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GMAS Review - 8th Grade Math

Total questions: 100

Worksheet time: 5hrs 0mins

Name
Class
Date
1.
What is this? 
a)
Linear function
b)
Nonlinear function
c)
Linear, but not a function
d)
Nonlinear and not a function
2.
What is this? 
a)
Linear function
b)
Nonlinear function
c)
Linear, but not a function
d)
Nonlinear and not a function
3.
What is this? 
a)
Linear function
b)
Nonlinear function
c)
Linear, but not a function
d)
Nonlinear and not a function
4.
You do lawn work for $13 an hour, but charge a $7.5 transportation cost. What rule represents your business model? 
a)
y=13x - 7.5
b)
y=13x + 7.5
c)
y=20.5x 
d)
y=7.5x + 13
5.
A dog walker earns $10 plus $3 per dog. What equation represents this model? 
a)
y=3x + 10
b)
y=10x + 3
c)
y=13x
d)
y=10x - 3
6.
What variable represents rate of change? 
a)
M 
b)
B
c)
X 
d)
y
7.
What variable represents initial value? 
a)
M 
b)
B
c)
X 
d)
y
8.
Which equation has the smallest rate of change? 
a)
y=3x + 3
b)
y=-3x + 3
c)
y=(1/3)(x)
d)
y=3x
9.
What is the rate of change of this table? 
a)
None- it's not linear
b)
-1
c)
1
d)
1/2
10.
What is the initial value of this table? 
a)
None- it's not linear
b)
-1
c)
1
d)
2
11.
Which line has the largest initial value?
a)
Blue
b)
Red
c)
Green
d)
Pink
12.
Which line has the largest rate of change?
a)
Blue
b)
Red
c)
Green
d)
Pink
13.
Which line has a rate of change equal to 0?
a)
Blue
b)
Red
c)
Green
d)
Pink
14.
What is the initial value? 
a)
100
b)
75
c)
-5/4
d)
20
15.
Determine whether the relation is a function?
a)
Yes
b)
No
16.
Determine whether the relation is a function.
a)
Yes
b)
No
17.
Choose the best situation for the graph.
a)
A car is moving at a constant speed for several minutes. When it approaches a red light, it slows down and comes to a stop.
b)
A plant grows steadily and then has a growth spurt during the rainy season. It remains the same height for a while and then grows steadily again.
c)
A family buys a fish tank and some fish. After two weeks, they buy some more fish. After two more weeks, they buy even more fish.
d)
 A monkey swings from a high branch to a lower branch. He climbs along the branch. Then he jumps to a higher branch and takes a nap.
18.
a)
Function
b)
Not a Function
19.
a)
Function
b)
Not a Function
20.

Solve the following equation for y.

y - 3y + 6 = -8

a)

-7

b)

7

c)

-1

d)

0

21.

Solve the following linear equation.

.64x - .15x + .08 = .09x

a)

There is no solution.

b)

x = -5

c)

x = 5.125

d)

x = -.02

22.

Consider this system of equations.

y = –2x – 1

y = ½x + 4


Which graph represents the solution of the system?

a)
b)
c)
d)
23.

Solve for the variable x in the following equation:
3x=123x=12  

a)

x=9x=9  

b)

x=3x=3  

c)

x=15x=15  

d)

x=4x=4  

24.

Solve for the variable x in the following equation:
x−1.7=2.5x-1.7=2.5  

a)

x=0.8x=0.8  

b)

x=1.2x=1.2  

c)

x=4.2x=4.2  

d)

x=3.2x=3.2  

25.

Solve for the variable y in the following equation:

3y − 5 − 5y = 3

a)

y = -2

b)

y = -3

c)

y = -4

d)

y = -5

26.

Solve for the variable x in the following equation:


3(x-6)+2x=22

a)

x=8

b)

x=2

c)

x=18

d)

x=3

27.

Solve for the variable t in the following equation:


2(t + 6) + 3 = 9 + 5t

a)

t = 16

b)

t = 2

c)

t = -8

d)

t = -10

28.

Solve for the variable w in the following equation:


12 + 6w - 7w = 3w - 2w

a)

w = 6

b)

w = -16

c)

w = -5

d)

w = 4

29.

10x + 9 = 4x - 9

a)

x = 0

b)

x = 3

c)

x = -3

d)

x = -18

30.

6x + 10 = 2(3x + 4)

a)

x = 0

b)

x = 2

c)

No solutions

d)

Infinite solutions

31.

4(6k - 12) = 3(8k - 16)

a)

x = 3

b)

x = -3

c)

no solutions

d)

infinite solutions

32.

Solve for the variable y in the equation:

2x + 2y = 6

a)

y = - x + 3

b)

y = x + 3

c)

y = 2x +6

d)

y = - 2x + 6

33.

Solve for the variable x, for the following equation:

3(2x+4y)−4=83(2x+4y)-4=8  

a)

x=2+4yx=2+4y  

b)

x=2+2yx=2+2y  

c)

x=2−4yx=2-4y  

d)

x=2−2yx=2-2y  

34.

Solve for the variable the variable H in the formula:

V=LWHV=LWH  
(Formula for the volume of a prism)

a)

H=V−LWH=V-LW  

b)

H=VLWH=VLW  

c)

H=LWVH=\frac{LW}{V}  

d)

H=VLWH=\frac{V}{LW}  

35.
Convert the following decimal to a fraction:
0.272727...
a)
27/90
b)
27/99
c)
25/90
d)
20/90
36.
What is the value of 1000?
a)
1
b)
0
c)
100
37.
Which is equivalent to 34
a)
27
b)
9
c)
81
d)
12
38.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
39.
Triangle JKL is shown below. What is the approximate length of line segment JK?
a)
5
b)
4
c)
3
d)
2
40.
Side a on a right triangle is ALWAYS the longest side.
a)
True
b)
False
41.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
42.
What is the solution?
a)
No solution
b)
(0, 2)
c)
(0, -4)
d)
(3, -3)
43.
What is the solution to this system of equations?
a)
(4, -1)
b)
(-1, 4)
c)
(-4, 1)
d)
(-4, -1)
44.
What is the slope of the linear equation:
y = -5x + 6?
a)
1/5
b)
6
c)
-5x
d)
-5
45.
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
46.
Find the slope:
a)
3/4
b)
4/3
c)
-3/4
d)
-4/3
47.

Which linear equation has a slope of -3 and a y-intercept of (0,4)?

a)

y = 3x - 4

b)

y = -3x + 4

c)

y = 4x - 3

d)

y = -4x + 3

48.
-2(x+2) < 14
a)
x < - 5
b)
x > -5
c)
x < -9
d)
x > -9
49.
Write an inequality for the situation:
George rented a bike for 4 hours. There was a $10 dollar deposit to pay in addition to the hourly rate. What was the hourly rate if the total came to less than or equal to $65?
a)
10x + 65 ≥ 40
b)
4x + 10 ≤ 65
c)
4x - 10 ≤ 65
d)
65 + 4x ≥ 40
50.
Which situation can be represented by the inequality
15 + 6x ≤ 100?
a)
Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
b)
Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
c)
Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
d)
Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
51.
How do you find the volume of a cylinder?
a)
V= 1/3 πr2h
b)
V= 4/3 πr2h
c)
V= 4/3 πr3
d)
V= πr2h
52.
How do you find the volume of a cone?
a)
V= 1/3 πr2h
b)
V= 4/3 πr2h
c)
V= 4/3 πr3
d)
V= πr2h
53.
How do you find the volume of a sphere?
a)
V= 1/3 πr2h
b)
V= 4/3 πr2h
c)
V= 4/3 πr3
d)
V= πr2h
54.
Which figure has a volume of 45π ft3?
a)
Cylinder with a height of 5ft and diameter of 6 ft
b)
Sphere with a radius of 3 ft
c)
Cone with a radius of 3 feet and height of 5 ft
d)
Sphere with a diameter of 5 feet
55.
The figure shown below is composed of a rectangular prism and two half cylinders. Which is closest to the volume of the figure?
a)
781 cm3
b)
706 cm3
c)
631 cm3
d)
593 cm3
56.
A table tennis ball has a diameter of 40 mm. What is the approximate volume of the table tennis ball in cubic millimeters?
a)
1,676 mm3
b)
18,850 mm3
c)
33,510.3 mm3
d)
268,083 mm3
57.
Russell is filling a cylinder-shaped swimming pool that has a diameter of 20 feet. He fills it with water to a depth of 3 feet. What is the volume of the water in the pool, to the nearest cubic foot?
a)
377 cubic feet
b)
942 cubic feet
c)
2,958 cubic feet
d)
3,768  cubic feet
58.
The dimensions of grain storage bins in the shape of a cylinder and a rectangular prism are shown. Which measurement is closest to the difference between the volumes of the 2 bins?
a)
24,280 cubic feet
b)
16,430 cubic feet
c)
11,720 cubic feet
d)
4,480 cubic feet
59.
Kayla has two spherical balls in her yard (see picture).Which statement about their volumes is true?
a)
The volume of Ball 2 is twice the volume of Ball 1.
b)
The volume of Ball 1 is 8 times the volume of Ball 2.
c)
The volume of Ball 1 is twice the volume of Ball 2.
d)
The volume of Ball 2 is 8 times the volume of Ball 1.
60.
A rancher wants to cut a metal cylinder in half to use as a watering trough as shown.
If the cylinder has a diameter of 5 feet and a length of 9 feet, which value is closest to the volume of the trough in cubic feet? Use π = 3.14.
a)
176.6 ft3
b)
141.3 ft3
c)
88.3 ft3
d)
70.7 ft3
61.
A solid cone was placed in the center of a rectangular fish tank as shown. Which is closest to the maximum amount of water that the fish tank can hold?
a)
1286 in3
b)
1455 in3
c)
1476 in3
d)
1569 in3
62.
Jack is making 4 cylindrical wax candles. If he plans to make candles with a diameter of 7 cm and a height of 12 cm, approximately how many cubic centimeters of wax will Jack need to make the candles?
a)
7,389 cm3
b)
6,333 cm3
c)
3,167 cm3
d)
1,847 cm3
63.
A cone has a height of 30 in. and a diameter of 20 in. What is the approximate volume of the cone?
a)
600 in3
b)
1,885 in3
c)
3,140 in3
d)
12,566 in3
64.
Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?
a)
21 cubic inches
b)
63 cubic inches
c)
66 cubic inches
d)
198 cubic inches
65.
A large sphere at an amusement park is 165 feet in diameter. Which of the following is closest to the volume, in cubic feet, of the sphere? Use π=3.14.
a)
261,000
b)
2,351,000
c)
18,810,000
d)
41,210,000
66.

Level 1

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

67.

Level 1

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

15.7

e)

None of them

68.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

69.

Level 3

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

70.

Level 4

Solve for x.

a)

38.9

b)

40.2

c)

45.6

d)

54

71.
An airplane flies 56 miles due north and then 33 miles due east. How many miles is the plane from its starting point?
a)
65 miles
b)
89 miles
c)
45.4 miles
d)
We don't have enough information.
72.
A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?
a)
7.5 in
b)
12.4 in
c)
13.6 in 
d)
14.3 in
73.

In a right triangle, if a = 8 and c = 17, what is the correct setup to find the value of b?

a)

172+82=b217^2+8^2=b^2

b)

82+b2=1728^2+b^2=17^2

c)

172+b2=8217^2+b^2=8^2

d)

82b2=172100\frac{8^2}{b^2}=\frac{17^2}{100}

74.
The longest side of a right triangle is DIRECTLY ACROSS from the...
a)
right angle.
b)
acute angle.
c)
obtuse angle.
75.
What is the final step in solving this work for c?
a2 + b2 = c2
32 + 42 = c2
9 + 16 = c2
25 = c2
a)
Divide both sides by 2
b)
Take the square root of both sides
76.

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

a)

8 feet

b)

5.29 feet

c)

10 feet

d)

14 feet

77.

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

a)

12 feet

b)

13.9 feet

78.

A baseball "diamond" is actually a square with sides of 90 feet. If a runner tries to steal second base, how far must the catcher, at home plate, throw to get the runner "out"? (Distance across the diagonal)

a)

180 feet

b)

90 feet

c)

13.4 feet

d)

127.3 feet

79.

During a football play, Odell Beckham Jr. runs a straight route 40 yards up the sideline before turning around and catching a pass thrown by Eli Manning. On the opposing team, a defender who started 20 yards across the field from Beckham saw the play setup and ran a slant towards Beckham. What was the distance the defender had to run to get to the spot where Beckham caught the ball?

a)

34.6 yards

b)

44.7 yards

c)

60 yards

d)

40 yards

80.

How far from the base of a house do you need to place a 15' ladder so that is exactly reaches the top of a 12' wall?

a)

9 feet

b)

19.2 feet

c)

81 feet

d)

369 feet

81.

What type of slope is shown?

a)

positive

b)

negative

c)

zero

d)

undefined

82.

What type of slope is shown?

a)

positive

b)

negative

c)

zero

d)

undefined

83.

What type of slope is shown?

a)

positive

b)

negative

c)

zero

d)

undefined

84.

What type of slope is shown?

a)

positive

b)

negative

c)

zero

d)

undefined

85.

What is the slope-intercept form of a line?

a)

Ax + By = C

b)

y = mx + b

c)

y - y1 = m(x - x1)

d)

y = Ax + By

86.

What is the slope of this graph?

a)

m=−12m=-\frac{1}{2}  

b)

m=12m=\frac{1}{2}  

c)

m=2m=2  

d)

m=−2m=-2  

87.

What is the y-intercept of this graph?

a)

b = 4

b)

b = -4

c)

b = -2

d)

b = 2

88.

Identify the correct equation for the graph shown.

a)
y = 5x - 3
b)
y = 4x + 2
c)
y =-2x + 5
d)

y = -2x + 4

89.

Identify the correct equation for the graph shown.

a)
y = -1/3x - 2
b)
y = 1/3x - 2
c)
y = 3x - 2
d)
y = -3x - 2
90.
Which is the graph of y=-x+2?
a)
A
b)
B
c)
C
d)
D
91.

Identify the correct slope for the table shown.

a)

m = 10

b)

m = 5

c)

m = 5/2

d)

m = 2

92.

Identify the correct y-intercept shown on this table.

a)

b = 5

b)

b = 0

c)

b = 10

d)

b = 2

93.

Based on the table, write the equation in slope intercept form.

a)

y= 5x+5

b)

y=1/5x+5

c)

y=15x+5

d)

y=10x+5

94.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
95.
The point where the line crosses the y-axis is called the:
a)
origin
b)
x-intercept
c)
y-intercept
d)
slope
96.

Jackson started with $800 in his savings account, but has to pay $30 a month for his electricity bill. Write an equation that relates his savings, y, to the amount of months, x.

a)

y = -30x + 800

b)

y = 30x - 800

c)

y = -30x

d)

y = 12x - 30

97.

Stephanie owes her mom $80 for a recent trip to the mall. She plans to payback $15 a month until it is paid back. Write an equation in slope-intercept form that relates the amount she owes, y, to the amount of months, x.

a)

y = 15x - 80

b)

y = 15x + 80

c)

y = -15x + 80

d)

y = -15x - 80

98.
Find the slope of the line that passes through:
(-3, -4) and (7, 6)
a)
0
b)
Undefined
c)
-1
d)
1
99.
Find the slope of the line that passes through:
(6,7) and (4,2)
a)
2/5
b)
-5/2
c)
5/2
d)
-1/2
100.

Is this table proportional or non-proportional?

a)

non-proportional

b)

proportional

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