WorksheetsGABTA YouthBuild Math: GED Math Practice Test 2nd Half
Total questions: 100
Worksheet time: 3hrs 41mins
Name
Class
Date
1.
(x3- 4)(x2 +2x -1) =
a)
x6 - x3 - 4x2 - 6x + 4
b)
x5 - 4x2 + 8x4 - 8x - 4
c)
x5 + 2x4 - x3 - 4x2 - 8x + 4
d)
x6 + 2x4 + x3 - 8x - 4
2.
Factor the following equation: x2 - 7x +12
a)
(x + 3)(x + 4)
b)
(x - 3)(x + 4)
c)
(x - 3)(x - 4)
d)
(x + 3)( x - 4)
3.
What is the greatest common factor in 3x2 + 9?
a)
x
b)
9
c)
x2
d)
3
4.
Find the greatest common factor in 10x3 + 14x2.
a)
10
b)
x2
c)
x3
d)
14
e)
2x2
5.
Solve for x: x - 7 = 10
a)
-3
b)
-17
c)
3
d)
10
e)
17
6.
Solve for x: 2x - 5 = 11
a)
7
b)
10
c)
8
d)
-5
e)
16
7.
4x - 9 = 5x + 1
a)
10
b)
5
c)
6
d)
-10
e)
-8
8.
Parallel Lines never intersect because...
a)
they have the same slopes.
b)
they have the same y-intercept.
c)
they have different slopes.
d)
they have different y-intercepts.
9.
What is the solution to the system?
a)
(3, -1)
b)
(2, -6)
c)
No Solution
d)
(6, -2)
10.
Solve this system of equations
3x - y = 13
5x + 2y = 18
a)
(1, 4)
b)
(-1, 4)
c)
(4, -1)
d)
(-4, 1)
e)
(-1, -4)
11.
Solve this system of equations.
3a + 4b = -18
2a + 6b = -32
a)
b = -6, a = 2
b)
b = 2, a = -6
c)
b = 6, a=-2
d)
b=-6, a= -2
12.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
13.
What letter is at (7, -6)?
a)
D
b)
L
c)
X
d)
There is no letter at those coordinates.
14.
What letter is at (1,-7 )
a)
There is no letter at those coordinates.
b)
B
c)
C
d)
K
15.
What letter is at (3, 8)
a)
There is no letter at those coordinates.
b)
W
c)
R
d)
E
16.
Which equation matches the graph?
a)
y = 2x
b)
y = 1/4 x + 2
c)
y = 1x + 4
d)
y = 2x - 3
17.
Consider the equation:
y = -5x + 4
Identify the slope and y-intercept.
y = -5x + 4
Identify the slope and y-intercept.
a)
m=4, b=x
b)
m=-5x, b=4
c)
m=5, b=4
d)
m=-5, b=4
18.
Describe the slope of the line.
a)
negative slope
b)
0 slope
c)
positive slope
d)
undefined slope
19.
What is the slope?
a)
-1/3
b)
-3
c)
-4
d)
5
20.
a)
y = -1/3x - 1
b)
y = 1/3x - 1
c)
y = -3x + 1
d)
y = -1/3x + 1
21.
a)
y = x - 3
b)
y = -x - 3
c)
y = -x + 3
d)
y = x + 3
22.
a)
y = 2x
b)
x = 2
c)
y = 2
d)
y = -2
23.
a)
y = -3
b)
y = -3x
c)
x = -3
d)
x = 3
24.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
25.
Which runner was faster?
a)
Runner A
b)
Runner B
26.
Find the slope from the table.
a)
-4
b)
1
c)
4
d)
-2
27.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
28.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
29.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
30.
Which of the following passes through (3, 7) and (1, -3)?
a)
y = 5x - 8
b)
5x + y - 22 = 0
c)
y = 2x + 1
d)
2x + y - 13 = 0
31.
Find the equation of the line which passes through (3, 4) and (5, 4).
a)
x - 4 = 0
b)
y + 4 = 0
c)
y - 4 = 0
d)
x + 4 = 0
32.
Write an equation
m = 5 through (-1, -3)
m = 5 through (-1, -3)
a)
y = 5x + 2
b)
y = -5x - 5
c)
y = -5x + 2
d)
y = 2x - 5
33.
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.
34.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
35.
a)
Function
b)
Not a Function
36.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
37.
Is this table a function or not a function?
a)
Function
b)
Not a Function
38.
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)
39.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
40.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
41.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
42.
f(x)=2x+1
If f(x)=4, what is the value of x?
If f(x)=4, what is the value of x?
a)
3/2
b)
2
c)
1/2
d)
4
43.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
44.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
45.
The initial weight of a container is 6.2 pounds. As water is added to the container, the weight increases at a rate of 0.6 pounds per minute. Which function models the weight of the container as a function of time?
a)
f(t)=0.6t+6.2
b)
f(t)=t+6.8
c)
f(t)=6.2-0.6t
d)
f(t)=6.2t+0.6
46.
The trade-in value, V, of a certain model of automobile can be determined using the function V(x)=25000-0.25x, where x is the mileage. Which of the following statements is the best interpretation of the slope?
a)
The value of the car increases as the mileage increases.
b)
The selling price of the car when it is new is $25,000.
c)
The trade-in value of the car decreases $4 for every additional mile driven.
d)
The trade-in value of the car decreases $1 for every additional 4 miles driven.
47.
What is the range of this function?
a)
(150, 275)
b)
[150, 275]
c)
[220, 265]
d)
(220, 265)
48.
On a car trip, Theresa kept a record of her gas mileage. She discovered that for every 23 miles, she used 1 gallon of gas. Which of the following equations model this situation?
a)
x=y+23
b)
x=23y
c)
y=x+23
d)
y=23x
49.
If f(x)=3x-1 and g(x)=2x2-3, what is the value of f(2)+g(3)?
a)
5
b)
13
c)
20
d)
38
50.
A frozen yogurt store charges based on how many ounces of yogurt, y, a customer puts in their cup. They also charge a flat price for unlimited toppings. The function for the cost of a cup of yogurt with toppings is f(y)=0.37y+1.50. What does the function indicate?
a)
Each ounce of yogurt decreases the cost by $0.37.
b)
Each ounce of yogurt increases the cost by $0.37.
c)
Each ounce of yogurt decreases the cost by $1.50.
d)
Each ounce of yogurt increases the cost by $1.50.
51.
Is this table a function or not a function?
a)
Function
b)
Not a Function
52.
Is this table a function or not a function?
a)
Function
b)
Not a function
53.
Which ordered pair could you add to the following list of points to create a function? (3, 5) (4, 9) (2, 5)
a)
(3, 7)
b)
(4, 1)
c)
(1, 9)
d)
(2, 6)
54.
For the function f(x) = -3(x-1) find f(0).
a)
0
b)
-3
c)
3
d)
-1
55.
What is the algebraic equation for this table?
a)
y = x + 3
b)
y = 3x
c)
y = x ÷ 3
d)
y = x - 3
56.
Which equation matches the table?
a)
y = x
b)
y = 5x
c)
y = x - 4
d)
y = x + 4
57.
What is the perimeter of the rectangle?
a)
14 feet
b)
28 feet
c)
48 feet
d)
2 feet
58.
What is the perimeter of this polygon?
a)
39 in
b)
24 in
c)
105 in
59.
Ms. Dart has a rectangular garden that has the perimeter of 30 feet. If two of it's sides are 10 feet in length each, how wide is the garden?
a)
10 feet
b)
5 feet
c)
40 feet
d)
7 feet
60.
A football field is 300 feet long. If the perimeter of the field is 920 feet, what is the width?
a)
620 feet
b)
320 feet
c)
160 feet
d)
310 feet
61.
Area of triangle?
a)
17 units2
b)
20 units2
c)
10 units2
d)
16 units2
62.
Area or triangle?
a)
20 cm2
b)
56 cm2
c)
28 cm2
d)
27 cm2
63.
Find the area of this triangle.
a)
12 in2
b)
22 in2
c)
18 in2
d)
24 in2
64.
What is the radius of this circle?
a)
18
b)
10
c)
9
d)
8
65.
If the diameter of a circle is 50 yards, the radius is _____
a)
100 yards
b)
25 yards
c)
150 yards
d)
15 yards
66.
find the area of the circle below.
a)
100 cm
b)
225 cm
c)
9 cm
d)
28.26 cm
67.
What is the area of this circle?
a)
201.06
b)
50.27
c)
123.12
d)
94.43
68.
What is the circumference of a circle with a diameter of 40 in?
a)
125.6 in
b)
35.17 in
c)
28.67 in
d)
47.17 in
69.
The diameter of a circle is:
a)
The measurement around the circle.
b)
The distance from an edge of a circle to another edge.
c)
The distance from the center of the circle to an edge of a circle
d)
The distance from an edge of a circle to another edge through the center.
70.
The circumference of a circle is
a)
The measurement from an edge of a circle to another edge.
b)
The measurement around the circle
c)
The measurement from an edge of a circle to another edge going through the center
d)
The measurement from the center of the circle to an edge of the circle
71.
Find the circumference of a circle with a radius of 12.5 mm .
a)
37.68mm
b)
18.84mm
c)
78.5mm
d)
none of the above
72.
Find the volume.
a)
55 yd3
b)
121 yd3
c)
22 yd3
d)
330 yd3
73.
Find the Volume
a)
428.4 cm3
b)
412.8 cm3
c)
404.2 cm3
d)
400 cm3
74.
Find the volume
a)
1120 ft2
b)
2011 ft2
c)
120 ft3
d)
1120 ft3
75.
What shape is this?
a)
cone
b)
pyramid
c)
rectangular prism
d)
cube
76.
Calculate the Volume
a)
84 cm3
b)
420 cm3
c)
60 cm3
d)
144 cm3
77.
Which units are NOT used for volume?
a)
cm3
b)
m3
c)
mm3
d)
km2
78.
Calculate the Volume
a)
410 cm3
b)
420 cm3
c)
402 cm3
d)
401 cm3
79.
A cylindrical container has a diameter of 12 inches and a height of 15 inches, as illustrated in the diagram. What is the volume of this container to the nearest ?
a)
4,241.2
b)
1,696.5
c)
2,160.0
d)
6,785.8
80.
Find the volume of the solid shown in the figure?
a)
7230
b)
6621
c)
1130
d)
907
81.
Find the volume of the right cylinder?
a)
6516
b)
2276
c)
1692
d)
9923
82.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
83.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
84.
What is the opposite of squaring a number?
a)
divide
b)
multiply
c)
fractions
d)
square root
85.
solve for c
a)
7
b)
9
c)
4
d)
13
86.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
87.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
88.
Find the length of the missing side.
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
89.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
90.
What are complementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect.
91.
What are supplementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect
92.
Find the missing angle.
a)
60
b)
70
c)
50
d)
140
93.
What is the measure of the missing angle?
a)
39
b)
129
c)
119
d)
129
94.
Find the value of x.
a)
17
b)
28
c)
68
d)
39.5
95.
Find the value of x.
a)
13
b)
8.6
c)
5
d)
130
96.
Find the value of x.
a)
61
b)
40
c)
54
d)
47
97.
Find the value of x.
a)
41
b)
44
c)
128
d)
38
98.
If ∠H and ∠J are complementary, and the measure of ∠H is 45°, what is the measure of ∠J?
a)
135
b)
45
c)
60
d)
55
99.
1. Find X
a)
28
b)
5
c)
55
d)
40
100.
3. Find ∠NOQ
a)
31
b)
59
c)
180
d)
149
100 %
