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Total questions: 87

Worksheet time: 6hrs 1mins

Name
Class
Date
1.

To which real number set do the following real numbers belong?

a)

Irrational Numbers

b)

Natural Numbers

c)

Rational Numbers

d)

Integers

2.

We know that π (Pi) is approximately equal to 3.141592654... To which subset of the real numbers does π belong?

a)

Irrational Numbers

b)

Rational Numbers

c)

Integers

d)

Natural Numbers

3.

Simplify the expression using exponents.

a)

818

b)

915

c)

98

d)

8115

4.

Write the decimal as a fraction in simplest form

a)
b)
c)
d)
5.

Using exponents, what is the simplified form of the expression (24)7

a)

23

b)

1428

c)

228

d)

211

6.

Using exponents, what is the simplified form of this expression?

a)

59

b)

15

c)

514

d)

55

7.

What is the value of 180?

a)

18

b)

0

c)

1

d)

-18

8.

How do you write the standard number 0.00095 in scientific notation?

a)

9.5 x 10-3

b)

9.5 x 10-5

c)

9.5 x 10-4

d)

9.5 x 10-6

9.

Write the standard number 6,267,000 in scientific notation.

a)

62.67 x 106

b)

6.267 x 106

c)

6.267 x 104

d)

6.267 x 107

10.

How do you write 8.7 x 10-1 in standard form?

a)

0.87

b)

8.7

c)

87

d)

0.087

11.

What is the best estimate for the following.

a)

9.3432...

b)

6.782...

c)

8.2326...

d)

10.7638...

12.

This is between which two integers?

a)

12 and 13

b)

13 and 14

c)

45 and 46

d)

91 and 92

13.

Which integer is a perfect square?

a)

169

b)

24

c)

10

d)

212

14.

What is the slope of the line that passes through the points (5, 1) and (2, -7)?

a)
b)
c)
d)
15.

How many times larger is 5 x 107 than 5 x 102?

a)

1 x 106

b)

1 x 104

c)

1 x 105

d)

1 x 109

16.

Which number is equivalent to 5-1?

a)
b)
c)
d)
17.

Solve for the variable y in the following equation:

3y − 5 − 5y = 3

a)

y = -2

b)

y = -3

c)

y = -4

d)

y = -5

18.

Solve for the variable x in the following equation:


3(x-6)+2x=22

a)

x=8

b)

x=2

c)

x=18

d)

x=3

19.

Solve for the variable t in the following equation:


2(t + 6) + 3 = 9 + 5t

a)

t = 16

b)

t = 2

c)

t = -8

d)

t = -10

20.

6x + 10 = 2(3x + 4)

a)

x = 0

b)

x = 2

c)

No solutions

d)

Infinite solutions

21.

4(6k - 12) = 3(8k - 16)

a)

x = 3

b)

x = -3

c)

no solutions

d)

infinite solutions

22.

Solve for the variable y in the equation:

2x + 2y = 6

a)

y = - x + 3

b)

y = x + 3

c)

y = 2x +6

d)

y = - 2x + 6

23.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
24.
Enlargement or reduction?  Find the scale factor!
a)
It's a reduction; the scale factor is 2.
b)
It's an enlargement; the scale factor is 2.
c)
It's an enlargement; the scale factor is 1/2.
d)
It's a reduction; the scale factor is 1/2.
25.
Evaluate using the quotient rule: 
a)
a8b13
b)
a2b7
c)
a15b30
26.
Simplify:  3x3 ⋅ 3x
a)
32x4
b)
3 ⋅ x ⋅ x ⋅ x ⋅3 ⋅ x 
c)
9x4
d)
3x4
27.
Simplify:    (6x2)(-3x5)
a)
18x7
b)
-18x7
c)
18x7
d)
3x7
28.

Which line has the equation

y = 2x + 1

a)
b)
c)
d)
29.
What is the equation of this line?
a)
x=5
b)
y=5
c)
y=5x
d)
x=-5
30.
In the equation y=mx+b, b is the ____.
a)
Slope
b)
Y-intercept
c)
X-intercept
d)
Origin
31.
Slope is ________.
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
32.
What is the solution to this system?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
33.
How many solutions will this system have? 
a)
No solution
b)
One Solution
c)
I Don't Know
d)
Infinitely Many Solutions
34.
What is the value of the missing angle?
a)
61
b)
50
c)
60
d)
69
35.
How do you calculate slope using a graph?
a)
rise over run
b)
run over rise
c)
look at the y intercept
d)
look at the x intercept
36.
What letter represents the slope of a line in the equation y = mx + b?
a)
y
b)
m
c)
x
d)
b
37.

Does this mapping diagram represent 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 paired with it.

d)

No, because each x-value has only one y-value paired with it.

38.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
39.
Divide:
(6.9 x 107) / (2.3 x 10-3)
a)
3 x 1010
b)
3 x 104
c)
3 x 10-4
d)
3 x 10-11
40.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(0, 1)
41.
Numbers like -3, -2, -1, 0, 1, 2, 3 are called
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
42.
0.8 is a rational number
a)
True
b)
False
43.
The formula V=(1/3)∏r2h is used to find the volume for ______.
a)
A cube
b)
A cylinder
c)
A sphere
d)
A cone
44.
a)
Function
b)
Not a Function
45.
a)
F
b)
G
c)
H
d)
J
46.
Nicolas places his 30 foot ladder against a house he is painting.  If the foot of the ladder is 8 feet from the base of the house, how high above the ground is the top of the ladder touching the house?  Round to the nearest tenth.
a)
22.0 ft
b)
27.8 ft
c)
28.9 ft
d)
31.0 ft
47.
At a home improvement store, customers can rent a small cargo truck to transport any large items they purchase.  The store charges $20 as a rental fee plus $7.50 per hour to rent the truck.  Which equation best represents the situation?  
a)
y=7.5x - 20
b)
y=7.5x + 20
c)
y=20x - 7.5
d)
y=20x + 7.5
48.
Which scatter plot shows a linear relationship between x and y?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
49.

If one of the legs is 6 and the other is 12, what is the hypotenuse of the right triangle?

a)

36

b)

144

c)

13.4

d)

180

50.

Y= -3x+4, which graph represents this equation

a)
b)
c)
d)
51.

what is the slope?

a)

3/2

b)

4

c)

9/4

d)

9/2

52.

find the volume of the cylinder

a)

24

b)

365

c)

1

d)

98

53.

are they similar?

a)

Yes

b)

No

54.
a)

Alternate interior

b)

alternate exterior

c)

corresponding

d)

intersecting lines

55.

What do you do to find the side length of a square?

a)

Find the square Root

b)

Divide by 4

c)

Divide by 2

d)

Nothing

56.
What is the equation of this line?
a)
0
b)
undefined 
c)
y = -2
d)
x = -2
57.
Give the equation for the graph
a)
y = 5x - 3
b)
y = 4x + 2
c)
y =-2x + 5
d)
y = - 2x + 4
58.
The graph represents the height of a burning candle.  What is the meaning of the y-intercept?
a)
the time it takes to burn the entire candle
b)
the rate at which the candle is losing height
c)
the change in the height of the candle each hour
d)
the original height of the candle
59.
Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.
y=0.5x+10
What does the slope of the graph of this equation represent?
a)
The daily fee for the moving truck
b)
The per-mile fee for the moving truck
c)
How much Charlie paid for the truck
d)
The number of miles he drove
60.
Given the table, write the equation in the slope-intercept form.
a)
y = 1/3x + 6
b)
y = 3x + 6
c)
y = 2x + 6
d)
y = 1/2x + 6
61.
What is the equation of this line?
a)
x=-2
b)
y=-2x
c)
x=2
d)
y=-2
62.
The graph represents the money in a savings account.  What is the meaning of the y-intercept?
a)
The initial deposit was $30
b)
$30 is added to the account each week
c)
It took 30 weeks to same enough money to open an account
d)
not enough information
63.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
64.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
65.
Is this set of ordered pairs a function or not a function? 
a)
Function
b)
Not a Function 
66.

Which two functions have a graph that is a line?

a)

y = 3/x + 2

b)

y = 2x2– 9x

c)

y = –3x

d)

y = 2x – 9

e)

y = –6x/7

67.
Who has the greater rate of change?
a)
Hunter has the greater rate of change.
b)
Casey has the greater rate of change 
c)
They have the same rate of change
68.
Who has the greater rate of change?
a)
Tyler has the greater rate of change with 2/3
b)
Aubri has the greater rate of change with 3/2
c)
Tyler has the greater rate of change with 3/2
d)
They have the same rate of change.
69.

What are the rate of change and initial value?

a)

Rate of Change = 3 Initial Value = 8

b)

Rate of Change = 1/3 Initial Value = 8

c)

Rate of Change = 8 Initial Value = 3

d)

Rate of Change = 8 Initial Value = 1/3

70.
a)
Function
b)
Not a Function
71.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
72.

What represents the dependent variable in this table?

a)

Income

b)

{6,9, 12, 15}

c)

Routes

d)

{19.20, 28.80, 38.40, 48.00}

73.

What is the Range of this Function?

a)

{2,3,4,6,8,9}

b)

{1,2,4,8}

c)

{1,2,1,2,4,8}

d)

{2,4,6,8}

74.

What is the solution to the following inequality?

a)

x < 5/9

b)

x < 5

c)

x < 1

d)

x > 1

75.
Which statement describes the relationship between the data sets displayed on the scatterplot?
a)
The number of pets owned by a student increases as the student’s science test score increases.
b)
The number of pets owned by a student decreases as the student’s science test score increases.
c)
The number of pets owned by a student remains the same as the student’s science test score increases.
d)
There is no relationship between the number of pets owned by a student and the student’s science test score.
76.
The scatterplot below suggests which of the following types of data relationship?
a)
Weak, negative
b)
weak, positive
c)
strong, negative
d)
strong, positive
77.
Which situation would most likely have a scatterplot with a negative correlation?
a)
age of a baby and weight of that baby
b)
outside temperature and cooling costs
c)
amount of air in a balloon and size of balloon
d)
number of questions missed on a test and test grade
78.
What percentage of girls have blonde hair?
a)
30%
b)
32%
c)
29%
d)
40%
79.
What percentage of SUV's are driven by women?
a)
56.25%
b)
75%
c)
83.25%
d)
86.5%
80.
What percent of people who play an instrument do not play a team sport?
a)
80%
b)
27.2%
c)
40%
d)
90.1%
81.
V = ?
a)
150.72 mm3
b)
904.32 mm3
c)
2,712.96 mm3
82.
A party hat, in the shape of a cone, has an opening of 6 inches, and a height of 9 inches.  Which measurement is closest to the volume of the hat?
a)
84.82
b)
339.29
c)
254.47
d)
10174.88
83.
What is the relationship between the volume of cylinder to a similar cone with the same dimensions?
a)
The volume of the cone is 3-times larger
b)
The volume of the cylinder is 3-times larger
c)
The volume of the cone is 2-times larger
d)
The volume of the cylinder is 2-times larger
84.
Four times a number, increased by 6 is greater than 22.  Which inequality models this scenario?
a)
4x - 6 > 22
b)
4x + 6 < 22
c)
4x + 6 ≥ 22
d)
4x + 6 > 22
85.
Which inequality matches the graph?
a)
A
b)
B
c)
C
d)
D
86.
When graphing an inequality, what does a closed circle mean?
a)
The number is not included in the list of answers.
b)
The number is included in the list of answers.
87.

Which numbers are possible solutions to the inequality... (SELECT ALL THAT APPLY)

-5x + 10 < 30

a)

0

b)

100

c)

-100

d)

-3

e)

-4

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