WorksheetsBerner Math Final Review #1
Total questions: 100
Worksheet time: 5hrs 16mins
Name
Class
Date
1.
2 times the difference of t and 11
a)
2t - 11
b)
2(t - 11)
c)
2(t / 11)
d)
2 x t - 11
2.
4 divided by the sum of a number and 12
a)
4 / n + 12
b)
4 / 12n
c)
4 / (n + 12)
d)
(4 / n) + 12
3.
six less than the number of men
Let m = number of men
Let m = number of men
a)
6 - m
b)
m - 6
4.
x/8 = 5
a)
30
b)
35
c)
40
d)
45
5.
a - 27 = 41
a)
a = 68
b)
a = -41/27
c)
a = -1107
d)
a = 14
6.
x + 12 = 20
a)
x = 32
b)
x = -32
c)
x = 8
d)
x = -8
7.
You spent less than 5 hours on homework each night.
a)
x > 5
b)
x < 5
c)
x ≤ 5
d)
x ≥ 5
8.
What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.
Robyn had some video games then bought 4 more. Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
9.
Which expression shows the sum of one-half of x and y?
a)
1/2(x+y)
b)
(1/2)x + y
c)
(1/2)y + x
d)
(1/2)y + (1/2)x
10.
Write an algebraic expression for:
6 minus a number
6 minus a number
a)
n - 6
b)
6 - n
c)
6n
d)
6 + n
11.
The ratio of 6th graders to 7th graders at a basketball game is 4:1. If there are eight 7th graders, how many 6th graders are there?
a)
28
b)
16
c)
8
d)
32
12.
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
13.
Brutus ran 4 miles in 20 minutes and continues running this rate for 1 hour. Birdie ran 5 miles in 30 minutes and continues running at this rate for 1 hour...
How many more miles did Brutus run than Birdie?
How many more miles did Brutus run than Birdie?
a)
2 miles
b)
22 miles
c)
1 miles
d)
120 miles
14.
7 + (12-3)2
a)
256
b)
88
c)
10
d)
13
15.
2 + (92 - 4)
a)
16
b)
77
c)
79
16.
(82 ÷ 2) × 3 – 17
a)
206
b)
100
c)
106
d)
5
17.
What are the steps to solve the following expression?
50 − 16 ÷ 2 ∗ (12 + 4)
50 − 16 ÷ 2 ∗ (12 + 4)
a)
parentheses
multiplication
subtraction
division
multiplication
subtraction
division
b)
parentheses
multiplication
division
subtraction
multiplication
division
subtraction
c)
parentheses
division
multiplication
subtraction
division
multiplication
subtraction
d)
parentheses
subtraction
multiplication
division
subtraction
multiplication
division
18.
What would be my first step? 3 + 4 x 6 - 4 =
a)
addition
b)
multiplication
c)
subtraction
d)
exponents
19.
What would be the second step in this problem? (3 + 4) 9 + 3 =
a)
parenthesis
b)
multiplication
c)
addition
d)
exponent
20.
What is the volume of this rectangular prism?
a)
60 cubic centimeters
b)
15 cubic centimeters
c)
20 cubic centimeters
d)
6 cubic centimeters
21.
Find the volume of the rectangular prism. How many unit cubes would it take to make the rectangular prism?
a)
13 cubic units
b)
13 square units
c)
48 cubic units
d)
24 cubic units
22.
Order from least to greatest:
[10, -5, 3, 16, -1, 0, 1]
[10, -5, 3, 16, -1, 0, 1]
a)
-1, -5, 0, 1, 3, 10, 16
b)
16, 10, 3, 1, 0, -1, -5
c)
-5, -1, 0, 1, 3, 10, 16
d)
0, -1, 1, 3, -5, 10, 16
23.
Order from least to greatest:
[8, 4, -5, 12, -14, 3]
[8, 4, -5, 12, -14, 3]
a)
3, 4, -5, 8, 12, -14
b)
-14, -5, 3, 4, 8, 12
c)
12, -14, -5, 3, 4, 8
d)
-5, -14, 3, 4, 8, 12
24.
What is 30% of 80?
a)
42
b)
24
c)
30
d)
2400
25.
In a video store, a DVD that sells for $15 is marked, "10% off". What is the sale price of the DVD?
a)
$14.50
b)
$13.50
c)
$16.50
d)
$1.50
26.
At a sale, shirts were sold for $15 each. This price was 80% of their original price. What was the original price?
a)
$12
b)
$16
c)
$18.75
d)
$23.12
27.
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
28.
Which is the better buy? a 12 pack of Coke for $3.50 or a six pack of Coke for $1.80?
a)
The 12 pack of Coke
b)
The 6 pack of Coke
c)
Neither
d)
They are the same
29.
For 6 people to enter the park, it cost $36. How much would it cost for 9 people?
a)
$45.50
b)
$48.00
c)
$54.00
d)
$52.50
30.
The bakery makes 6 pies. Each slice is 1/8 of the whole pie. How many slices are there?
a)
1/48 slices
b)
48 slices
31.
Where is T?
a)
(-3, -2)
b)
(-2,-3)
c)
(3,2)
d)
(-3,2)
32.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
33.
How many minutes will it take Kevin to read 5 pages based on the table?
a)
8 min
b)
1 min
c)
4 min
d)
2 min
34.
How much flour would he need if he were baking 6 batches of cookies?
a)
54 lbs
b)
36 lbs
c)
48 lbs
d)
52 lbs
35.
What is the missing number in the ratio table?
a)
21
b)
24
c)
27
d)
25
36.
Match the graph with its inequality. hint: don't be tricked by the variable on the right.
a)
11 < a
b)
11 > a
c)
11 ≤ a
d)
11 ≥ a
37.
Which inequality matches the graph?
a)
A
b)
B
c)
C
d)
D
38.
Which inequality matches the graph?
a)
A
b)
B
c)
C
d)
D
39.
Which inequality is represented by this graph?
a)
2.75 > d
b)
2.75 < d
c)
2.75 ≥ d
d)
2.75 ≤ d
40.
Pick the correct letter for:
6 > x
6 > x
a)
A
b)
B
c)
C
d)
D
41.
You can spend no more than 20 dollars on your mom's birthday present.
a)
x > 20
b)
x < 20
c)
x ≤ 20
d)
x ≥ 20
42.
you must be at least 48 inches to ride the roller coaster.
a)
x > 48
b)
x < 48
c)
x ≤ 48
d)
x ≥ 48
43.
You and your friends ate more than 8 slices of pizza at the party.
a)
x > 8
b)
x < 8
c)
x ≤ 8
d)
x ≥ 8
44.
What is the correct step to solve for the variable?
15 = m - 5
15 = m - 5
a)
add 15 to both sides
b)
add 5 to both sides
c)
subtract 15 from both sides
d)
subtract 5 from both sides
45.
How would you solve this equation? 9x=153?
a)
multiply by 9 on both sides
b)
divide by 9 on both sides
c)
add 9 to both sides
d)
subtract 9 from both sides
46.
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.
47.
Summarize how to solve the equation.
z + 8 = 23
z + 8 = 23
a)
Subtract 23 from both sides of the equation.
b)
Subtract 8 from both sides of the equation.
c)
Throw z away!
d)
Add 8 to both sides of the equation.
48.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
d)
x - 10 = 15
49.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
How should you show your work to isolate the variable and solve the equation?
a)
Add 62 to each side.
b)
Subtract 62 from each side.
c)
Multiply each side by 62.
d)
Add 123 to each side.
50.
I open a saving account with $200 and plan to put $50 per month in the account.
Which expression represents this situation after x number of months?
Which expression represents this situation after x number of months?
a)
200 + 50x
b)
200x + 50
c)
200 + x + 50
51.
What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.
Robyn had some video games then bought 4 more. Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
52.
My brother is 2 years older than I am. He is 18 years old. Which equation represents how old I am?
a)
m - 2 = 18
b)
m + 2 = 18
c)
2m = 18
d)
m/2 = 18
53.
3(w + 4) = 3w + 12 is an example of...
a)
Inverse Property
b)
Distributive Property
c)
Multiplicative Inverse
d)
Associative Property
54.
Find an equivalent expression using the associative property:
7 + ( 8 + 9)
7 + ( 8 + 9)
a)
7 + 8 + 9
b)
8 + ( 7 + 9)
c)
(7 + 8 ) + 9
d)
7 + 10
55.
Which property is represented?
3 + (15 + 4) = (3 + 15) + 4
3 + (15 + 4) = (3 + 15) + 4
a)
Commutative Property
b)
Associative Property
c)
Distributive Property
56.
8 x 5 = 5 x 8
a)
Commutative Property of Addition
b)
Commutative Property of Multiplication
c)
Distributive Property
d)
Associative Property of Multiplication
57.
Select the choice that represents the Commutative Property of Multiplication being used.
a)
8 + 2 = 2 + 8
b)
7 x 1 = 7
c)
7 + 0 = 7
d)
7 x 6 = 6 x 7
58.
(1 + 3) + 4 = 1 + ( 3 + 4)
a)
Commutative Property of Multiplication
b)
Commutative Property of Addition
c)
Associative Property of Multiplication
d)
Associative Property of Addition
59.
Write an integer for each situation.
a profit of $12
a profit of $12
a)
120
b)
-120
c)
12
d)
1.2
60.
22°F below zero
a)
-22
b)
2
c)
-2
d)
22
61.
If you are at SEA LEVEL, you are at
______on a number line.
______on a number line.
a)
Positive
b)
Negative
c)
Zero
62.
What is the opposite of -9?
a)
9
b)
1/9
c)
0
d)
-9
63.
Find the Absolute Value of -18
a)
18
b)
-18
c)
36
d)
-36
64.
2/3 ÷ 1/12
a)
2/36
b)
2/12
c)
8
d)
4
65.
5/6 ÷ 5/4
a)
1 1/3
b)
5/24
c)
1/6
d)
2/3
66.
What is the quotient of these fractions in lowest terms?
a)
6/40
b)
6/10
c)
3/5
d)
12/20
67.
Mrs. Silverstein bought 3 cakes for a birthday party. She cuts each cake into quarters (1/4) and plans to serve each guest one quarter of a cake. How many guests can she serve with all of her cakes?
a)
1/12
b)
12
c)
20
d)
36
68.
LaShawn has 30 submarine sandwiches. How many people can he feed if everybody eats 1/3 of a sandwich?
a)
9
b)
10
c)
29
d)
90
69.
Multiply these fractions
a)
2 / 18
b)
2 / 7
c)
1 1/3
d)
2 / 1.6
70.
What is 2/3 + 5/3 in simplest form?
a)
7/3
b)
7/6
c)
1
d)
2 1/3
71.
1½ x 3⅓
a)
⅕
b)
5
c)
⅖
d)
9
72.
Elijah earn $200 for 8 hours of work. What is the unit rate (in dollars per hour)?
a)
$50 per hour
b)
$12 per hour
c)
$192 per hour
d)
$25 per hour
73.
Alycia earned $20.40 in 3 hours. What is her unit rate in dollars per hour?
a)
$7 per hour
b)
$6 per hour
c)
$6.80 per hour
d)
$17.40 per hour
74.
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
75.
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
76.
Which expression is equivalent to 4(x + 6)?
a)
4x + 6
b)
4x + 24
c)
x + 24
d)
10x + 24
77.
Which expression is equivalent to 6(2x - 3)?
a)
12x - 3
b)
8x -9
c)
8x - 18
d)
12x - 18
78.
Which expression is equivalent to 15x + 10 - 6x - 1?
a)
9x + 9
b)
18x
c)
15x - 3
d)
9x + 11
79.
Which expression is equivalent to 3x + 5 + 7x + 2?
a)
10x + 7
b)
17x
c)
17
d)
15x + 2
80.
If there are 120 boys in the group, how many boys and girls are there TOTAL? Use the tape diagrams to solve.
a)
150
b)
270
c)
250
d)
360
81.
There are 3 puppies, 6 kittens, and 11 bunnies. What is the ratio of bunnies to puppies?
a)
11:3
b)
11:6
c)
3:6
d)
11:9
82.
Which interval has 400 employees?
a)
33-43
b)
0-10
c)
77-87
d)
66-76
83.
How many students scored between a 86 and a 90?
a)
1
b)
3
c)
6
d)
10
84.
How many people watched between 6 and 10 hours of TV last week?
a)
31
b)
22
c)
15
d)
35
85.
Hilbert burns 120 calories per 30 minutes of weight training. Complete the table to chart his calorie expenditure for different amounts of time. What is value of b?
a)
b= 80
b)
b= 40
c)
b= 4
d)
b= 240
86.
1. BAKING A recipe for 1 apple pie calls for 6 cups of sliced apples. How many cups of sliced apples are needed to make 4 apple pies?
a)
24
b)
32
c)
12
d)
20
87.
At a school fundraiser for every 3 boxes of chocolate sold you earn 15 points. If you were to sell 7 boxes, how many points would you have earned?
a)
35
b)
33
c)
31
d)
30
88.
A builder could get 6 sheets of sheetrock for $10. If he bought 15 sheets, how much money would he have spent? Use a double number line to solve.
a)
20
b)
21
c)
25
d)
30
89.
In a bag of Jolly Ranchers, the ratio of blue to red is 3 to 4. If I have a TOTAL of 56 Jolly Ranchers, how many of them are blue? Solve with a tape diagram.
a)
12
b)
28
c)
32
d)
24
90.
a3 = 8
a)
a = 3
b)
a = 4
c)
a = 2
d)
a = 8
91.
If g is 4 then 5 x g =
a)
25
b)
5
c)
4
d)
20
92.
Solve:
3(x - 2) = 18
3(x - 2) = 18
a)
6.7
b)
4
c)
8
d)
-4
93.
Solve the proportion.
a)
q=2
b)
q=9
c)
q=4.5
d)
q=6
94.
What shape is this?
a)
Rectangle
b)
Rectangular Prism
c)
Triangular Prism
d)
Rectangular Pyramid
95.
Find the surface area of the rectangular prism.
a)
77 cm2
b)
17 cm2
c)
7 cm2
d)
70 cm2
96.
A square pyramid is covered with decorative wrapping paper with no overlap. The net of the box is shown on the right. How many square centimeters of wrapping paper are needed to cover the surfaces of the box?
a)
108 cm2
b)
324 cm2
c)
180 cm2
d)
432 cm2
97.
What is the area of this figure?
a)
40 square units
b)
40 units
c)
40
98.
Find the area of the shape.
a)
93 in2
b)
95 in2
c)
103 in2
d)
143 in2
99.
Find the area of the shape.
a)
28 in2
b)
112 in2
c)
124 in2
d)
36 in2
100.
What is the area of this triangle?
a)
12 sq. cm.
b)
6 sq. cm.
c)
12 cm
d)
6 cm
100 %
