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OSTP State Test Prep 8th grade Math

Total questions: 60

Worksheet time: 3hrs 45mins

Name
Class
Date
1.

If a number or variable does not have an exponent, we can assume the exponent is:

a)

0

b)

1

2.

The product rule says that when you are multiplying two exponents with the same base, you keep the base and ________ the exponents

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

3.

The quotient rule says that when you are dividing two exponents with the same base, you keep the base and __________ the exponents.

a)

Add

b)

Subract

c)

Multiply

d)

Divide

4.

(x5)4\left(x^5\right)^4  

The power of a power rule says that when an exponential expression is raised to a power (as shown above), you should _________ the inner and outer exponents

a)

add

b)

subtract

c)

multiply

d)

divide

5.

y0=y^0=  

a)

y

b)

0

c)

1

d)

10

6.

x3⋅x4 =x^3\cdot x^4\ =  

a)

x12 x^{12\ }  

b)

x−1x^{-1}  

c)

x7x^7  

d)

x34x^{34}  

7.

x9x4\frac{x^9}{x^4}  =

a)

x13x^{13}  

b)

x36x^{36}  

c)

x5x^5  

d)

x−5x^{-5}  

8.

(x7)2\left(x^7\right)^2  =

a)

x14x^{14}  

b)

x9x^9  

c)

x5x^5  

d)

2x72x^7  

9.
Rewrite using a positive exponent.
7-10
a)
1/710
b)
710
c)
1/7-10
d)
-70
10.

Evaluate:

(−5)2\left(-5\right)^2  



(a)  

11.

Evaluate:

−(52)-\left(5^2\right)  



(a)  

12.
What is scientific notation?
a)
A long way to write numbers containing a few digits
b)
A short way to write numbers containing many, many digits
c)
A number written without exponents
d)
None of the above
13.
Which of these numbers are NOT in scientific notation?
a)
1.2 x 103
b)
5.3 x 109
c)
2.0 x 100
d)
10 x 102
14.
Which one of these numbers is in scientific notation?
a)
8.987000
b)
8.98 x 106
c)
80.987 x 10
d)
8.986
15.
How do you write
8.317 x 106
in standard decimal notation?
a)
8, 371, 000
b)
83, 170, 000
c)
837, 100
d)
8, 317, 000
16.
How do you write
1001
in scientific notation?
a)
1.0001 x 104
b)
1.01 x 105
c)
1.001 x 103
d)
10.1 x 103
17.
Express the following in scientific notation: 
0.0005
a)
50 x 105
b)
5 x 10-4
c)
5 x 10-3
d)
0.5 x 103
18.
Express the following in
standard decimal notation:
8.025 x 10-8
a)
0.00000008025
b)
-0.000000008025
c)
-802,500,000,000
d)
80,250,000,000
19.
(2 x 109)(4 x 10-4)
a)
8 x 1013
b)
8 x 1036
c)
8 x 105
d)
8 x 10-36
20.

Solve:

(20 x 1050) / (4 x 1015)

a)

2.4 x 1051

b)

5 x 1065

c)

8 x 1066

d)

5 x 1035

21.
Evaluate
√36
a)
6
b)
-9
c)
18
d)
-18
22.
Estimate √50. Round your answer to the nearest Whole Number. 
a)
5
b)
10
c)
25
d)
7
23.

Which of the following is a perfect square?

a)

10

b)

25

c)

50

d)

89

24.

Which of the following in not a perfect square?

a)

49

b)

81

c)

111

d)

144

25.
√ 64
a)
4
b)
6
c)
9
d)
8
26.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
27.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
28.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
29.
Find the total surface area of the prism.
a)
48 square inches
b)
64 square inches
c)
88 square inches
d)
76 square inches
30.
a)
410 cm3
b)
420 cm3
c)
402 cm3
d)
401 cm3
31.
Find the volume of the cylinder. Round your answers to the nearest tenth if necessary. Use 3.14 for π.
a)
16.4 cm3
b)
31.7 cm3
c)
31.4 cm3
d)
22.0 cm3
32.
What is the total surface area of the cylinder to the nearest square inch? 
a)
625 in2
b)
1300 in2
c)
1046 in2
d)
414 in2
33.

The slope of the line that goes through the points in this table is...

a)

-3/4

b)

3/4

c)

-1/3

d)

3/10

34.

Find the slope of this line

a)

-3/1 = -3

b)

3/1 = 3

c)

-1/3

d)

1/3

35.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
36.
Write the equation of the line.
a)
y = -2/3x + 4
b)
y = 2/3x + 4
c)
y = 3/2x + 4
d)
y = -3/2x + 4
37.

What is the y-intercept of the line with the equation
y = −2x + 4y\ =\ -2x\ +\ 4  

a)

−2-2  

b)

22  

c)

44  

d)

−4-4  

38.

Solve for x.

4x + 10 = -26

a)
4
b)
-4
c)
-9
d)
9
39.

Solve for x.

5x - 4 + 2x = 3

a)
1
b)
2
c)
3
d)
4
40.

Solve for x.

3x + 2(4x - 4) = 3

a)
4
b)
3
c)
2
d)
1
41.

Solve

10 < 3x + 19

a)
x < 3
b)
x > 3
c)
x < -3
d)
x > -3
42.

Solve

-4x + 14 ≤ 54

a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
43.
What inequality does the number line graph represent?
a)
x ≤ -4
b)
x ≥ -4
c)
x < -4
d)
x < 4
44.
The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below: 
9, 8, 12, 6, 10
What is the mean number of pages she wrote per day?
a)
5
b)
6
c)
9
d)
11
45.
Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is Roger's median score?
a)
127
b)
155
c)
156
d)
193
46.
Find the mode.
7, 1, 1, 7, 1, 4, 1
a)
7
b)
3
c)
1
d)
4
47.
_______ is a part of a group being surveyed.
a)
Sample
b)
Population
c)
Random Sample
d)
Quartile
48.

_________ is a sample in which each individual or object in the entire population has an equal chance of being selected.

a)

Sample

b)

Population

c)

Random Sample

d)

Quartile

49.
_______ is the entire group of objects or individuals considered for a survey.
a)
Sample
b)
Population
c)
Random Sample
d)
Quartile
50.
A school surveys all 7th grade boys to determine what to sell in the school store.  This sample is _________.
a)
Biased
b)
Unbiased
c)
Representative
d)
Peanut butter cups
51.
A student wants to know which type of pizza the students at his high school prefer. Which option would give a unbiased, representative sample:
a)
Asking all the students in the hot lunch line.
b)
Asking 10 random students from each homeroom.
c)
Asking every other student who gets off a school bus.
d)
Asking all the 10th graders.
52.
A bag contains some red-colored and some blue-colored marbles. First a red-colored marble is drawn and then, without replacing the first marble, a blue-colored marble is drawn. Are the two events dependent or independent?
a)
Independent
b)
Dependent
53.

The outcome of one event does affect the outcome of the other event.

a)

independent event

b)

dependent event

54.

The outcome of one event does not affect the outcome of the other event.

a)

independent event

b)

dependent event

55.

Roll dice: 1, 2, 3, 4, 5, 6

What is the probability of rolling a number greater than 2?

a)

2/3

b)

1/2

c)

5/6

d)

1/6

56.
What type of association does this graph have?
a)
positive 
b)
negative
c)
none
d)
all of the above
57.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books.  Use the line of best fit to predict how many chapters would be in a book with 180 pages. 

a)
12 chapters
b)
15 chapters
c)
18 chapters
d)
21 chapters
58.
What is the correlation between length of running start and distance of jump?
a)
positive:  the further you run the further you jump
b)
negative: the less you run the less distance of your jump
c)
positive: the further your running start the less your distance
59.
Describe the correlation in the graph shown.
a)
Strong Negative
b)
Strong Positive
c)
Weak Negative
d)
Weak Positive
60.
A trucking company keeps track of the number of miles each of its drivers logs each week.  Describe the correlation between the number of miles a driver logs and the drivers age.
a)
There is a positive correlation.
b)
There is a negative correlation.
c)
There is no correlation.
d)
There is a parallel correlation

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