

( x , y )-->( y , -x )

126.

What is the algebraic representation for this dilation?

a)

( x , y ) --> ( 3/2 x , 3/2 y )

b)

( x , y ) --> ( 1.5 x , 1.5 y )

c)

( x , y ) --> ( 2/3 x , 2/3 y )

d)

( x , y ) --> ( 0.33 x , 0.33 y )

127.

What is the algebraic representation for this dilation?

a)

( x , y ) --> ( 3/2 x , 3/2 y )

b)

( x , y ) --> ( 1.5 x , 1.5 y )

c)

( x , y ) --> ( 2/3 x , 2/3 y )

d)

( x , y ) --> ( 0.33 x , 0.33 y )

128.

What is the algebraic representation for this dilation?

a)

( x , y ) --> ( 25 x , 25 y )

b)

( x , y ) --> ( 0.25 x , 0.25 y )

c)

( x , y ) --> ( 2.5 x , 2.5 y )

d)

( x , y ) --> ( x , y )

129.

What is the algebraic representation for this dilation?

a)

( x , y ) --> ( 3/7 x , 3/7 y )

b)

( x , y ) --> ( 7/3 x , 7/3 y )

c)

( x , y ) --> ( 3x , 7y )

d)

( x , y ) --> ( x +3 , y +7 )

130.

What is the algebraic representation for this dilation?

a)

( x , y ) --> ( 6/3 x , 6/3 y )

b)

( x , y ) --> ( 2 x , 2 y )

c)

( x , y ) --> ( 6x , 3y )

d)

( x , y ) --> ( x +3 , y +6 )

131.
A bank is offering 2.5% simple interest on a savings account.  If you deposit $5,000, how much interest will you earn in three years?
a)
$5375
b)
$375
c)
$37500
d)
$42500
132.
A bank is offering 2.5% simple interest on a savings account.  If you deposit $5,000, what will be the total amount of money in your savings account after three years?
a)
$375
b)
$42500
c)
$5375
d)
$37500
133.
Sarah borrowed $18,000 for 4 years at an annual simple interest rate of 7%.  How much interest will she pay at the end of the 4 years?
a)
$5040
b)
$23040
c)
$504000
d)
$18000
134.
Sarah borrowed $18,000 for 4 years at an annual simple interest rate of 7%.  What is the total amount she will repay for the car loan?
a)
$504000
b)
$5040
c)
$23040
d)
$18000
135.
John deposited $2,000 into a savings account.  How much will John have in his account after 7 months at a yearly simple interest rate of 3¼%?
a)
$2455
b)
$455
c)
$37.92
d)
$2037.92
136.
A bank is offering 7% annual compound interest on a savings account.  If you deposit $1,500, what will be the total amount of money in your savings account after three years?
a)
$337.56
b)
$1837.56
c)
$31500
d)
$30000
137.
A bank is offering 7% annual compound interest on a savings account.  If you deposit $1,500, how much interest will you earn in three years?
a)
$1837.56
b)
$337.56
c)
$30000
d)
$31500
138.
Kara borrowed $21,000 for 5½ years at an annual compound interest rate of 7.5% to buy a car.  What is the total amount she will repay the bank for the auto loan?
a)
$31258.30
b)
$10258.30
c)
$981750
d)
$27165
139.
Aaron deposited $3,000 into a savings account.  How much will Aaron have in his account after 5 months at an annual compound interest rate of 3¼%?
a)
$3040.25
b)
$40.25
c)
$4159.70
d)
$5482.14
140.
Both Ryan and Tom open their accounts with an initial deposit of $3500. They are both planning a six-year investment and will withdraw their money after 6 years. Who will have a greater balance in six years? How much more will that person have?
a)
Tom will have $83.77 more than Ryan.
b)
Ryan will have $83.77 more than Tom.
c)
Ryan will have $3416.23 more than Tom.
d)
Tom will have $3416.23 more than Ryan.
141.
What shape is this?
a)
Cone
b)
Sphere
c)
Cube
d)
Pyramid
142.
What shape is this?
a)
Pyramid
b)
Cylinder
c)
Circle
d)
Cube
143.
This is the formula for which shape?
a)
Spheres
b)
Cones
c)
Cylinders
d)
Prisms
144.
What shape is this?
a)
Cylinder
b)
Cone
c)
Sphere
145.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
146.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
147.
The formula for the Volume of ...
a)
Cylinders
b)
Spheres
c)
Cones
148.
The formula for the Volume of ...
a)
Cylinder
b)
Cone
c)
Sphere
149.
What is the scale factor from ΔDEF to ΔABC?
a)
1/2
b)
7/3
c)
2
d)
10/3
150.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15

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