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LMS 8Math CPA3 Review

Total questions: 66

Worksheet time: 2hrs 21mins

Name
Class
Date
1.

Which graph shows the solution to the system below?
y=23x−2y=\frac{2}{3}x-2
y=−x+3y=-x+3

a)
b)
c)
d)
2.

Eric has already ran 5 miles and is continuing to run at a pace of 1 mile per hour.

Jess has only run 2 miles and is continuing to run at a pace of 2 miles per hour.

In how many hours will they have ran the same number of miles?

Use the equations to solve.

a)

3

b)

6

c)

9

d)

12

3.
Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?
a)
(-3,-8)
b)
(-8,-3)
c)
(3,-8)
d)
(8,3)
4.
What is the solution to this system of equations?
a)
(4, -1)
b)
(-1, 4)
c)
(-4, 1)
d)
(-4, -1)
5.

Choose the correct graph.

a)
b)
c)
d)
6.

Triangle A has a single transformation performed on it to create Triangle B. Grace says the single transformation must have been a translation 8 units to the right.

Select a single transformation that could have been performed on Triangle A to create Triangle B to prove Grace's statement is false

a)

A rotation of 180° around the point (0, 3).

b)

A reflection across the y-axis.

c)

A rotation of 180° around the point (0, 5).

d)

A reflection across the x-axis.

7.

Given the figure, which statement is true about the transformation that can verify that triangle L'M'N' is congruent to triangle LMN.

a)

Triangle L'M'N' is reflected across the x-axis.

b)

Triangle LMN is translated 11 units down.

c)

Triangle L'M'N' is translated 11 units down.

8.
Angle R and C are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
9.
a)
∠B=82°
b)
∠B=98°
c)
∠B=180°
d)
∠B=8°
10.
a)
∠I=105°
b)
∠I=75°
c)
∠I=15°
d)
∠I=5x°
11.
What is the type of correlation?
a)
Negative 
b)
no correlation
c)
positive 
12.
What type of association does this graph have?
a)
positive 
b)
negative
c)
none
d)
all of the above
13.
The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many pages would be in a book with 19 chapters. 
a)
150 pages
b)
170 pages
c)
190 pages
d)
210 pages
14.
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
15.

What is the equation of the line of best fit?

a)

y = -25x + 170

b)

y = -5/8x + 170

c)

y = 25x + 170

d)

y = 5/8x + 170

16.
What is the probability of rolling a cube and having land as an odd number?
a)
3/4
b)
1/3
c)
1/2
d)
2/5
17.
What is the probability of spinning the spinner and having it land on RED?
a)
33%
b)
50%
c)
12%
18.
a)

11 possible outcomes

b)

9 possible outcomes

c)

6 possible outcomes

d)

10 possible outcomes

19.
A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3? 
a)
1/12
b)
1/4
c)
1/8
d)
1/2
20.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
21.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
22.

What is 1/2 as a decimal?

a)

0.2

b)

0.50

c)

0.7

d)

0.20

23.
How would the decimal .03 be written as a fraction?
a)
3/10
b)
3/100
c)
1/3
d)
3/5
24.

Convert the following fraction to a decimal

9 159\ \frac{1}{5}  



(a)  

25.
a)

512

b)

527

c)

56

d)

2512

26.
a)

34

b)

3-4

c)

32

d)

332

27.
a)

42⋅5⋅7

b)

414⋅55⋅711

c)

3230

28.
a)

75

b)

76

c)

71

d)

7-1

29.
(2ab)3
a)
23a3b3
b)
2ab3
c)
6a3b3
d)
6ab
30.

-52

a)

-25

b)

25

c)

-10

d)

10

31.

1681\sqrt{\frac{16}{81}}  =

a)

49\frac{4}{9}  

b)

827\frac{8}{27}  

c)

89\frac{8}{9}  

d)

43\frac{4}{3}  

32.
Solve for x when x2 = 144
a)
4
b)
11
c)
12
d)
14
33.
Solve for x when x3 = 125
a)
5
b)
10
c)
12
d)
15
34.

The mean distance from the sun to Earth is 9.29 x 107 miles. Jupiter's mean distance from the sun is 4.8388 x 108 miles. What is the difference between these two distances in miles?

a)

4.3092 x 101

b)

3.9098 x 107

c)

3.9098 x 108

d)

5.7678 x 108

35.

There are approximately 3.1 x 108 people in the United States. If each person has 4.1 x 101 coins, how many coins are there altogether?

a)

1.271 x 1010

b)

1.271 x 109

c)

1.271 x 1011

d)

1.271 x 108

36.

A factory can make 3 × 104 t-shirts per day, how many t-shirts will it make in 2.5 ×102 days?

a)

7.5 × 106 t-shirts

b)

7.5 × 104 t-shirts

c)

75 × 105 t-shirts

d)

none of these

37.

In the year 2000, the United States public debt was about 5.6 x 1012 dollars. The population of the United States in that year was about 2.8 x 108 people. What was the average debt per person?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

38.

Identify whether the equation has one solution, no solution or infinitely many solutions:

2x + 6 = 2x + 3

a)

One solution

b)

No solution

c)

Infinitely Many Solutions

39.
Solve: 3(x-4) = -3
a)
3
b)
-3
c)
5
d)
-5
40.
Solve for x: -3(x-8)=87
a)
x=-21
b)
x=21
c)
x=37
d)
x=-37
41.
Solve for a:
2(a + 7) - 7 = 9
a)
a = -1
b)
a = 2/9
c)
a = 1
d)
a = 10
42.
Solve the equation:
½ (2x + 6) = 3x + 13
a)
no solution
b)
x = 8
c)
x = -5
d)
x = 7
43.

Identify whether the equation below has one solution, no solutions or an infinitely many solutions.


-2x + 4 + 3x = x - 4

a)

One solution

b)

No solution

c)

Infinitely many solutions

44.

Identify whether the equation below has one solution, no solutions or an infinite number of solutions.


10x - 5 = -5x - 5 + 15x

a)

One solution

b)

No solution

c)

Infinitely many solutions

45.

Solve the linear equation in one variable.


3(2x - 4) = 5x +2

a)

11

b)

12

c)

13

d)

14

46.
What is the slope of this graph?
a)
3/2
b)
-2
c)
2/3
d)
-2/3
47.

Find the slope of the line that passes through the points

(2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

48.

Which cyclist is the fastest?

a)

Cyclist A

b)

Cyclist B

c)

Cyclist C

d)

Cyclist D

49.

Which equation matches the table?

a)

y = 3x + 9

b)

y = 1/3x + 9

c)

y = x + 3

d)

y = 12x - 3

50.
A job pays $56 for 8 hours of work.  How much money does the job pay per hour?
a)
$7 per hour
b)
$8 per hour
c)
$6 per hour
d)
$7.50 per hour
51.

Which is TRUE?

a)

The triangles are congruent

b)

The slope of the larger triangle is more than the slope of the smaller triangle

c)

The slopes of the two triangles are the same

d)

The slope of the line is positive

52.

Find the slope

a)

-9/4

b)

1/2

c)

2

d)

3/2

53.

Are the triangles drawn along the line similar?

a)

yes

b)

no

54.
The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Which service is cheaper for 8 movies in one month?
a)
Beth's service ($38 vs. $40) is cheaper
b)
Nate’s service ($42 vs. $44) is cheaper
c)
Nate’s service ($38 vs. $40) is cheaper
d)
Beth's service ($42 vs. $44) is cheaper
55.
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)
56.
a)
Function
b)
Not a Function
57.
Is the relation 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 pair with it.
d)
No, because each x-value has only one y-value paired with it.
58.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
59.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function 
60.
This graph is about a car. Describe the speed of the car along C?
a)
Parked
b)
Moving at a constant speed
c)
Speed is increasing
d)
Speed is decreasing
61.
This graph represents Matthew taking his dogs out for a walk.  Along which section of the graph is Matthew moving the fastest? 
a)
A
b)
B
c)
D
d)
E
62.
Justin Beiber is cruising to his studio to pick up a microphone. Which best describes his speed along C?
a)
Stopped
b)
Heading towards the studio
c)
Heading back home 
d)
Hanging at the studio
63.
What is the type of correlation?
a)
Negative 
b)
no correlation
c)
positive 
64.
What type of association does this graph have?
a)
positive 
b)
negative
c)
none
d)
all of the above
65.

What kind of slope would the graph of the model have? Read the answers carefully.

a)

Positive

b)

Negative

c)

There's no association

d)

Positive with an outlier

66.
What is the correlation?
a)
Negative correlation
b)
No correlation
c)
Positive correlation
d)
All of the above