100) Simplify the expression below
8x + 7x
A
15
B
15x
C
15x2
D
15(x + x)
(7A2)
101) Simplify the expression below
10xy – 12x + 6xy
A
4xy
B
8xy
C
16xy – 12x
D
4xy – 12x
(7A2)
102) Which of these phrases best describes a polynomial?
A
a number that is non-terminating or non-repeating
B
an algebraic expression containing one or more terms
C
a figure that is close-planed formed by three or more line segments
D
a number greater than one that has only itself and the number one as
factors
(7A3)
39
103) Simplify the expression below.
(4x2 + 5x – 3) – (2x – 1)
Show your work
Answer ___________________________
40
104) Carol must solve the equation 7x + 12 = 10x. If she subtract 7x from
the left side of the equation, what should Carol write on the right side of the
equation?
A
3
B
3x
C
17
D
17x
(7A4)
105) Antoine wants to solve the equation 5x – 3 = 12. Which steps could
Antoine follow to find the solution?
A
Add 3 to both sides. Then divide both sides by 5.
B
Divide both sides by 5. Then add 3 to both sides.
C
Subtract 3 from both sides. Then divide both sides by 5
D
Multiply both sides by 5. Then subtract 3 from both sides.
(7A4)
106) Michelle decides to convert from Celsius to Fahrenheit. She wants to
change 25 degrees Celsius to Fahrenheit. Use the formula below to find
the degrees in Fahrenheit.
F=
( 95 ) C + 32
Show all work
Answer _______________ degrees
(7A6)
41
107) Michelle converts the outside temperature from degrees Fahrenheit, F, to
degrees Celsius, C. She uses the formula below to convert the temperature.
(F – 32)
( 95 )
=C
If the outside temperature is 68 degrees Fahrenheit, what is the outside
temperature in degrees Celsius?
F
4
G
18
H
36
J
20
(7A6)
108) Solve for y in the equation below and check.
-3y + 12 = - 8y + 47
Answer ____________________
(7A4)
42
109) Solve for x in this equation and check:
2(4x – 6) – 5 = 5x + 1 + x
Answer ______________
On the lines below, explain how to use the distributive property to help you
solve this equation.
________________________________________________________________
________________________________________________________________
________________________________________________________________
________________________________________________________________
________________________________________________________________
(7A4)
43
110) Solve for x in the equation below and check
6 (4x – 3) = - 6
Answer ______________
(7A4)
111) Solve for x in the equation below and check
7(3x – 4) = - 14
Answer ______________
(7A4)
112) What value of x makes the equation below true?
x5
= 8
7
(7A4)
Answer ______________
44
113) Solve the equation below for p and check.
3(p + 6) = 5p + 4
Show your work
Answer p = ____________________________
Check your answer.
Show your work.
45
114) What is the solution of the equation below?
4(x + 5) = x + 8
Show your work
Answer x = ___________________
Check to see if your answer is correct.
Show your work
46
115) In the figure ABCD shown below, the total length of the sides equals 130
inches.
B
x+5
A
x
4x + 7
D
2x - 2
C
(Not drawn to scale)
__
Find the length of side BC.
Answer ______________ inches
(7A4)
47
116) Nicole compares the prices of download music from two different web
sites.
New Tunes
Melodia
$15 sign up fee
$0.70 per song
$10 sign up fee
$0.90 per song
Write the equation below that Nicole will use to determine when the two
plans will cost the same. Use x to represent the number of songs.
Equation _________________________________
What number of songs must be downloaded for both music plans to cost
the same?
Answer __________________ songs
(7A4)
48
117) Find the value of x in the equation below.
4(x + 3) = x
A
-4
B
-3
C
3
D
4
(7A4)
118) Mr. Dorosky filled a swimming pool with water. When he started, the pool
already contained 1800 gallons of water. The table below shows the
number of gallons of water in the pool after filling it for h hours.
GALLONS OF WATER IN POOL
Gallons of water
in Pool (g)
Number of
Hours (h)
1,800
0
2,300
1
2,800
2
3,300
3
3,800
4
Which equation can be used to determine the number of gallons, g, of water
in the pool after h hours?
F
g = 500h
G
g = 1,800h
H
g = 1,800 + 500h
J
g = 1,800h + 500
(7A10)
49
119) The table below shows a relationship between x and y
x
2
3
4
5
y
8
11
14
17
Which equation shows the relationship between x and y?
A
y = 4x
B
x = 4y
C
y=x+6
D
y = 3x + 2
(7A10)
120) Complete the function table below with the missing values for y.
x
y
1
3
2
9
3
15
4
21
5
6
Based on the function table, write a function rule that shows the relationship
between x and y.
Answer ____________________________________________________
(7A10)
50
121) John conducted an experiment on the growth rate of bacteria. The table
below shows his results.
GROWTH RATE
OF BACTERIA
Number of
Hours (h)
Number of
Bacteria (b)
0
25
1
71
2
117
3
163
Write a function rule for the number of bacteria, b, after h hours.
Answer ______________________________________________________
What will the number of bacteria be after 5 hours?
Answer ___________________________ bacteria
(7A10)
51
122) The table below shows the number of chaperones, y, needed for a certain
number of students, x, on a school trip.
SCHOOL TRIP
Number of
Students (x)
35
49
63
77
Number of
Chaperones
(y)
5
7
9
11
Write an equation that represents the relationship between the number of
chaperones needed and the number of students going on the school trip.
Equation ________________________________
How many chaperones will be needed for a dance that has 105 students?
Answer ______________
(7A10)
52
123) The table below shows Kaitlynn’s bank account balance for the past
six weeks.
KAITLYNN’S
BANK ACCOUNT
Week (w)
Balance (b)
1
15
2
33
3
51
4
69
5
87
6
105
Part A
Using the information from the table, write an equation that represents
the balance, b, in Kaitlynn’s bank account as a function of the number
of weeks, w.
Answer _________________________________
Part B
Use your equation or the information in the table to find what Kaitlynn’s
bank account balance will be in Week 8.
Answer $ __________________
(7A10)
53
124) Complete the table below with the missing values for y
x
y
-4
14
-3
11
-2
8
-1
5
0
1
On the line below, write a function rule that shows the relationship between
x and y in the table
Answer _________________________________________________________
54
125) Complete the table below to create a pattern that shows a linear
relationship between x and y.
x
y
1
2
3
4
Write an equation that can be used to represent the relationship
between x and y in your table.
Equation ___________________________________________
55
126) Jacky drew the graph below to represent a situation
500
Degrees
400
300
200
100
0
0
10
20
30
Minutes
Which statement could describe the situation Jacky graphed?
A
The temperature of a frozen pizza cooking in an oven increases
5 degrees every minute
B
The temperature of a frozen pizza cooking in an oven increases
10 degrees every minute
C
The temperature of a frozen pizza cooking in an oven increases
15 degrees every minute
D
The temperature of a frozen pizza cooking in an oven increases
20 degrees every minute
56
127) Rectangle JKLM is formed by triangle KJM and triangle KLM, as
shown below.
J
K
M
L
Which side of triangle KJM is the hypotenuse?
__
A JK
__
B
KM
__
C
JM
__
D
LM
(7G5)
128) What is the length of side x in the triangle below.
3
x
Pythagorean Theorem:
c2 = a2 + b2
7
(not drawn to scale)
A
B
C
D
10
___
√10
58
___
√ 58
(7G8)
57
129) Alex is building a skateboard ramp with a piece of plywood that is 9
feet long. He wants the height of the ramp to be 4 feet.
4 feet
9 feet
?
(not drawn to scale)
To make a strong ramp, the base must form a right angle with the back of the
ramp. What will be the length of the base rounded to the nearest tenth of a
foot?
Show your work
Answer __________________ feet
(7G8)
58
130) What is the length, in centimeters, of side x in the right triangle below?
x
5 cm
12 cm
Pythagorean Theorem:
c2 = a2 + b2
A
9
B
17
C
13
D
15
(7G10)
131) Based on the Pythagorean Theorem, which relationship is true for the
sides of the triangle below?
9
15
12
A
92 + 152 = 122
B
92 + 122 = 152
C
92 + 122 = 15
D
122 + 152 = 92
Pythagorean Theorem:
c2 = a2 + b2
(7G8)
59
132)
In triangle ABC below, AB is 13 meters long and CB is 10 meters
long. Use the Pythagorean Theorem to find the length of AC to the
nearest tenth of a meter.
A
13
C
10
B
(not drawn to scale)
Show your work
Answer ____________________ meters
(7G8)
60
133) Janet drew the triangle below
12 cm
22 cm
16 cm
(not drawn to scale)
Is Janet’s triangle a right triangle? Use the Pythagorean Theorem to prove
whether her triangle is a right triangle.
Show your work
On the lines below, explain why your answer is correct.
__________________________________________________________________
_________________________________________________________________
_________________________________________________________________
_________________________________________________________________
__________________________________________________________________
(7G9)
61
134) Which line segment represents the hypotenuse on right triangle XYZ?
X
A
XY
B
XZ
C
XW
D
YZ
W
Y
62
Z
135) Supermart sells AAA batteries in a variety of packages. The cost per
battery is the same in every package. A package of 12 batteries costs
$20.76. Write a proportion that can be used to determine the cost of a
package of 5 batteries.
Proportion ____________________________________________________
Solve your proportion to determine the cost of a package of 5 batteries.
Show your work.
Answer $ _____________
(7M5)
136) A 15 ounce bag of chocolate costs $2.70. If the unit price stays the same,
how much does a 35 ounce bag of chocolate cost?
A
$5.40
B
$5.04
C
$6.03
D
$6.30
(7M5)
63
137) Elena and her friend are comparing the prices of two brands of cereal.
Crunchy Oats costs $3.06 for an 18-ounce box. Munchy Oats cost $3.84
for a 24-ounce box.
Part A
What is the price per ounce of the Crunchy Oats?
Show your work
Answer $ _____________ per ounce
Part B
How much more expensive is Crunchy Oats per ounce than Munchy Oats?
Answer $ _____________ per ounce
(7M5)
138) Thomas is grocery shopping and sees that the price of 6 oranges is $3.90.
Write a proportion that Thomas can use to find the price of 1 orange.
Proportion ________________
Use your proportion to find the price of 1 orange.
Answer $ ___________
(7M5)
64
139) The table below shows the prices of three different-sized packages
containing the same type of candy.
CANDY
Package
Weight
(in ounces)
Package
Price
A
5
$1.00
B
8
$1.44
C
12
$2.04
Candy Price
(per ounce)
Complete the table to determine which package has the lowest candy
price, per ounce.
Show your work
Answer _____________________________________
(7M5)
65
140) Tim wants to buy a phone care for long-distance calls. He can buy a 200
minute card for $10.00 or a 300-minute card for $12.00. Which card
is the better value?
Show your work
Answer _______________________
66