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PreAlgebra Final exam

Total questions: 83

Worksheet time: 4hrs 49mins

Name
Class
Date
1.
Apply the order of operations and choose the correct answer:
40 - 8 + 4 x 2
a)
32
b)
40
c)
64
2.
(7 + 41) ÷ 2 – 15
a)
19
b)
9
c)
25
d)
3
3.
True or False?
2 + (4 x 5 - 2) + 8 = 28
a)
True
b)
False
4.
Simplify:
[25-(13+4)+4] ÷ 3
a)
6
b)
2
c)
3
d)
4
5.
If a = 4 & b = 6, what is 3a + 5b?
a)
40
b)
42
c)
44
d)
46
6.
If a=4,b=5 and c=6,find 2c-a-b
a)
4
b)
3
c)
6
7.
Identity Property of Multiplication
a)
5 x 0 = 0
b)
8 x 3 = 3 x 8
c)
12 x 1 = 12
d)
8 + 0 = 8
8.
Commutative Property of Multiplication
a)
8 + 2 = 2 + 8
b)
7 x 1 = 7
c)
7 + 0 = 7
d)
7 x 6 = 6 x 7
9.
What property is this? 
5 + (8 + 14) = (5 + 8) + 14
a)
Associative Property of Multiplication
b)
Distributive Property
c)
Identity Property
d)
Associative Property of Addition
10.
Which property of multiplication is shown?  
(6+3) x 7 = 6 x 7 + 3 x 7
a)
Commutative Property
b)
Identity Property
c)
Associative Property
d)
Distributive Property
11.

2 (x + 4)

a)

2x + 4

b)

2x + 8

c)

2x + 6

d)

10x

12.

2 (x + 4)

a)

2x + 4

b)

2x + 8

c)

2x + 6

d)

10x

13.

-3 (a + 3)

a)

3a - 9

b)

-3a + 9

c)

3a + 9

d)

-3a - 9

14.
What is the ordered pair for point A?
a)
( 2, 0)
b)
( 0 , 2)
c)
(0, -2)
d)
(-2,0)
15.
What is the letter is a the the ordered pair (0, 3)?
a)
A
b)
M
c)
R
d)
L
16.
Where is T?
a)
(-3, -2)
b)
(-2,-3)
c)
(3,2)
d)
(-3,2)
17.
The __ - axis is vertical in the coordinate plane.
a)
X
b)
Y
c)
Z
d)
None of the above
18.
The __ - axis is the horizontal axis of the coordinate plane.  
a)
X
b)
Y
c)
Z
d)
None of the above
19.
If you were to plot the point (4, -12) what would be the correct method?
a)
Up 4, left 12
b)
Right 4, up 12
c)
Down 4, left 12
d)
Right 4, down 12
20.
| –12 | – | 8 |
a)
4
b)
-4
c)
30
d)
-20
21.
-8 - (-4) =
a)
12
b)
-12
c)
4
d)
-4
22.
-4(-1)(-2)
a)
-8
b)
8
c)
-7
d)
7
23.

Find the sum of

3/8 and 1/3.

Reduce, or simplify answer.

a)

4 / 11

b)

1 / 8

c)

17 / 24

d)

1 / 24

24.

Find the difference.

7/8 - 4/5

Reduce, or simplify answer.

a)

-1 / 40

b)

3 / 40

c)

3 / 8

d)

1

25.

Find the product of

(1/6) and (2/3).

Reduce, or simplify answer.

a)

1 / 4

b)

9

c)

1 / 9

d)

3 / 12

26.

Perform the indicated operation.

(4/5) ÷ (5/6)

Write answer in lowest terms.

a)

24 / 25

b)

4 / 6

c)

2 / 3

d)

24 / 5

27.
What is/are the coefficient(s) of
 2x + 9 + 7x?
a)
2, 9, 7
b)
2, 7
c)
2x, 7x
d)
9
28.

Simplify by combining like terms:

5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

29.
What is 30% of 50?
a)
16
b)
16.3
c)
17.4
d)
15
30.
Express 16/25 as a percent.
a)
0.64%
b)
64%
c)
1.5625%
d)
15.625%
31.
Write the fraction 3/8 as a decimal. 
a)
37.5
b)
2.6666...
c)
0.375
d)
0.26666...
32.

Which is the fraction for .21?

a)

1/21

b)

21/100

c)

21/10

d)

21/1

33.

Which is the fraction for .21?

a)

1/21

b)

21/100

c)

21/10

d)

21/1

34.

Which is the decimal for 4/5?

a)

,08

b)

.45

c)

.8

d)

4.5

35.

Which is the percent for 1.67

a)

167%

b)

.0167%

c)

16.7%

d)

1670%

36.

Which is the fraction for 33%?

a)

33/1

b)

33/10

c)

1/3

d)

33/100

37.

If 45% of the class are boys, what percent are girls?

a)

35%

b)

45%

c)

55%

d)

65%

38.

Find the slope of the line.

Hint: rise/run

a)

1/2

b)

-1/2

c)

2

d)

0

39.

Find the slope.

Hint: rise/run

a)

-5/3

b)

-3/5

c)

5/3

d)

5

40.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
41.
Round 23.542 to the nearest tenth.
a)
23.5
b)
23.6
c)
23.54
d)
23
42.
Use the >,<, or=0.07____ 0.7
a)
<
b)
>
c)
=
43.
Order the decimals from least to greatest.0.38, 0.4, 0.36
a)
0.38, 0.4, 0.36
b)
0.4, 0.36, 0.38
c)
0.36, 0.4, 0.48
d)
0.36, 0.38, 0.4
44.
the difference if 3 times a number and 7
a)
3 - 7n
b)
3n - 7
c)
3n + 7 
d)
3 / 7n
45.

The circumference of a circle is 18π. What is the radius of this circle? (C = 2πr)

a)

18

b)

16

c)

9

d)

2

46.

What is the area of a circle, if the radius is 6 cm? Use: A=πr2

a)

6π cm2

b)

12π cm2

c)

36π cm2

d)

64π cm2

47.
a)
3
b)
1/3
c)
1/8
d)
8
48.
How many triangles can be constructed with angle measurements ​ 90°,45°,50° ​ ?
a)
no triangles
b)
more than one triangle
c)
exactly one triangle
49.
A circular tablecloth has a diameter of 48 centimeters. Martel wants to sew a decorative braid around the tablecloth.What is the circumference around the tablecloth? Use 3.14 to approximate for π . Round your answer to the nearest tenth.
a)
123.4 cm
b)
150.7 cm
c)
32.5 cm
d)
54.3 cm
50.
A circular swimming pool has a diameter of the 26 feet.What is the area of the swimming pool?Use 3.14 to approximate for π . Round your answer to the nearest tenth.
a)
245.2 ft2
b)
444.5 ft2
c)
659.4 ft2
d)
530.7 ft2
51.
a)
10 in2
b)
2100 in2
c)
3636 in2
d)
13 in2
52.
a)
201 in3
b)
199 in3
c)
300 in3
d)
200 in3
53.

Mia borrows $2550 to buy a moped. Her interest rate is 4% for 3 years. What is the interest amount Mia has to pay?

a)

$206

b)

$506

c)

$306

d)

$606

54.
Mrs. Price is doing an experiment chilling Mercury. The temperature goes down 14.60°F every hour for 5 hours. What is the total change in temperature?
a)
-19.60°F (the temperature dropped)
b)
-2.92°F (the temperature dropped)
c)
-73°F (the temperature dropped)
d)
73°F (the temperature raised)
55.
Mrs. Dalton entered a canoe race. She rowed 12 miles in 4 hours. What is her average speed in miles per hour?
a)
3 miles per hour
b)
8 miles per hour
c)
12 miles per hour
d)
16 miles per hour
56.
If Mr. Foley walks ½ mile in each ¼ hour, find the unit rate.
a)
½ miles per hour
b)
4 miles per hour
c)
2 miles per hour
d)
¼ miles per hour
57.
Recall the definition of a unit rate.
a)
A whole number without a fraction or decimal.
b)
A number that is positive or negative.
c)
The quantities x and y in a ratio.
d)
The rate for one unit of a given quantity
58.
A large bottle of Ketchup is $4.00 for 20 ounces. Apply this unit rate to determine the cost of a small 12 ounce bottle.
a)
$16.00
b)
$80.00
c)
$0.20
d)
$2.40
59.
Determine the coefficient for the following expression:
4x + 12 + 10
a)
4
b)
12
c)
13
d)
x
60.
Use the distributive property to expand the following expression: 6(4 + x)
a)
30x
b)
24x
c)
24 + x
d)
24 + 6x
61.
Mrs. Patton needs to be at school by 7:30AM. She wakes up at 6:00AM. It takes her 1¼ hours to get ready and it takes her ½ an hour to eat breakfast and drive to school. Will she make it to school on time?
a)
Yes, she makes it to school at 7:30
b)
Yes, she makes it to school at 7:45
c)
No, she makes it to school at 7:45
d)
No, she makes it to school at 7:30
62.
solve for c
a)
7
b)
9
c)
4
d)
13
63.
Solve the equation below:
a)
k = 152
b)
k = 176
c)
k = 5
d)
k = 27
64.
19  + a  =  -50
a)
a = -950
b)
a =  -69
c)
a = -31
d)
a = -50/19
65.
What does the "B" in the volume formula V = B x h stand for?
a)
Bottom of the object
b)
Box
c)
Between
d)
Area of the base
66.
Find the volume of the cylinder. Round your answers to the nearest tenth if necessary. 
a)
16.4 cm3
b)
31.7 cm3
c)
31.4 cm3
d)
22.0 cm3
67.
Simplify.
a)
A
b)
B
c)
C
d)
D
68.
How would you write 0.0005 in scientific notation?
a)
50 x 105
b)
5 x 104
c)
5 x 103
d)
.5 x 103
69.
What is scientific notation?
a)
A long way to write really short  numbers
b)
A short way to write really long numbers
c)
I don't know...
d)
None of the above
70.

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

71.

What is the value of 180?

a)

18

b)

0

c)

1

d)

-18

72.

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

73.

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

74.

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

75.

This is between which two integers?

a)

12 and 13

b)

13 and 14

c)

45 and 46

d)

91 and 92

76.

Which integer is a perfect square?

a)

169

b)

24

c)

10

d)

212

77.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
78.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x2 + 3x +1
b)
-2x2 - 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
79.
What is the degree of the polynomial
 x2-2x+5
a)
1
b)
2
c)
3
d)
0
80.
Combine like terms to simplify:
 (5x + 2) + (4x + 5)
a)
9x -7
b)
-9x-11
c)
9x+7
d)
x+7
81.
Simplify:
5(3x+2)
a)
3x+10
b)
15x+10
c)
15x-10
d)
3x-10
82.
What is the term classification of the following polynomial?
x³-7x²+3
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
83.
What is the leading coefficient of the following polynomial?
5x²-3x+6
a)
2
b)
-3
c)
5
d)
6

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