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PA First Three Quarters Mega Review!!!!

Total questions: 118

Worksheet time: 6hrs 43mins

Name
Class
Date
1.

What is the first step to solve this equation:

- 3x -11 = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

2.

What operation would you perform first and then second when solving for m in the following equation?

10 + 7m = 17

a)

subtract 10, divide by 7

b)

divide by 7, subtract 10

c)

multiply by 7, add 10

d)

add 10, multiply by 7

3.
The steps in solving 5b - 6 = 24 are: 
a)
Add 6 to both sides and divide both sides by 5
b)
Add 6 to both sides and multiply both sides by 5
c)
Subtract 6 from both sides then multiply both sides by 5
d)
Subtract 6 from both sides then divide both sides by 5
4.

Solve for x:

2x - 3 + 4x = 27

a)

x = 12

b)

x = 4

c)

x = 5

d)

x = 15

5.
Solve for b:
 3(b - 4) = -3
a)
b = 3
b)
b = -3
c)
b = 5
d)
b = -5
6.

Solve for x:

2x -1(3+4x) = 11

a)

x = -4

b)

x = 7/3

c)

x = -7

d)

x = -17/8

7.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
8.
Find the value of y when x = 2.
a)
2
b)
6
c)
7
d)
8
9.
Find the value of y when x=3.
a)
1
b)
2
c)
4/3
d)
10
10.
What is a solution pair for this line?
a)
(0, 1)
b)
(1, 0)
c)
(-1, 0)
d)
(0, -1)
11.
What is a solution pair for this line?
a)
(1, 0)
b)
(0, 1)
c)
(-1, 0)
d)
(0, -1)
12.
Which is the graph of x + y = 2?
a)
A
b)
B
c)
C
d)
D
13.
Which is the graph of y = x - 2?
a)
A
b)
B
c)
C
d)
D
14.

5a + 3 - a = 4a

a)

one

b)

none

c)

infinite

15.

3c + 1 = 1 + 3c

a)

one

b)

none

c)

infinite

16.

-x - x = 2x + 4

a)

one

b)

none

c)

infinite

17.

Solve:

2x + 1 = 2x - 1

a)

one

b)

none

c)

Infinite

18.

Solve:

3x + 15 = 3(x + 5)

a)

one

b)

none

c)

Infinite

19.
a)
It is a function because each x has only one y.
b)
It's not a function because an x has multiple y's.
c)
It's not a function because a y has multiple x's.
d)
It is a function because each y has only one x.
20.
What is the equation for this table?
a)
y = -2x + 5
b)
y = 2x + 5
c)
y = 5x - 2
d)
y = 5x + 5
21.
The amount of money earned on a job is directly proportional to the number of hours worked.  If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?
a)
$2
b)
$308
c)
$1.57
d)
$265
22.

Which graph represents the data?

a)
b)
c)
d)
23.
a)
(-1, -4)
b)
(-1, -3)
c)
(-3, -1)
d)
(-4, -1)
24.
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
25.
a)
Function
b)
Not a Function
26.

You are looking for....

a)

domain

b)

y-intercept

c)

slope

d)

x-intercept

27.

Is this a function?

a)

yes

b)

no

28.

Is this a function?

a)

no

b)

yes

29.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
30.
Does the table represent a function?
a)
Yes, there  is a repeated x-value. 
b)
No, there aren't any repeated y-values. 
c)
Yes, there are repeated y-values. 
d)
No, there is a repeated x-value. 
31.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
32.
This graph represents which function?
a)
y = -2x
b)
y = 2x
c)
y = -2x + 1
d)
y = 2x - 1
33.
The table shows the amount of money Anisha is paid for working different numbers of hours.  What would be Anisha's total pay if she works for 24 hours in a week?
a)
$170
b)
$168
c)
$175
d)
$180
34.
You can buy 36 cookies for $4. What is the unit rate (in cookies per dollar)?
a)
4 cookies per dollar
b)
6 cookies per dollar
c)
9 cookies per dollar
d)
1/9 dollars per cookie
35.
What is the volume of this rectangular prism?
a)
48 cubic centimeters
b)
12 cubic centimeters
c)
20 cubic centimeters
d)
32 cubic centimeters
36.
Sam is using this box to pack books.  He needs to know the volume so he can figure out how many books to pack.
Which expression below would Sam use to find the volume of the box?
a)
3 + 4 + 5
b)
3 + 4 x 5
c)
3 x 4 + 5
d)
3 x 4 x 5
37.
Find the Volume of the Cone
a)
150.72 cm³
b)
75.36 cm³
c)
452.16 cm³
d)
151 cm³
38.
Find the volume of the Sphere
a)
78.5 m3
b)
392.5 m3
c)
523.6 m3
d)
62.8 cm3
39.
You have a globe that has a radius of 11 inches. Find the volume of your globe. 
a)
523 in3
b)
16,717 in3
c)
5,575 in3
d)
7,235 in3
40.
A cylinder shaped jar has a radius of 2 cm and a height of 6 cm. What’s the volume of the jar? 
a)
301.44 cubic cm
b)
125.93 cubic cm
c)
75.36 cubic cm
d)
67.89 cubic cm
41.
Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches. 

Which equation can be used to find the volume of the container?
a)
V = π(9)
b)
V = π(4.5)2(32)
c)
V = π(9)2(32)
d)
V = π(4.5)(32)
42.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
43.
Which cylinder will have a larger volume?
a)
Cylinder A
b)
Cylinder B
44.
A cylinder has a height of 4 m and a diameter or 4 m. What is the volume?
a)
64π m3
b)
16π m3
c)
64π m2
d)
16π m2
45.
A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?
a)
y=15x
b)
y=15x+80
c)
y=x+15
d)
y=80x+15
46.
What equation matches this situation?
John wants to buy an MP3 Player that costs $30.98.  How much change did he receive if he gives the cashier $40.
a)
40 + c = 30.98
b)
30.98 + c = 40
c)
c - 40 = 30.98
d)
c - 30.98 = 40
47.
Mei was going to sell all of her stamp collection to buy a video game.  After selling half of them she changed her mind.  She then bought nineteen more.  How many did she start with if she now has 45?
a)
2/x + 19 = 90
b)
x/2 + 19 = 45
c)
2x +19 = 109
d)
19x + 2 = 71
48.
Pizzazz Publications is having some books printed. The printer charges $800 plus $5 per book. What equation could help me find how many books can be printed for $4,000?
a)
800 + 5x = 4000
b)
800x + 5 = 4000
c)
4000 + 5x= 800
d)
800 + 5 = 4000
49.
The length of a rectangular field is 75 yards. This is 3 yards more than twice the width. How could I find the width of the field?
a)
2w + 3 = 75
b)
2/w + 3 = 75
c)
2w - 3 = 75
d)
3w = 75
50.
What is the equation of this line?
a)
0
b)
undefined 
c)
y = -2
d)
x = -2
51.
Graph. x = 1
a)
a
b)
b
c)
c
d)
d
52.
What is the equation of this line?
a)
x=-2
b)
y=-2x
c)
x=2
d)
y=-2
53.
12x = 144
a)
x = 12
b)
x = 4
c)
x = 2
d)
x = 132
54.
-4x + 1 = 21
a)
x=120
b)
x=5
c)
x=30
d)
x=-5
55.
5 = 7s - 9
a)
2
b)
6
c)
7
d)
8
56.
Which equation has x = 2 as a solution?
a)
3 + x = 10
b)
11 + x = 13
c)
4x = 32
d)
5x =25
57.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4 
58.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
59.
2x + 3(5x - 7) = 47
a)
1
b)
2
c)
3
d)
4
60.

What is the constant rate?

a)

40 CALORIES PER MIN.

b)

15 CALORIES PER MIN.

c)

4 CALORIES PER MIN.

d)

60 CALORIES PER MIN.

61.
What is the solution to this equation?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
62.
Solve:
2x + 1 = 2x - 1
a)
No Solution
b)
x = 0
c)
Infinitely Many Solutions
63.
What is the definition of infinite solutions?
a)
no matter what constant is substituted in for the variable, the equation is ALWAYS true
b)
no matter what constant is substituted in for the variable, the equation will NEVER be true
c)
only this ONE solution will make the equation true
64.
What is the definition of one solution?
a)
no matter what constant is substituted in for the variable, the equation is ALWAYS true
b)
no matter what constant is substituted in for the variable, the equation will NEVER be true
c)
only this ONE solution will make the equation true
65.
What is the definition of no solution?
a)
no matter what constant is substituted in for the variable, the equation is ALWAYS true
b)
no matter what constant is substituted in for the variable, the equation will NEVER be true
c)
only this ONE solution will make the equation true
66.
Solve:
3x + 15 = 3(x + 5)
a)
No Solution
b)
x = 15
c)
Infinitely Many Solutions
67.
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
68.

What is the constant rate of change between the quantities in the table?

a)

$1 per hour

b)

$40 per hour

c)

$5 per hour

d)

$10 per hour

69.
The pair of figures is similar. Find the missing side.
a)
x = 9
b)
x = 28
c)
x = 7
d)
x = 63
70.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
71.
Find missing side
a)
5
b)
7
c)
9
d)
11
72.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
73.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
74.
Which statement is always true about two congruent polygons?
a)
Corresponding sides are always congruent.
b)
Corresponding angles are always right angles.
c)
Corresponding sides are always parallel.
d)
They are the same shape but different size.
75.
Which statement is always true about two congruent polygons?
a)
The number of angles & sides is always the same.
b)
Corresponding sides are always parallel.
c)
Corresponding angles are always right angles.
d)
They can be different sizes.
76.
a)
A
b)
B
c)
C
d)
D
77.
a)
A
b)
B
c)
C
d)
D
78.
Translations, rotations, and reflections are three different types of what?
a)
Transformations
b)
Geometry
c)
Vectors
d)
Shapes
79.
The mathematical term for the line that you reflect a shape over is the...
a)
Mirror
b)
Reflective tape
c)
Line that you reflect over
d)
Line of reflection
80.
How is Quadrilateral EFGH translated to E'F'G'H'?
a)
6 down
b)
6 down, 1 right
c)
6 down, 3 left
d)
8 down, 1 right
81.
How is triangle ABC being translated to triangle A'B'C'?
a)
up 3, left 8
b)
up 9, left 4
c)
down 3, right 8
d)
down 9, right 4
82.
Which answers are showing a reflection?
a)
a and c
b)
b and c
c)
c and d
d)
a and d
83.
Identify the transformation from C to D.
a)
90o Counter Clockwise Rotation
b)
180o Rotation
c)
270o Counter clockwise Rotation
d)
360o Rotation
84.
Identify the transformation from ABC to A'B'C'.
a)
Reflection across the x-axis
b)
Reflection across the y-axis
c)
90o clockwise rotation
d)
90o counterclockwise rotation
85.
When you translate, (x-4,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
86.
When you translate, (x,y+6) will move _____.
a)
6 units right
b)
6 units left
c)
6 units up
d)
6 units down
87.
What is the angle of rotation for this counterclockwise rotation about the origin?
a)
90°
b)
180°
c)
270°
d)
360°
88.
Write a rule for the translation.
a)
 (x -1, y  + 2)
b)
 (x -2, y  + 1)
c)
 (x +2, y  - 1)
d)
(x +1, y  -  2)
89.
A dilation is which of the following: 
a)
only an enlargement
b)
only a reduction
c)
Either an enlargement or a reduction
d)
Neither an enlargement or a reduction
90.

A dilation produces a congruent figure

a)

True

b)

False

91.
When a dilation has a scale factor greater than one, the dilation is an enlargement.
a)
True
b)
False
92.
When the scale factor of a dilation is less than one, the dilation is a reduction.
a)
True
b)
False
93.
The __________ is the ratio of a length of the new figure to the corresponding length on the original figure.
a)
reduction
b)
enlargement
c)
scale factor
d)
center of dilation
94.
Similar figures have the same ______ but different ______. 
a)
measure; shapes
b)
sizes; shapes
c)
value; measures
d)
shape; sizes
95.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
96.
What scale factor was used to produce the image?
a)
2
b)
-2
c)
1/2
d)
1
97.
Find the measure of x:
a)
6
b)
24
c)
33
d)
36
98.
In a dilation what mathematical operation is used with the scale factor?
a)
addition 
b)
subtraction 
c)
multiplication 
d)
division 
99.

Simplify by combining like terms:

5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

10ab + 4

100.

Combine like terms: n -10 + 9n - 3=

a)

9n - 7

b)

10n - 7

c)

9n - 13

d)

10n -13

101.

Which of the terms could be combined in the following expression:

3x + 7 - 9x + 24y + 2x2

a)

7, 24y

b)

3x, 9x

c)

3x, -9x

d)

3x, -9x, 2x2

102.

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

-6c + 15

d)

-6c - 15

103.

Simplify by combining like terms:

− 4x - 10x

a)

-14

b)

6x

c)

-6x

d)

-14x

104.

Simplify by combining like terms:

7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

105.

Simplify by combining like terms:

3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

106.

Simplify by combining like terms:

a + a + a + a

a)

a + 4

b)

4a

c)

a to the fourth power

d)

4a + 4

107.

Simplify by combining like terms:

-2x + 11 + 6x

a)

8x + 11

b)

4x +11

c)

4x

d)

15x

108.

Simplify by combining like terms:

7n + 8p + n + p

a)

8n + 9p

b)

9p + 8n

c)

7n + n + 8p + p

d)

7nn + 8pp

109.

Simplify by combining like terms:

3 + 12c - 4c

a)

16c + 3

b)

8c + 3

c)

5c

d)

8c

110.

Simplify by combining like terms:

7t - 3t + t - 3t

a)

2t

b)

8t - 6t

c)

14t

d)

Can't be simplified

111.

Simplify by combining like terms:

10d - 3d + 2e + 4d

a)

11d + 2e

b)

17d + 2e

c)

19de

d)

Can't be simplified

112.

Simplify by combining like terms:


  7y2 −5y + 9y − 5y27y^2\ -5y\ +\ 9y\ -\ 5y^2  

a)

6y2 6y^{2\ }  

b)

2y2 + 4y 2y^{2\ }+\ 4y\  

c)

12y2 + 14y12y^{2\ }+\ 14y  

d)

Can't be simplified

113.

Simplify by combining like terms:

12b + 4b2 - 10b

a)

4b2 + 2b

b)

4b2 + 22b

c)

6b2

d)

Can't be simplified

114.

Simplify by combining like terms:

3x2 - x + 2 - 5x2 + 8x - 5

a)

8x2 + 9x + 7

b)

-2x2 + 7x - 3

c)

2x2 + 7x - 3

d)

5x2 - 3

115.

Simplify by combining like terms:

8xy + 7x2 + 6y – 4x2 - 5xy

a)

3x2 + 3xy + 6y

b)

6y2 + 2xy + 2x

c)

7x2 + 35x

d)

3x2 + 6y2 + y

116.

Simplify by combining like terms:

4x2 – 2x2 + 2y + 6y2 – y + x2

a)

3x2 + 3xy + 6y

b)

6y2 + 2xy + 2x

c)

7x2 + 35x

d)

3x2 + 7y2 + y

117.
Simplify by combining like terms:
4x2 - 3x + 11 -2x
a)
4x2 - 5x + 11
b)
11x + 11
c)
16x2 - 5x + 11
d)
10x2
118.
y + x + y + y + x 
a)
2 + 3 
b)
x + y 
c)
2x + 3y 
d)
5xy 

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