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Math 8 EOG Review

Total questions: 130

Worksheet time: 16hrs 46mins

Name
Class
Date
1.
Solve for x and y
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
2.
Which runner had a head start?
a)
A
b)
B
c)
C
3.
Find the volume of the cylinder.
a)
1884
b)
565
c)
471
d)
1130
4.
Simplify x-7
a)
-7
b)
-7x
c)
1/x7
d)
-1/x7
5.
Find the measure of angle 1.
a)
28o
b)
136o
c)
44o
d)
6o
6.
Identify the slope and y-intercept of the following equation:
 7x - 4y = 3
a)
m = 7
b = 3
b)
m = 4/7
b = 3
c)
m = 7/4
b = - 3/4
d)
m = 3/4
b = 7
7.
solve for c
a)
7
b)
9
c)
4
d)
13
8.
For the function f(x) = -3x + 3 find f(0).
a)
0
b)
-3
c)
3
d)
-1
9.
Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.
a)
320.4 in3
b)
314 in3
c)
205.5 in3
d)
267.4 in3
10.
Name the transformation.
a)
Translation
b)
Reflection
c)
Rotation
11.
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
12.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
13.
Multiply:
(3.4 x 105)(1.2 x 10-3)
a)
4.08 x 10-8
b)
4.8 x 102
c)
4.08 x 102
d)
4.08 x 10-15
14.
What type of association does this graph have?
a)
positive
b)
negative
c)
none
d)
all of the above
15.
As x increases, y decreases.
a)
no correlation
b)
negative correlation
c)
correlation coefficient
d)
positive correlation
16.
What is the rate of change for the following graph?
a)
80
b)
20
c)
40
d)
160
17.
Find the rate of change.
a)
4 burgers per person
b)
6 burgers per person
c)
2 burgers per person
d)
2 people per burger
18.
A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change? 
a)
200
b)
150
c)
300
d)
75
19.
What is Mrs. Gordon's rate from 0 to 2 seconds?
a)
2.5 feet per second
b)
.4 feet per second
c)
5 feet per second
d)
.2 feet per second
20.
What is the initial value?
a)
0
b)
1
c)
8
d)
10
21.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$100 is earned for every 2 hours worked
c)
$500 is earned for every 8 hours worked
d)
$200 is earned for every 3 hours worked
22.
What is the initial value?
a)
1
b)
2
c)
9
d)
11
23.
Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation.
a)
y = 4x + 1.50
b)
y = 1.50x + 4
24.
What is the solution to the system of equations? 
y = 3x - 8
y = 4 - x
a)
(3,1)
b)
(1,3)
c)
(-3,1)
d)
(3,-1)
25.
Find the volume of the cylinder.
a)
282.6
b)
516.2
c)
133
d)
214
26.
Rewrite using a positive exponent.
g-7
a)
1/g7
b)
g7
c)
1/g-7
d)
-g7
27.
Solve for  y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
28.
What is the slope?
y = 3x + 1
a)
m = 3
b)
m = 3x
c)
m = 1
d)
m = 4
29.
Solve for x and y
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
30.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
31.
Given f(x) = -4x - 10 and f(x) = 10. Find x
a)
x = -5
b)
x = 5
c)
x = -50
d)
x = 30
32.
Find the volume to the nearest whole number using 3.14 instead of Pi.
a)
151 ft3
b)
152 ft3
c)
150 ft3
d)
150.72 ft3
33.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
34.
Translation are always _______
a)
Congruent
b)
Bigger
c)
Smaller
d)
Rotated
35.
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
36.
Divide:
(6.9 x 107) / (2.3 x 10-3)
a)
3 x 1010
b)
3 x 104
c)
3 x 10-4
d)
3 x 10-11
37.
The following scatter plot shows Pam's training as she prepares to run a 6 mile race at the end of the month.  Which of the following would be a reasonable approximation for the length of time it would take for her to run 6 miles? 
a)
A. 50 min
b)
B. 80 min
c)
C. 45 min
d)
D. 60 min
38.
Based on the graph, if Joe earned $400, how many hours did he work?
a)
25 hours
b)
35 hours
c)
45 hours
d)
15 hours
39.
Find the rate of change.
a)
-2 minutes per gallon
b)
-20 minutes per gallon
c)
-2 gallons per minute
d)
-20 gallons per minute
40.
a)
Taylor can write 6 words per minute
b)
Taylor can write 25 words per minute
c)
Taylor can write 50 words per minute
d)
Taylor can write 150 words per minute
41.
At what rate did the rain fall?
a)
2 cm per hour
b)
1/4 cm per hour
c)
1/2 cm per hour
d)
4 cm per hour
42.
Given the equation y = 2x + 5 , where x is the number of homework questions and y is the number of minutes it takes to do all the homework, what does the y-intercept of the line mean in real world context.
a)
For every homework assignment, it takes 5 more minutes to complete.
b)
For every homework assignment, it takes 2 more minutes to complete.
c)
It initially takes 5 minutes to get homework out and start working.
d)
It initially takes 2 minutes to get homework out and start working.
43.
Craig earns extra money as a lifeguard. He earns $37 for 4 hours and $64.75 for 7 hours.  What is the unit rate (how much did he make per hour)?
a)
$37
b)
$64.75
c)
$9.25
d)
$18.50
44.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
45.
Determine the slope and y-intercept from the following equation:   y = 3/2x + 3
a)
slope: 5   y-intercept:  (0,3) 
b)
slope: 3/2   y-intercept:  (0,3) 
c)
slope:  4  y-intercept:  (0,3/2)
d)
slope: 1/5   y-intercept:  (0,5) 
46.
Randy charges his tenants $400 each month to rent his houses plus $600 security deposit. In the new year, the property taxes increased on the area where he rents so as a result he must increase the rate of change by $25 to ensure his profits are not harmed. What equation best represents how much his tenants will now have to pay? 
a)
y = 425x + 600
b)
y = 425 + 600x
c)
y = 400x + 625
d)
y = 400 + 625x
47.
What is the value of x?
a)
-6
b)
22
c)
16
d)
21
48.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
49.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
50.
When you translate, (x,y+6) will move _____.
a)
6 units right
b)
6 units left
c)
6 units up
d)
6 units down
51.
How would you write 4.3756 x 104 in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
52.
Find the slope from the graph
a)
0
b)
undefined
c)
5
d)
-5
53.
Jimmy was going on vacation. His parents drove the first day and went 390 miles in 6 hours. The next day they drove for 8 hours and went 520 miles. What was their constant rate of speed?
a)
65 miles per hour
b)
60 miles per hour
c)
40 miles per hour
d)
50 miles per hour
54.
What is the initial value?
a)
-3
b)
0
c)
3
d)
20
55.
What is the initial value?
a)
0
b)
2
c)
2.6
d)
5.2
56.
 In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.
a)
y = 20x + 5
b)
y = 5x +20
57.
An airplane 30,000 feet above the ground begins descending at a rate of 2,000 feet per minute.  Find an equation in slope intercept form.  Then, use your equation to find the altitude of the plane after 5 minutes.
a)
20,000 feet after 5 minutes
b)
40,000 feet after 5 minutes
c)
148,000 feet after 5 minutes
58.
Which of these represents slope-intercept form?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
59.
The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Find the equation for 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
60.
Which of the following situations
corresponds to this graph?
a)
A car, accelerates from a stop,travels at a constant speed, slows,
and then travels at a slower speed.
b)
An airplane travels at a constant
speed then decelerates to a slower speed.
c)
An athlete warms up by walking
around the track, runs, then jogs.
d)
A bicyclist accelerates, travels at a
constant speed, then slows to a
stop.
61.
Which of the following situations
corresponds to this graph? 
a)
A bicyclist accelerates from a stop, travels at a constant speed, then slows to a stop.
b)
A car accelerates from a stop,
travels at a constant speed, slows,
and then travels at a slower speed.
62.
Amber's savings account had a balance of $350 rolled over from the previous year. She set it up for $50 to be drafted out of her checking account and into her savings account every month. What information in this problem represents the y-intercept?
a)
350
b)
50
c)
-50
d)
-350
63.
Find the PERIMETER of this figure.
a)
20 square feet
b)
20 cm
c)
25 square feet
d)
20 cm sq.
64.
Farmer Bob's son built a track to walk his pet pig.  The track goes around the pig pen.  The pig pen is 15 feet long and 21 feet wide.  If the pig walks all the way around the track, how many feet did he walk?
a)
72 feet
b)
36 feet
c)
36 square feet
65.
Area
a)
18 sq cm
b)
81 sq cm
c)
80 sq cm
d)
72 sq cm
66.
Alycia earned $20.40 in 3 hours. What is her unit rate in dollars per hour?
a)
$7 per hour
b)
$6 per hour
c)
$6.80 per hour
d)
$17.40 per hour
67.
Which point is 7/8?
a)
Point C
b)
Point D
c)
Point E
d)
Point F
68.
The quarterback had a 10-yard loss and then a 25-yard gain.  Which integer represents a 25-yard gain?
a)
-25
b)
-10
c)
25
d)
10
69.
The elevation of the Dead Sea is about 1,310 feet below sea level.  Which integer represents this elevation?
a)
-1,310
b)
-131
c)
131
d)
1,310
70.
Which set of integers is written in order from GREATEST to LEAST?
a)
-3, -9, -6
b)
-3, 2, 5
c)
2, -1, -3
d)
4, 10, 12
71.
Combine Terms
3x - 2x + 6x =
a)
7x
b)
6x
c)
x + 6x
d)
7x2
72.
n -10 +9n -3=
a)
-3
b)
9n-3
c)
n
d)
10n -13
73.
Simplify the following expression by combining like terms:
x(3x + 4) + 2x
a)
6x + 4
b)
3x2 + 6x
c)
3x2 + 2x + 4
d)
9x2
74.
What is the solution of the equation? 
8 = x + 1
a)
9
b)
7
c)
6
d)
8
75.
Solve the equation: 
x + 7 = 12
a)
x = 5
b)
x = 19
c)
x = 4
d)
x = 84
76.
Solve the equation:
4p = 16
a)
p = 12
b)
p = 64
c)
p = 3
d)
p = 4
77.
y - 33 = 147
a)
y = 114
b)
y = 177
c)
y = 180
d)
Answer not Given
78.
At the beginning of the week, the temperature was 14 degrees Fahrenheit. During the week, it decreased by 25 degrees Fahrenheit. What was the temperature by the end of the week?
a)
39 degrees F
b)
11 degrees F
c)
-11 degrees F
d)
-39 degrees F
79.
1. Patrick washes 21 cars per day. He is paid at a rate of $7.50 for every 3 cars he washes. How much is Patrick paid for each car he washes?
a)
$2.50
b)
$4.50
c)
$22.50
$22.50
d)
$52.50
80.
10. Kim is traveling by train. It takes 2 hours to travel a distance of 180 miles. At this rate, how many miles will Kim travel in 4 hours?
a)
90
b)
180
c)
360
d)
540
81.

What is the value of x?

a)

15

b)

26.25

c)

-15

82.
a)

-4

b)

-4/15

c)

4/15

d)

4

83.

a)

-2

b)

2

c)

-1/2

d)

1/2

84.

a)

-2

b)

-38/31

c)

2

85.

a)

The initial value of the car is $14,000

b)

The average value of the car is $14,000

c)

The car's value decreases by $875 each year after it was purchased.

d)

The car's value decreases by $16 each year after it was purchased.

86.

In which choice is y a function of x?

a)
b)
c)
d)
87.
a)

56 miles

b)

54 miles

c)

36 miles

d)

24 miles

88.

Which statement correctly describes the rate of change between hours studied and corresponding test scores of the two students?

a)

Jake's test scores increased by 1 point more than Howie's test scores for each hour studied.

b)

Jake's test scores increased by 3 points more than Howie's test scores for each hour studied.

c)

Howie's test scores increased by 1 point more than Jake's test scores each hour studied.

d)

Howie's test scores increased by 3 points more than Jake's test scores for each hour studied.

89.

What is the length of the dotted line, to the nearest inch?

a)

10 inches

b)

11 inches

c)

12 inches

d)

13 inches

90.
a)

y=4x+3y=4x+3

b)

y=14x+3y=\frac{1}{4}x+3

c)

y=2−4xy=2-4x

d)

y=2−14xy=2-\frac{1}{4}x

91.

a)

(2,10)

b)

(3,6)

c)

(4,7)

d)

(5,8)

92.

In which set of points is y a function of x?

a)

{(2, 4), (4, 16), (5, 25), (6, 36)}

b)

{(4, 2), (4, -2), (516, 4), (16, -4)}

c)

{(2, 1), (2, 0), (1, -1), (3, 1)}

d)

{(2, 3), (1, 3), (0, 3), (0, 2)}

93.

Which could be the coordinates of the third vertex, Z, of triangle XYZ so that it would have a hypotenuse with a length of square root of 45 units?

a)

(-1, 5)

b)

(-1, -1)

c)

(6, -1)

d)

(8, 5)

94.
a)

7 units

b)

9 units

c)

11 units

d)

13 units

95.

a)

(-5, 3)

b)

(-3, -5)

c)

(5, -3)

d)

(5, 3)

96.

a)

L'(-6, -8), M'(6, 8), N'(6, 1)

b)

L'(-3, 2), M'(3, 2), N'(3, 0.5)

c)

L'(-1.5, 2), M'(1.5, 2), N'(1.5, 0.5)

d)

L'(-1, 2), M'(1, 2), N'(1, 1)

97.

A cylindrical barrel has a height of 8 feet and a diameter of 6 feet. What is the approximate volume of the barrel?

a)

151 cubic feet

b)

226 cubic feet

c)

603 cubic feet

d)

905 cubic feet

98.
a)

10.0 units

b)

9.5 units

c)

9.0 units

d)

8.5 units

99.

a)

5.0 cm

b)

10.2 cm

c)

15.3 cm

d)

21.0 cm

100.

a)

125

b)

45

c)

25

101.

What is the equation for this line in slope-intercept form?

a)

y = 3x + 1

b)

y = 1/3x + 1

c)

y = 3x + 3

d)

y = 1/3x + 3

102.

The cylinder and cone shown below have the same radius and volume. The cylinder has a height of 12 inches. What is the height of the cone?

a)

18 inches

b)

24 inches

c)

36 inches

d)

42 inches

103.

Select the relation that IS a function.

a)

A

b)

B

c)

C

d)

D

104.

Which of the following equations would have infinite solutions?


A. -28 = -7(3x + 4) + 21x

B. –(-4x + 7) = -2 + 4x

C. 8(k – 6) + 58 = 2(4k + 5)

D. -21 – 8a = -1 + 6(4 – 5a)

a)

A and C

b)

B and D

c)

A and B

d)

C and D

105.

The average goose feather weighs 0.00125 pounds. How would this weight be expressed in scientific notation?

a)

A

b)

B

c)

C

d)

D

106.

Which table does not show a linear function?

a)

A

b)

B

c)

C

d)

D

107.

What transformation was used to transform triangle ABC to triangle A'B'C'?

a)

180 degree rotation

b)

reflection across the x-axis

c)

90 degree rotation clock-wise

d)

90 degree rotation counter clock-wise

108.

Calculate the perimeter of triangle ABC?

a)

10 units

b)

20 units

c)

24 units

d)

36 units

109.

Which equation could be used to represent the table below?

a)

A

b)

B

c)

C

d)

D

110.

The equations y = -1⅔x + 3 and y = ⅓x – 3 are graphed on the coordinate plane below. What is the solution to these equations?

a)

A

b)

B

c)

C

d)

D

111.

Cassandra and Samantha both babysit on weekends for extra money and charge an hourly rate. The equation y = 7x shows the total charge y in dollars for hiring Cassandra to babysit for x hours . The table below shows the same information for Samantha.

a)

Cassandra's hourly rate is $2.00 cheaper.

b)

Cassandra's hourly rate is $0.50 cheaper.

c)

Samantha's hourly rate is $0.50 cheaper.

d)

Samantha and Cassandra will babysit for the same rate.

112.
a)

A

b)

B

c)

C

d)

D

113.
a)

A

b)

B

c)

C

d)

D

114.
a)

A

b)

B

c)

C

d)

D

115.
a)

A

b)

B

c)

C

d)

D

116.

a)

A

b)

B

c)

C

d)

D

117.

a)

A

b)

B

c)

C

d)

D

118.

a)

A

b)

B

c)

C

d)

D

119.

a)

A

b)

B

c)

C

d)

D

120.

a)

A

b)

B

c)

C

d)

D

121.



(a)  

122.

a)

A

b)

B

c)

C

d)

D

123.

a)

A

b)

B

c)

C

d)

D

124.

a)

A

b)

B

c)

C

d)

D

125.

a)

A

b)

B

c)

C

d)

D

126.

a)

A

b)

B

c)

C

d)

D

127.

a)

A

b)

B

c)

C

d)

D

128.

a)

A

b)

B

c)

C

d)

D

129.

a)

A

b)

B

c)

C

d)

D

130.

a)

A

b)

B

c)

C

d)

D

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