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Pre-Algebra Final Review

Total questions: 65

Worksheet time: 2hrs 24mins

Name
Class
Date
1.
Solve 2x - 3 = 1 
a)
3
b)
2
c)
1
d)
-2
2.
7(2x - 4) = 42
a)
x= 5
b)
x= 8
c)
x= 2
d)
x= 9
3.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4 
4.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
5.
Solve:
3x + 15 = 3(x + 5)
a)
No Solution
b)
x = 15
c)
Infinitely Many Solutions
6.

What is the solution to the system?

a)

(-1, 3)

b)

(-3, 1)

c)

(3, -1)

d)

(-3, -1)

7.

How many solutions are there in the system of equations?

a)

No Solution

b)

Infinitely Many Solutions

c)

One Solution

d)

Two Solutions

8.

What is the solution to the system of equations?

a)

(-1, -3)

b)

(3, 1)

c)

(1, 3)

d)

(-3, -1)

9.
If a system of equations has no solution, what does the graph look like? 
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
10.
The ordered pair that satisfies all equations in the system.
a)
system of equations
b)
function
c)
graph
d)
solution of a system
11.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
12.
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
13.
Find the slope of the line that passes through: 
(2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
14.

Write a linear equation in slope intercept form of a line with a slope of 12 and y intercept of 10

a)

y=12x-10

b)

y=10x+12

c)

y=12x+10

d)

x=10x-12

15.
Write a linear equation in slope intercept form of a line with a slope of -3 and y intercept of 0
a)
y=-3
b)
y=3x
c)
y=-3x
d)
x=-3
16.
What type of angle pair is ∠1 and ∠5?
a)
alternate interior angles
b)
corresponding angles
c)
alternate exterior angles
d)
vertical angels. 
17.
In the diagram, which of the following statements are false?
a)
∠1 and ∠4 are vertical angles
b)
∠4 and ∠5 are alternate interior angles
c)
∠1 and ∠8 are alternate interior angles
d)
∠2 and ∠6 are corresponding angles
18.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
19.
A line that passes through 2 or more lines is called a ______________.
a)
transitive
b)
passer through line
c)
transversal
d)
bisector
20.
What is the measure of ∠2?
a)
38
b)
58
c)
71
d)
142
21.
Find the value of x.
a)
20
b)
135
c)
31
d)
145
22.
What is the measure of ∠2?
a)
38
b)
58
c)
71
d)
142
23.
What is the value of x?
a)
60
b)
26
c)
14
d)
10
24.
What is the measure of ∠8?
a)
55
b)
155
c)
135
d)
45
25.
What is the measure of ∠3?
a)
55
b)
155
c)
45
d)
135
26.
What is the measure of ∠6?
a)
55
b)
155
c)
45
d)
135
27.
What type of angle pair is ∠1 and ∠5?
a)
alternate interior angles
b)
corresponding angles
c)
alternate exterior angles
d)
vertical angels. 
28.
What type of angle pair is ∠1 and ∠3?
a)
alternate interior angles
b)
 supplementary angles
c)
corresponding angles
d)
vertical angles 
29.
What is the value of x?
a)
70
b)
28
c)
140
d)
40
30.
What is the value of y? 
a)
20
b)
40
c)
28
d)
140
31.
What is the value of x?
a)
22
b)
26
c)
24
d)
23
32.
What is the value of x?
a)
-6
b)
22
c)
16
d)
21
33.
What are the values of the two angles? 
a)
18° and 152°
b)
30° and 150°
c)
42° and 138°
d)
45° and 135°
34.
What is the value of x?
a)
22°
b)
10°
c)
9°
d)
7°
35.
What is the measure of ∠ABC?
a)
25°
b)
75°
c)
108°
d)
150°
36.
In the diagram, which of the following statements are false?
a)
∠1 and ∠4 are vertical angles
b)
∠4 and ∠5 are alternate interior angles
c)
∠1 and ∠8 are alternate interior angles
d)
∠2 and ∠6 are corresponding angles
37.
What type of angle pair is ∠1 and ∠5?
a)
alternate interior angles
b)
corresponding angles
c)
alternate exterior angles
d)
vertical angels. 
38.
Solve for  y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
39.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
40.
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?
a)
210 m
b)
180 m
c)
150 m
d)
79 m
41.
Find the missing side
a)
36
b)
76.8
c)
12
d)
40
42.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

43.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
44.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
45.
Find the volume of the cylinder. Round your answers to the nearest tenth if necessary. Use 3.14 for π.
a)
124.6 in3
b)
87.9 in3
c)
97.5 in3
d)
78.9 in3
46.

A can of soup contains about 423.115 cubic centimeters of soup. The height of the can is 11 cm. What is the approximate radius of the can to the nearest centimeter? Use 3.14 for π.

a)

3.5 cm

b)

12.25 cm

c)

6.125 cm

d)

24.5 cm

47.
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
48.

Find the volume of the cone. Use 3.14 for π.

a)

55.7

b)

200.96

c)

100.5

d)

33.5

49.

Calculate the amount of ice cream this cone can hold (just to the top of the cone). Use 3.14 for π.

a)

58.29 cm2

b)

58.29 cm3

c)

233.15 cm2

d)

233.15 cm³

50.
What is the relationship between the volume of a cone and cylinder when they both have the same radius and height?
a)
The cylinder is 1/3 the volume of the cone. 
b)
The cone is 1/3 the volume of the cylinder. 
c)
They have the same volume. 
d)
Their volumes are not related at all. 
51.
a)

The slope of Function A is greater than the slope of Function B.

b)

The slope of Function A is less than the slope of Function B.

52.
What does 'b" represent in y=mx=b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
53.
Why is this function linear?
a)
This is a linear function because it does not have a constant rate of change
b)
This is a linear function because it creates a curved line.
c)
This is a linear function because it have a constant rate of change.
d)
This is a linear function because it's y-intercept is (0,2)
54.
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.
55.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
56.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
57.

Determine the type of slope

a)

Undefined

b)

Zero

c)

Negative

d)

Positive

58.

Does this transformation show a translation, rotation, or reflection?

a)

rotation

b)

translation

c)

reflection

59.

Triangle DEF has vertices D(2,0), E(1,-2), and F(2,1). The triangle is rotated 90˚clockwise about the origin.What are the coordinates of vertex F' ?

a)

(-2, -1)

b)

(-1, -2)

c)

(1, -2)

d)

(-2, 1)

60.

What will be the coordinates of point V after a reflection of  ΔUVW\Delta UVW  across the x-axis?

a)

(-4, 4)

b)

(-4, 1)

c)

(4, -4)

d)

(4, -1)

61.

Define congruent figures

a)

two figures that are the same shape

b)

two figures that are the same size and the same shape

c)

two figures that are the same size

d)

two figures that are both rectangles

62.

This type of transformation changes the size:

a)

rotation

b)

translation

c)

reflection

d)

dilation

63.
When a dilation has a scale factor greater than one, the dilation is an enlargement.
a)
True
b)
False
64.
Dilate Point B by a scale factor of 1/2
a)
(1.5,-4)
b)
(-1.5,1)
c)
(-1,-1.5)
d)
(-2,-2)
65.

What is the scale factor of the dilation shown?

a)

1/3

b)

1/2

c)

3

d)

2

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