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Final Exam review #2

Total questions: 82

Worksheet time: 4hrs 33mins

Name
Class
Date
1.

What type if number is  2\sqrt{2}  ?

a)

Integer

b)

Rational Number

c)

Irrational Number

d)

Whole Number

2.

What type of number is  3.5‾3.\overline{5}  ?

a)

Integer

b)

Rational Number

c)

Irrational Number

d)

Natural Number

3.

Check all the numbers that are rational.

a)

36\sqrt{36}

b)

−38-\frac{3}{8}

c)

4π4\pi

d)

−200-200

4.

How can you tell if a number is rational?

a)

it has a positive value

b)

it can be written as a ratio of two integers (a fraction)

c)

it has a negative value

d)

it has a π\pi symbol

5.

 −134-\frac{13}{4}  is ______________  −9-\sqrt{9}  

a)

greater than

b)

less than

c)

equivalent to

6.
Classify the following:
0.04769165821735......
a)
Irrational
b)
Rational
7.
Classify 0
a)
Whole
b)
Integer
c)
Rational
d)
All of the above
8.
Classify 3
a)
Natural, Whole, Integer, Rational
b)
Whole, Rational
c)
Integer
d)
Rational
9.
What is the definition of integers?
a)
Numbers you count on your fingers and toes
b)
Natural numbers and zero
c)
Whole numbers and their opposites
d)
Terminating or repeating decimals
10.
Classify the following:
 -78
a)
integer
b)
integer, real
c)
integer, whole, rational
d)
integer, rational, real
11.
Classify 17/10
a)
Whole
b)
Rational
c)
Natural
d)
None of the above
12.
-14 could NOT be which type of number?
a)
Integer
b)
Real
c)
Rational
d)
Natural
13.
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.
14.
What type of number is  ⅛
a)
whole 
b)
rational
c)
irrational
d)
integers
15.

 −17−(−2)=-17-\left(-2\right)=  

a)

19

b)

-19

c)

15

d)

-15

16.

 Simplify: −459Simplify:\ \frac{-45}{9}  



(a)  

17.

 15+(−21)=15+\left(-21\right)= 



(a)  

18.

 −35÷(−7)-35\div\left(-7\right)  

a)

5

b)

-5

c)

-42

d)

42

19.

 Simplify: −162Simplify:\ -\frac{16}{2} 

(a)  

20.

 Simplify: −8−64Simplify:\ \frac{-8}{-64}  

a)

 88  

b)

 −8-8  

c)

 18\frac{1}{8}  

d)

 −18-\frac{1}{8}  

21.

 −42+17=-42+17=  

a)

25

b)

-25

c)

59

d)

-59

22.

 −20+46=-20+46=  



(a)  

23.

 −18−12=-18-12=  

a)

6

b)

-6

c)

30

d)

-30

24.

 −7×6=-7\times6=  

a)

-1

b)

42

c)

-42

d)

-35

25.

-6 + (-8) =

a)

-14

b)

14

c)

-48

d)

48

26.

-8 - (-3) =

a)

5

b)

11

c)

-11

d)

-5

27.

Which integers are in ascending order?

a)

0, -2, 4, -6, 9, 11

b)

0, -2, -6, 4, 9, 11

c)

-2, -6, 0, 4, 9, 11

d)

-6, -2, 0, 4, 9, 11

28.

At lunch, the temperature in Alaska was 10°F. That night, the temperature was -3°F. What was the change in temperature?

a)

7

b)

13

c)

-13

d)

-7

29.

A scuba diver is swimming at a depth of -12 feet. She dives down to five times the depth. What is her depth now?

a)

-7 feet

b)

-60 feet

c)

-17 feet

d)

60 feet

30.
When multiplying or dividing a NEGATIVE and POSITIVE number your result will be...
a)
Positive
b)
Negative
c)
Depends on which is bigger.
31.
When adding a NEGATIVE number and NEGATIVE number,  your result will be...
a)
Positive
b)
Negative
c)
The sign of the larger absolute value
d)
The sign of the smaller absolute value
32.
3 - (-13)
a)
-10
b)
10
c)
-16
d)
16
33.
The keywords "at least" are used with which of the following symbols?
a)
≥
b)
≤
c)
>
d)
<
34.
The keywords "at most" are used with which of the following symbols?
a)
≤
b)
>
c)
<
d)
≥
35.
x - 7 ≥ 4
a)
x ≥ 11
b)
x ≥ -11
c)
x ≥ 3
d)
x ≥ -3
36.
14 ≥ x - 8
a)
22 ≥ x
b)
-22 ≥ x
c)
6 ≥ x
d)
-6 ≥ x
37.
Which of the following symbols means "less than"?
a)
<
b)
>
c)
≤
d)
≥
38.
Which of the following symbols means "more than"?
a)
>
b)
<
c)
≤
d)
≥
39.
5x - 7 ≥ 8
a)
x ≥ 3
b)
x  ≤ 3
c)
x = 3
d)
x ≠ 3
40.
The keywords "not equal to" are used with which of the following symbols?
a)
≠
b)
≤
c)
>
d)
<
41.
9x - 3 > 6
a)
x > 1
b)
x < 1
c)
x ≥ 1
d)
x = 1
42.
9x - 3 > 6
a)
x > 1
b)
x < 1
c)
x ≥ 1
d)
x = 1
43.
Solve and graph.
p - 3 > -8
a)
A
b)
B
c)
C
d)
D
44.
Solve and graph.
k - 13 > -51
a)
A
b)
B
c)
C
d)
D
45.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ -3
46.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ -3
47.
There are 34 pine trees currently in the park. Park workers will plant more pine trees today. When the workers are finished there will be 50 pine trees in the park. Write an equation that could be used to find how many pine trees they planted.
a)
50 + x = 34
b)
34 + x = 50
c)
x - 34 = 50
d)
34 - x = 50
48.

Janeen's mother is 47. She is 26 years older than Janeen. Which equation can be used to find Janeen's age j?

a)

j + 26 = 47

b)

26j = 47

c)

j - 26 = 47

d)

47j = 26

49.
Sally had 10 peaches left at her roadside fruit stand. She went to the orchard and picked more peaches to stock up the stand. There are now 73 peaches at the stand. Write an equation that could be used to find how many peaches she picked.
a)
x + 10 = 73
b)
73 + x = 10
c)
10x = 73
d)
x - 10 = 73
50.
What is the correct step to solve for the variable?
15 = m - 5
a)
add 15 to both sides
b)
add 5 to both sides
c)
subtract 15 from both sides
d)
subtract 5 from both sides
51.
What equation matches this situation?
Robyn had some video games then bought 4 more.  Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
52.
What is the inverse operation of subtraction?
a)
Subtraction
b)
Multiplication
c)
Division
d)
Addition
53.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
54.

Which equation matches the table?

a)

y =4 x + 7

b)

y = 1/4x +11

c)

y = 4x -11

d)

y = 11x + 4

55.

Does this graph show a proportional relationship?

a)

Yes, because it is linear

b)

Yes, because it is linear and goes through the origin.

c)

No, because it is not linear

d)

No, because it does not go through the origin.

56.

Sally will earn $30 for every 5 hours that she babysits. Which of the following equations can be used to represent the proportional relationship?

a)

y = 1/6x +30

b)

y = 6x

c)

y = 5x + 6

d)

y = 6x +5

57.

Proportional relationships must go through the origin. (0,0)

a)

True

b)

False

58.

Which of these terms is NOT used to describe the "m" in the equation y=mx+b.

a)

Constant rate of change

b)

starting point

c)

unit rate

d)

Constant of proportionality

59.

Johnny went to the carnival. It cost $7 to get in and $2 for every ticket.

Which equation would match this verbal description?

a)

y = 2x

b)

y = 7x + 2

c)

y = 7x + 0

d)

y = 2x + 7

60.

Billy opened a bank account with $200, and every week he spends $15.

Which equation best represents this situation?

a)

y = -15x + 200

b)

y = 15x - 200

c)

y = 200x + 15

d)

y = 15x + 200

61.

What values would be in the next row?

a)

11 & 16

b)

10 & 22

c)

10 & 20

d)

11 & 22

62.

Nicholoas is buying shirts for his baseball team. He will pay $9.50 for each shirt plus a one-time fee of $22.50 for the design. Which equation can be used to find y, the total cost to buy x shirts?

a)

y=9.5x+22.5y=9.5x+22.5

b)

y=22.5x+9.5y=22.5x+9.5

c)

y=9.5x−22.5y=9.5x-22.5

d)

y=22.5x−9.5y=22.5x-9.5

63.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
64.
Slope is know as rise/
a)
run
b)
fall
c)
none
d)
rise
65.
What does 'b" represent in y=mx+b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
66.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
67.

What is the slope of the line with the equation
 y = −32x + 4y\ =\ -\frac{3}{2}x\ +\ 4  

a)

 −32-\frac{3}{2}  

b)

 32\frac{3}{2}  

c)

 44  

d)

 −4-4  

68.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
69.
Determine the slope.
a)
m=1/7
b)
m=-1/7
c)
m=-7
d)
m=7
70.
Find the slope given the points (2, −7) and (−1, 6). 
a)
-13/3
b)
13/3
c)
0
d)
2/3
71.
What is the y-intercept of the line graphed below?
a)
3
b)
4
c)
-3
d)
4/3
72.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
73.
Find the y-intercept
a)
(6,0)
b)
(0,6)
c)
(0,3)
d)
(0,1)
74.
Is the slope positive or negative?
a)
positive
b)
negative
75.

Find the point for the y-intercept.
a)
(2,0)
b)
(0,2)
c)
(0,-2)
d)
(-2, 0)
76.
What are supplementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect
77.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
78.
Two angles that add up to 90 degrees are called _____________ ______.
a)
supplementary angles
b)
complementary angles
c)
corresponding angles
d)
right angles
79.
What kind of angles are these?
a)
complementary
b)
supplementary
c)
adjacent
d)
corresponding
80.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
81.
Find the measure of the missing angle.
a)
30o
b)
110o
c)
150o
d)
40o
82.
Find the measure of the missing angle.
a)
135o
b)
35o
c)
45o
d)
30o