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PM3 Review (Math_8th Grade)

Total questions: 60

Worksheet time: 4hrs 17mins

Name
Class
Date
1.

The half-life of Uranium is 2.5 x 105 years. What is this in standard form?

a)

2500000

b)

250

c)

25000

d)

250000

2.

Write 4.83 x 10-6 in Standard Form.

a)

0.00048300

b)

0.00004830

c)

0.00000483

d)

0.00000438

3.

Mercury’s average distance from the sun is 57,190,000 km. What is the distance in scientific notation?

a)

5719 x 104

b)

571.9 x 105

c)

57.19 x 106

d)

5.719 x 107

4.

(3 x 107)(3.1 x 10-4)

a)

9.3 x 10-28

b)

9.3 x 103

c)

6.1 x 103

d)

6.1 x 10-28

5.
a)

2.1 x 106

b)

2.1 x 10-6

c)

9.9 x 106

d)

9.9 x 10-6

6.

The thickness of a human hair can be about 6 x 10-3 centimeters. Which shows this thickness in standard form?

a)

6000 cm

b)

0.06 cm

c)

0.006 cm

d)

0.0006 cm

7.

The average distance from Jupiter to the Sun is about 5 x 108 miles. The average distance from Venus to the Sun is about 7 x 107 miles. Which planet is further from the Sun?

a)

Venus

b)

Earth

c)

Mars

d)

Jupiter

e)

Saturn

8.
What is the simplified version of
a)
3.9 x 106
b)
4 x 1020
c)
4 x 106
d)
3.9 x 1020
9.
Solve:
(6 x 106) / (2 x 103)
a)
12 x 103
b)
3 x 109
c)
1.2 x 104
d)
3 x 103
10.
Multiply:
(9.4 x 106)(3.2 x 105)
a)
30.08 x 1011
b)
3.8 x 101
c)
3.008 x 1012
d)
2.9375 x 101
11.


(4.1×105)+(5.5×106)\left(4.1\times10^5\right)+\left(5.5\times10^6\right)  

a)

5.91 x 106

b)

9.6 x 105

c)

9.6 x 1011

d)

4.65 x 105

12.

(5.2×107)+(3.01×104)\left(5.2\times10^7\right)+\left(3.01\times10^4\right)  

a)

5.20301 x 10¹¹

b)

.520301 x 10⁷

c)

5.20301 x 10⁷

d)

5.20301 x 10⁸

13.

(8.0×1013)−(7.5×1012)\left(8.0\times10^{13}\right)-\left(7.5\times10^{12}\right)  

a)

7.25 x 1013

b)

7.25 x 1012

c)

5.0 x 1012

d)

5.0 x 1013

14.

(7×108)−(4×106)\left(7\times10^8\right)-\left(4\times10^6\right)  

a)

6.96×1086.96\times10^8  

b)

3×1023\times10^2  

c)

6.996×1086.996\times10^8  

d)

6.96×10146.96\times10^{14}  

15.
What is the solution?
a)
No solution
b)
(0, 2)
c)
(0, -4)
d)
(3, -3)
16.
These two lines intersect at _____.
a)
(4, -2)
b)
(4, 2)
c)
(-2, 4) 
d)
No solution
17.
What is the solution to the system?
a)
(6, 8)
b)
(8, 6)
c)
(-6, 8)
d)
No solution
18.
When you graph the exact same equation twice,
a)
you will have no solution. 
b)
you will have one solution.
c)
you will have infinite solutions. 
d)
you will graph a giraffe. 
19.
The solution (x, y) to a system of equations is the point where they...? 
a)
Run off the graph
b)
Don't touch
c)
Intersect
d)
Exist
20.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
21.
Which runner was faster?
a)
Runner A
b)
Runner B
22.

Which equation matches the graph? (Click me to see the image)

a)

y=−14x+2y=-\frac{1}{4}x+2

b)

y=14x+2y=\frac{1}{4}x+2

c)

y=x+4y=x+4

d)

y=4x+2y=4x+2

23.

How would you write the equation of a line with a slope of 2/3 and a y-intercept of -3

a)

y=32x+3y=\frac{3}{2}x+3

b)

y=23−3y=\frac{2}{3}-3

c)

y=23x−3y=\frac{2}{3}x-3

d)

y=23x+3y=\frac{2}{3}x+3

24.

Write the slope-intercept form of the line shown in the graph.

a)

y = 4/5 x − 1

b)

y = −x − 4/5

c)

y = x − 4/5

d)

y = −4/5 x − 1

25.

What are the TWO important characteristics a graph needs to have to be considered Proportional?

a)

It needs to be a straight line

b)

The line needs to pass through the origin

c)

The line CANNOT pass through the origin

d)

The line CANNOT be a straight line.

26.

Is this graph proportional or non-proportional?

a)

Proportional

b)

Non-Proportional

27.

This graph is NOT proportional. What would MAKE it be proportional? (What requirement is it missing?)

a)

The line needs to be straighter.

b)

The line needs to start at the origin (0,0)

28.

Using the equation

yx\frac{y}{x}  determine the constant of proportionality of the table. (Select ONE answer)

a)

9

b)

(3, 27)

c)

18

d)

0

29.
Which of these could be a constant of proportionality.
a)
20
b)
40
c)
2
d)
80
30.
Does the table show a proportional relationship?
a)
Yes
b)
No
31.
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
32.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the y-axis
c)
Reflection across the x-axis
d)
90o counter clockwise Rotation
33.

Identify the transformation.

a)

Reflection across y axis

b)

Reflection across x-axis

c)

180 Rotation

d)

Translation 2 units down

34.

What type of transformation is being shown?

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

35.

What type of transformation is being shown?

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

36.

What type of transformation is being shown?

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

37.

What type of transformation is being shown?

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

38.

What type of transformation is being shown?

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

39.
The two rectangles are scale drawings. What is the measurement of x?
a)
21
b)
1.25
c)
20
d)
4
40.

Determine the scale factor.

a)

0.67

b)

0.77

c)

1.27

d)

1.5

41.

The original is on the left. The image is on the right. Find the scale factor.

a)
2
b)

3

c)

3/2

d)

2/3

42.

Is it possible to make a triangle with the side lenths of 4, 8, and 12?

a)

Yes

b)

No

c)

Not enough information

d)

Too much information

43.

Which of the following would NOT work to make a triangle with the two side lengths of 2 and 6?

a)

6

b)

7

c)

5

d)

4

44.
Which set of numbers may represent the lengths of the sides of a triangle?
a)
{2,5,9}
b)
{6,6,7}
c)
{6,4,2}           
d)
{7,8,1}
45.
Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 ft, 13 ft
a)
more than 6 but less than 20
b)
more than 20 but less than 6
c)
less than 6 but more than 20
46.

Will these line segments form a triangle?

a)

yes

b)

no

47.
A 10-foot ladder is leaning against the wall.  The bottom of the ladder is 4 feet from the base of the wall.  Which of the following is closest to the distance from the top of the ladder to the base of the wall?
a)
9ft
b)
11ft
c)
6ft
d)
14ft
48.
a)
20 cm
b)
400 cm
c)
10 cm
d)
29.2 cm
49.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
50.
a)
The top of the ladder is 8.9 ft from the ground
b)
The top of the ladder is 9.2 ft from the ground
c)
The top of the ladder is 16.5 ft from the ground
d)
The top o the ladder is 14.4 ft from the ground
51.

Do the segment lengths 9, 12 and 18 form a right triangle?

a)

Yes

b)

No

52.

Which set of side lengths form a right triangle?

a)

3, 4, 7

b)

33, 56, 65

c)

66, 72, 97

d)

10, 15, 25

53.

Is this triangle a right triangle? Triangle is not drawn to scale

a)

Yes

b)

No

54.
How many total outfit options are represented?
a)
12
b)
22
c)
3
55.

Felicia has a bag of coins. The bag of contains 5 dimes, 10 nickels, and 1 penny. She will randomly select 2 coins from the bag one at a time without replacement. What is the probability that Felicia will select a dime first and then a penny?

a)

1380\frac{13}{80}

b)

716\frac{7}{16}

c)

5256\frac{5}{256}

d)

148\frac{1}{48}

56.
The sample space tree diagram for a team of three students is shown.  What is the probability that the team would consist of at least 2 girls?
a)
½
b)
⅜
c)
¾
d)
⅙
57.
Three coins are tossed.  Use the Sample Space provided. What's the probability of flipping only one tails? 
a)
⅛
b)

3/8

c)
⅓
d)
⅞
58.
Which shows the sample space for flipping two coins? 
H = heads, T = tails
a)
H, T
b)
HH, HT, TH, TT
c)
HH, TT
d)
HH, TT, TT, HH
59.

What is the sample space of the spinner?

a)

6

b)

2,4,6,8,11,15

c)

2,4,6,8,10,12

d)

2-15

60.

What is the sample space of the tree diagram below?

a)

1,2,4,4,5,6

b)

H,T

c)

1,2,3,4,5,6 & HT

d)

1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T, 6H, 6T