Worksheets7 Finals Review
Total questions: 150
Worksheet time: 8hrs 53mins
Name
Class
Date
1.
6 - (-4)
a)
10
b)
2
c)
-2
d)
-10
2.
-18 +(-6)
a)
3
b)
-3
c)
-12
d)
-24
3.
What is the product a positive integer and negative integer?
a)
Negative
b)
Positive
4.
Which integer represents a withdrawal from your bank account of $50
a)
-$50
b)
$50
c)
+$50
5.
Which integer represents a gain of 10 yards on a football play?
a)
+10
b)
-10
6.
Identify the set of numbers that is graphed below
a)
{-4,3,-1}
b)
{-4,-3,1} and their opposties
7.
Boston has a temperature of -20 degrees. It is colder in New York than in Boston. Select the value that could represent the temperature of New York
a)
0
b)
30
c)
-30
d)
-19
8.
-3 x -8
a)
28
b)
11
c)
24
d)
-24
9.
-12 ÷ 3
a)
-4
b)
9
c)
4
d)
-9
10.
(-4)(-5)
a)
-9
b)
-20
c)
9
d)
20
11.
The word "of" represents what operation?
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
12.
Write an algebraic expression for:
35 decreased by a number
35 decreased by a number
a)
35+n
b)
35-n
c)
n-35
13.
Write a verbal expression for:
4q
4q
a)
Four q
b)
Four times q
c)
Four plus q
14.
The sum of seven and twelve
a)
7 + 12
b)
12 - 7
c)
12 x 7
15.
Four times the sum of 7 and w
a)
4 x w
b)
4(7 + w)
c)
47w
16.
The difference of ten and six
a)
10 x 6
b)
10 + 6
c)
10 - 6
17.
m plus the product of 6 and n
a)
m + 6n
b)
m - 6 + n
c)
6m + n
d)
m + 6 + n
18.
fourteen times a number
a)
n-14
b)
14n
c)
14+n
d)
14-n
19.
You must be older than 12 years old to ride the go-karts.
a)
a > 12
b)
a < 12
c)
a > 12
d)
a < 12
e)
a = 12
20.
You must be at least 16 years old to have a driver’s license.
a)
d > 16
b)
d < 16
c)
d > 16
d)
d < 16
e)
d = 16
21.
Swim practice will be no more than 35 laps.
a)
L > 35
b)
L < 35
c)
L > 35
d)
L < 35
e)
L = 35
22.
More than 800 fans attended the opening soccer game.
a)
f > 800
b)
f < 800
c)
f > 800
d)
f < 800
e)
f = 800
23.
Mrs. Smith is 42 years old.
a)
m > 42
b)
m < 42
c)
m > 42
d)
m < 42
e)
m = 42
24.
Solve the equation:
x + 7 = 12
x + 7 = 12
a)
x = 5
b)
x = 19
c)
x = -5
d)
x = 84
25.
Solve the equation:
x - 4 = -3
x - 4 = -3
a)
x = -7
b)
x = 1
c)
x = 12
d)
x = -12
26.
Solve the equation:
4p = 16
4p = 16
a)
p = 12
b)
p = -12
c)
p = -4
d)
p = 4
27.
Solve the equation:
-5x = 25
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
28.
The variable, k, is being divided by 11. How should you show your work to isolate the variable?
a)
Divide both sides by 11
b)
Multiply both sides by 11.
c)
Add 11 to both sides.
d)
Subtract 11 to both sides.
29.
In the equation
x + 7 = 12
7 is being added to the variable, x. How should you show your work to isolate the variable and solve the equation?
x + 7 = 12
7 is being added to the variable, x. How should you show your work to isolate the variable and solve the equation?
a)
Subtract 7 from both sides. The solution is x = 5.
b)
Add 7 to both sides.
The solution is x = 19.
The solution is x = 19.
c)
Multiply both sides by 7 The solution is x = 84.
30.
Solve the equation:
20.5 = x + 4
20.5 = x + 4
a)
16.5
b)
16.05
c)
24.5
d)
24.05
31.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
32.
A cell phone company charges $3.00 to make a phone call plus $0.15 for each minute for each minute you talk. Which equation would you use to determine the total cost, c, of a phone call that is m number of minutes long?
a)
c = 3.00 - 0.15m
b)
c = 0.15 + 3.00m
c)
3.00 = c + 0.15
d)
c = 3.00 + 0.15m
33.
Translate the sentence into an equation:
Four more than six times a number is 18.
Four more than six times a number is 18.
a)
10x = 18
b)
4x + 6 = 18
c)
4 + 6x = 18
d)
not enough info
34.
11b+7=40
a)
2
b)
1
c)
4
d)
3
35.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
36.
Figure out what n equals in this equation:
6n + 4 = -26
6n + 4 = -26
a)
n=-6
b)
n= -5
c)
n= 8
d)
n= -4
37.
7(9 + K)= 84
k =____________
k =____________
a)
3
b)
-3
c)
5
38.
144 + =-12(x+ 5)
a)
-`7
b)
-17
c)
14
39.
9x -7 = -7
a)
4
b)
0
c)
5
40.
-15 = -4m + 5
a)
4
b)
7
c)
5
41.
Solve the equation:
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4
42.
Solve the equations:
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
43.
Solve the equation:
3(x - 1) = 2x + 9
3(x - 1) = 2x + 9
a)
x = 12
b)
no solution
c)
x = 10
d)
x = 6
44.
Solve the equation:
3x - x + 2 = 4(2x - 1)
3x - x + 2 = 4(2x - 1)
a)
infinite solutions
b)
x = 1
c)
x = -1
d)
no solution
45.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
46.
5(a + 6)
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
47.
2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
48.
4(-p - 6)
a)
4p - 24
b)
4p + 24
c)
-4p + 24
d)
-4p - 24
49.
Which of the following is equivalent to 5(2x + 3)?
a)
52x + 53
b)
7x + 10
c)
10x + 15
d)
10x + 3
50.
There are 4 birds and 6 snakes. What is the ratio of birds to snakes?
a)
6/4
b)
4/6
c)
1/3
d)
10/16
51.
88 students for 4 classes
How many students per class?
a)
22 students per class
b)
22 classes per student
c)
25 students per class
d)
25 classes per student
52.
Ella has 5 balloons. Taylor has 7 balloons. Write the ratio of Ella's balloons to Taylor's balloons.
a)
7:5
b)
5:7
c)
3:5
d)
5:3
53.
Which statement best describes what a ratio is.
a)
A number
b)
A comparison of two quantities using division.
c)
A comparison
d)
A comparison of many things.
54.
Which of the following options is a real life example of a ratio?
a)
12 noodles
b)
4 meatballs : 1 cup of sauce
c)
1 jar of sauce
d)
15 desserts
55.
Simplify 8:4
a)
4:2
b)
2:1
c)
1:2
d)
4:1
56.
Simplify 12:36
a)
6:18
b)
3:9
c)
1:3
d)
3:1
57.
Simplify 12:36
a)
6:18
b)
3:9
c)
1:3
d)
3:1
58.
Simplify 20:30
a)
10:15
b)
5:3
c)
3:2
d)
2:3
59.
Simplify 8:32
a)
1:4
b)
4:1
c)
4:16
d)
2:8
60.
For a recipe, Brutus uses 4 cups of sugar for every 5 cups of flour. Which of the following show equivalent ratios for sugar to flour?
a)
4/5=8/10 =12/15
b)
4/5 = 5/6 = 6/7
c)
4/5 = 3/4 = 2/3
d)
4/5=8/15=16/45
61.
A market sells 7 candy bars for $4.20. How much do 8 candy bars cost?
a)
$4.80
b)
$0.60
c)
$33.60
d)
$12.60
62.
8. Scale up or scale down each ratio to find the unknown quantity?
a)
42 miles
b)
72 miles
c)
62 miles
d)
52 miles
63.
Which ratio is equivalent to 5 to 4
a)
25 to 20
b)
10 to 12
c)
4 to 5
d)
15 to 8
64.
Which ratio is equivalent to 12:20
a)
20:12
b)
2:3
c)
3:5
d)
3:10
65.
Which ratio is equivalent to 3:4
a)
12:14
b)
6:8
c)
4:3
d)
20:15
66.
Robby raises Holstein and Jersey cows on his farm in the ratio of 7 : 5. If he has a total of 48 cattle on his farm, how many Holstein cows and how many Jersey cows does he own?
a)
70 Holsteins and 50 Jerseys
b)
28 Holsteins and 20 Jerseys
c)
12 holsteins and 10 Jerseys
d)
21 Holsteins and 15 Jerseys
67.
Henry is reading a book. The ratio of the number of pages he read to the pages he has yet to read is 7 : 3. If the book contains 500 pages in all, how many pages did Henry read and how many pages are left for him to read?
a)
350 pages read : 150 pages are left
b)
250 pages read : 250 pages are left
c)
700 pages read : 300 pages are left
d)
70 pages read : 30 pages are left
68.
A wire that is 60 inches long is cut in two in the ratio 9 : 6. Find the length of each piece of wire.
a)
36 inches and 24 inches
b)
18 inches and 12 inches
c)
30 inches and 30 inches
d)
48 inches and 12 inches
69.
Tomatoes and cucumbers were planted in a vegetable garden in the ratio of 4 : 1. If there are 14 cucumber plants, how many tomato plants are there?
a)
56
b)
14
c)
70
d)
6
70.
Mason went on a fishing trip. He hooked a fluke for every 2 sea robins he caught. What was his total catch, if he caught 8 sea robins?
a)
12 fish
b)
10 fish
c)
24 fish
d)
16 fish
71.
$15 for 5 pairs of socks; $25 for 10 pairs of socks. Are the ratios equivalent?
a)
yes, equivalent
b)
no, not equivalent
72.
Which ratio is equivalent to 3:4
a)
12:14
b)
6:8
c)
4:3
d)
20:15
73.
You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
a)
$8 per pound
b)
$5 per pound
c)
$35 per pound
d)
0.125 pounds per dollar
74.
8. Find the unit rate of $97.50 for 15 pizzas.
a)
$6 per pizza
b)
$82.50 per pizza
c)
$5.50 per pizza
d)
$6.50 per pizza
75.
Sarah wants to buy tomatoes, which is the best deal?
15 kg for $32.25
4 kg for $8.72
15 kg for $32.25
4 kg for $8.72
a)
15 kg for $32.25
b)
4 kg for $8.72
c)
Neither
76.
Identify the best deal.
27 ounces of nacho chips for $3.51
10 ounces of nacho chips for $1.30
27 ounces of nacho chips for $3.51
10 ounces of nacho chips for $1.30
a)
27 ounces of nacho chips for $3.51
b)
10 ounces of nacho chips for $1.30
c)
Neither
77.
Daniel spent $2.00 for 20 pieces of gum. Jude spent $1.50 for 10 pieces of gum. Who got the better deal?
a)
Daniel
b)
Matt
c)
Jude
d)
William
78.
Sargento cheese slices $2.50 for 10 slices
or
Velveeta Cheese slices $3.78 for 9 slices
Find the unit price for each and choose the better deal.
a)
Sargento
b)
Velveeta
79.
Oreos $3.00 for 15 oz.
or
Chips Ahoy $2.50 for 12.5 oz.
Find the unit price of each and choose the better deal.
a)
Oreos
b)
Chips Ahoy
c)
They're equal
80.
Evaluate 8a - b if a = 10 and b = 6
a)
74
b)
38
c)
1000
d)
9000
81.
Evaluate 2a + 4b
if a = 10 and b = 6
if a = 10 and b = 6
a)
20
b)
24
c)
44
d)
4
82.
Evaluate when a = 15:
2(a - 5) + 2
2(a - 5) + 2
a)
22
b)
27
c)
14
d)
7
83.
Write an algebraic expression for "12 more than number".
a)
x + 12
b)
12x
c)
x - 12
84.
5(v + 1)
v = 4
v = 4
a)
26
b)
12
c)
11
d)
25
85.
12 - 4 x 2 =
a)
16
b)
4
c)
8
d)
18
86.
What would be my first step? 3 + 4 x 6 - 4 =
a)
addition
b)
multiplication
c)
subtraction
d)
exponents
87.
(7 + 41) ÷ 2 – 15 =
a)
19
b)
9
c)
25
d)
3
88.
(9 + 23) ÷ (5 - 3) =
a)
16
b)
32
c)
15
d)
12
89.
Which operation is performed FIRST?
(13 - 1) + 4
(13 - 1) + 4
a)
addition
b)
subtraction
c)
multiplication
90.
Simplify the following:
-2 ⋅ (3 + 8 ÷ 4)2
-2 ⋅ (3 + 8 ÷ 4)2
a)
-16
b)
1.375
c)
4
d)
-50
91.
REVIEW QUESTION
Which best describes the graph represented in this table?
Which best describes the graph represented in this table?
a)
proportional
b)
non-proportional
92.
Is the graph proportional or non proportional?
a)
Proportional
b)
Non-Proportional
93.
Does this graph represent a proportional relationship?
a)
No, because it doesn't pass through the origin.
b)
Yes, because it is linear (striaght).
c)
Yes, because it intersects the y axis.
d)
No, because it intersects the x axis.
94.
Which statement best describes the relationship of x and y in the table?
a)
Proportional
b)
Not Proportional
95.
Which graph is proportional?
a)
A
b)
B
c)
C and D
d)
All of the graphs are proportional
96.
Is this table proportional?
a)
Yes
b)
No
97.
Solve for x
a)
x = 1/10
b)
x = 10
c)
x = 4
d)
x = 5
98.
Solve for x
a)
x=6
b)
x =1/6
c)
x = 7
d)
x=9
99.
Solve for x
a)
x = 15
b)
x = 11
c)
x = 1/11
d)
x = 20
100.
Each pumpkin pie serves 6 people. There are 3 pies. How many people can eat pie?
a)
12
b)
18
c)
24
d)
30
101.
a)
2/12
b)
2/24
c)
1/12
d)
1/6
102.
a)
1/3
b)
3
c)
3/9
d)
3/18
103.
a)
1/40
b)
5 1/8
c)
6 3/8
d)
5/8
104.
a)
6 3/20
b)
5 4/9
c)
6 4/15
d)
8 1/4
105.
a)
5/14
b)
2 1/3
c)
-1 1/3
d)
2 1/2
106.
It took Earl ½ hour to do his science homework and ⅓ hour to do his math homework. How long did Earl work on homework?
a)
⅖ hour
b)
⅙ hour
c)
⅚ hour
d)
⅕ hour
107.
The weight of an object on the moon is ⅙ its weight on Earth. If a bowling ball weighs 12½ pounds on Earth, how much would it weigh on the moon?
a)
2 1/12 pounds
b)
11 1/3 pounds
c)
12 1/12 pounds
d)
13 2/3 pounds
108.
What is the difference of these fractions in lowest terms?
a)
5/5
b)
4/1
c)
3/0
d)
3/5
109.
a)
6
b)
4 4/7
c)
57/9
d)
5 1/2
110.
a)
8 1/35
b)
8 12/35
c)
9
d)
8 4/15
111.
What is the scale factor?
a)
4
b)
.25
c)
5
d)
6
112.
The two right triangles below are similar. What is x, the missing side length in triangle DEF?
a)
3.75
b)
9.75
c)
10
d)
12
113.
A model of a flagpole has a scale of 1 in.= 4 ft. If the model pole measures 12 inches, how tall is the actual pole?
a)
16 feet
b)
3 feet
c)
48 feet
d)
9 feet
114.
Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?
a)
14 in
b)
7 in
c)
42 in
d)
56 in
115.
Megan drew a scale drawing of a house and its lot. The scale she used was 1 inch = 2 feet. The backyard is 78 feet long in real life. How long is the yard in the drawing?
____ = ____
____ = ____
a)
39 inches
b)
156 inches
c)
38 inches
d)
157 inches
116.
The two rectangles are scale drawings. What is the measurement of x?
a)
21
b)
1.25
c)
20
d)
4
117.
What is the constant of proportionality?
a)
$3
b)
$4
c)
$2
d)
$9
118.
The constant of proportionality in the equation y = ½x is _______.
a)
x
b)
y
c)
1/2
d)
2
119.
A proportional relationship can be written as an equation in the form ____ = _____ _____
a)
y = k+x
b)
y = k-x
c)
y = kx
d)
y = k/x
120.
Write an equation for this relationship.
a)
y=18x
b)
y=18.50x
c)
y=22.50x
d)
y=22x
121.
What is the Constant of Proportionality?
a)
k=46
b)
k=92
c)
k=0.2
d)
not proportional
122.
Find the slope:
a)
3/4
b)
4/3
c)
-3/4
d)
-4/3
123.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
124.
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
125.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
126.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
127.
What type of slope does the following graph have?
a)
Postive
b)
Negative
c)
Zero Slope
d)
Undefined
128.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
129.
Find the slope.
a)
-2
b)
2
c)
1/2
d)
-1/2
130.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
131.
Is the graph proportional or non-proportional?
a)
Proportional
b)
Non-Proportional
132.
Does this graph represent a proportional relationship?
a)
Yes, because the line is pretty.
b)
No, because the line goes through the origin.
c)
Yes because the line goes through the origin.
d)
No, because the graph is non-proportional.
133.
Determine the slope.
a)
m=3/2
b)
m=6
c)
m=-3/2
d)
m=1/6
134.
How do you calculate slope using a graph?
a)
rise over run
b)
run over rise
c)
look at the y intercept
d)
look at the x intercept
135.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
136.
The line pictured as a(n) ______ slope.
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
137.
The line pictured as a(n) ______ slope.
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
138.
Which best describes the graph represented in this table?
a)
proportional
b)
non-proportional
139.
Is this table proportional or non-proportional?
a)
Proportional
b)
Non-Proportional
140.
Solve the equation:
4p = 16
4p = 16
a)
p = 12
b)
p = 64
c)
p = 3
d)
p = 4
141.
Solve the proportion.
a)
q=2
b)
q=9
c)
q=4.5
d)
q=6
142.
The horizontal axis; usually for categories.
a)
X-axis
b)
grids
c)
legend
d)
Y-axis
143.
The vertical axis; usually for values.
a)
X-axis
b)
grids
c)
Y-axis
d)
legend
144.
Identify the constant of proportionality.
a)
k = 2x
b)
k = 2
c)
k = 4
d)
none (not proportional)
145.
Identify the constant of proportionality.
a)
k = 1/0.45
b)
k = 0.45
c)
k = -0.45
d)
k = -1/0.45
e)
none (not proportional)
146.
Which of the tables above represents a proportional relationship?
a)
a & c
b)
a, b & c
c)
a, c & d
d)
all of them
147.
Which has a greater constant of proportionality according to the graph above?
a)
Avenger
b)
Serendipity
c)
Both have the same
148.
A recipe calls for 3/4 cup of brown sugar for every 3 eggs. What is the unit rate of eggs per cup?
a)
1 cup per egg
b)
2 cups per egg
c)
3 eggs per cup
d)
4 eggs per cup
149.
What is the constant of proportionality?
a)
3
b)
4
c)
2
d)
5
150.
A box of cereal cost $3.59 for 30 oz. How much is the unit rate per ounce? Round to the nearest cent.
a)
11 cents
b)
12 cents
c)
13 cents
d)
10 cents
100 %
