WorksheetsBenchmark 1 Review
Total questions: 122
Worksheet time: 6hrs 29mins
Name
Class
Date
1.
A snake dives towards deeper water at a rate of 14 inches per second. If the snake continues at this rate for a total of 6 seconds, which expression represents this situation?
a)
6(–14)
b)
–6(–14)
c)
6 ÷ 14
d)
6 ÷ (–14)
2.
12 + (–5)
a)
–17
b)
–7
c)
7
d)
17
3.
–37 – 8
a)
–45
b)
–29
c)
45
d)
296
4.
-48 ÷ (-24)
a)
2
b)
0.5
c)
–2
d)
–24
5.
64 ÷ (-8)
a)
8
b)
-8
c)
-9
d)
-7
6.
The high temperature on Monday was −14°F. On Tuesday, the high temperature was 24°F. Which integer represents the difference in high temperatures on these 2 days?
a)
− 38 °F
b)
− 10 °F
c)
10 °F
d)
38 °F
7.
What is the distance from −12 to −5 on a number line?
a)
−17
b)
−7
c)
7
d)
17
8.
Jessica went deep sea diving. She makes the first stop on her descent at 25 meters below the surface of the water. From that point she dives down further, stopping every 5 meters. If she makes 4 additional stops,which number represents her position, relative to the surface of the water?
a)
45
b)
20
c)
‒20
d)
‒45
9.
Convert 2/25 from a fraction to a decimal
a)
2.25
b)
.25
c)
.8
d)
.08
10.
Convert 11/20 from a fraction to a decimal
a)
5.5
b)
.55
c)
.11
d)
.1120
11.
Which question is the SAME as
8 - (-7) ?
8 - (-7) ?
a)
-8 - (-7)
b)
8 + 7
c)
8 - 7
d)
-8 + 7
12.
Simplify the complex fraction shown.
a)
9/40
b)
40/9
c)
10/36
d)
5/18
13.
Simplify the complex fraction.
a)
18
b)
1/18
c)
9/72
d)
1/8
14.
A rational number can be written as a fraction.
a)
True
b)
False
15.
6/7 divided by 3/7
a)
18/7 or 2 4/7
b)
2
c)
3/2 or 1 1/2
d)
1 2/7
16.
Ashley went to Olive Garden and spent $28.45 on dinner. The tax was 8.5%. What is her TOTAL bill after tax?
a)
23.87
b)
33.76
c)
30.87
d)
26.03
17.
A guitar is on sale with a 55% discount. If it regularly sells for $270, what is the amount of discount?
a)
121.50
b)
418.50
c)
148.50
d)
215.00
18.
A stereo that regularly sells for $130 is on sale for 60% off. What is the sale price?
a)
$78
b)
$52
c)
$208
d)
$70
19.
Mr. Sanchez bought 2 magazines for $9.95 each and 1 book for $14.95. If the sales tax is 6%, what is the total cost of Mr. Sanchez’s purchases?
a)
$25.50
b)
$26.39
c)
$35.45
d)
$36.94
20.
A $48 aquarium is on sale at a discount of 24%. What is the sale price of the aquarium?
a)
$11.52
b)
$24
c)
$36.48
d)
$45.60
21.
Find the unit rate.
Jacob walks 3.5 miles in 1.25 hours
Jacob walks 3.5 miles in 1.25 hours
a)
2.5 miles per hour
b)
3.25 miles per hour
c)
3 miles per hour
d)
2.8 miles per hour
22.
If it takes Cevela ½ a can of sauce to cover ¾ of a pizza, compute the unit rate in terms of cans of sauce per pizza.
a)
1¼ cans of sauce per pizza
b)
⅜ cans of sauce per pizza
c)
⅔ cans of sauce per pizza
d)
1½ cans of sauce per pizza
23.
Keragan bikes 34 miles in 2 hours. How many miles can Keragan bike per hour?
a)
68 mi/h
b)
12 mi/h
c)
.059 mi/h
d)
17 mi/h
24.
Determine the unit rate of a marathon runner who travels 5/2 miles in 1/4 hour.
a)
10 mi/h
b)
5/8 mi/h
c)
11/4 mi/h
d)
1/10 mi/h
25.
A carpenter lays 16 square feet of tile in 2/3 of an hour. How many square feet of tile does the carpenter lay per hour?
a)
24 square feet per hour
b)
16 2/3 square feet per hour
c)
32/3 square feet per hour
d)
1/24 square feet per hour
26.
Find the unit rate.
Emily reads ⅝ page in ⅔ minute
Emily reads ⅝ page in ⅔ minute
a)
15/16 pages per minute
b)
10/24 pages per minute
c)
5/8 pages per minute
d)
16/15 pages per minute
27.
For every 3 hours she works, Alexia earns $20.40.
What is her unit rate in dollars per hour?
What is her unit rate in dollars per hour?
a)
$7 per hour
b)
$0.15 per hour
c)
$6.80 per hour
d)
$17.40 per hour
28.
Find the unit rate of 624 calories in 3 servings.
a)
1,872 calories per serving
b)
208 calories per serving
c)
624 calories per serving
d)
621 calories per serving
29.
Find the unit rate: $3.60 for 3 pounds of apples. How much does it cost for 1 pound of apples?
a)
$1.00 per pound
b)
$3.60 per pound
c)
$1.20 per pound
d)
$1.10 per pound
30.
Eric drove 548 miles in 4 hours. What was the average speed per hour?
a)
137
b)
137 miles
c)
137 miles per hour
31.
A store sees 120 customers in 8 hours. What is the unit rate (in customers per hour)?
a)
16 customers per hour
b)
15 customers per hour
c)
12 customers per hour
d)
20 customers per hour
32.
Jada can read ⅗ of a book in ¼ of an hour. How long would it take her to read one whole book?
a)
2 and 2/5 books per hour
b)
2 and 2/5 hours per book
c)
5/12 of an hour per book
d)
5/12 of a book per hour
33.
Ben drinks tea at a relatively quick rate. He drinks 1/2 liter of tea every 2/3 of an hour. How much tea does Ben drink per hour?
a)
1 and 1/3 of an hour per liter
b)
3/4 of a liter per hour
c)
1 and 1/3 liter per hour
d)
3/4 of an hour per liter
34.
What is the constant of proportionality (in miles per hour) based on the table?
a)
45
b)
90
c)
135
d)
2
35.
Is this graph proportional?
a)
Yes
b)
No
36.
What is the constant of proportionality for this table?
a)
1/9
b)
9
c)
8
37.
Write an equation for this relationship.
a)
y=18x
b)
y=18.50x
c)
y=22.50x
d)
y=22x
38.
What does k represent in the equation y = kx?
a)
konkrete kids
b)
constant of proportionality
c)
kangaroos
d)
krispy kreme
39.
If Reynaldo saves $48 in 8 days, how much could he save in two weeks?
a)
$102
b)
$84
c)
$56
d)
$6
40.
The constant of proportionality in the equation y = ½x is _______.
a)
x
b)
y
c)
1/2
d)
2
41.
The constant of proportionality in the equation y = 4x is ________
a)
y
b)
4
c)
x
d)
=
42.
When we compare variables, we compare them as _____ over ______.
a)
peanut butter over jelly
b)
x over y
c)
rate over one
d)
y over x
43.
The constant of proportionality can be found by finding the __________ _____________.
a)
unit rate
b)
ratio rate
c)
proportion answer
d)
rational number
44.
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
45.
Is this table proportional?
a)
Yes
b)
No
46.
Is this graph proportional?
a)
Yes
b)
No
47.
What is the constant of proportionality (in miles per hour) based on the table?
a)
45
b)
90
c)
135
d)
2
48.
Determine the constant of proportionality for the given table.
a)
1/8
b)
16
c)
8
d)
2
49.
8 balls cost 16 dollars. How much do 32 balls cost?
a)
64
b)
56
c)
38
d)
42
50.
Movie ticket sales are as follows:
Adult: 20 tickets for $250
Child: 15 tickets for $71.25
Senior: 5 tickets for $37.50
How much does one (1) CHILD ticket cost?
Adult: 20 tickets for $250
Child: 15 tickets for $71.25
Senior: 5 tickets for $37.50
How much does one (1) CHILD ticket cost?
a)
$4.75
b)
$7.12
c)
$56.25
d)
$12.50
51.
Movie ticket sales are as follows:
Adult: 20 tickets for $250
Child: 15 tickets for $71.25
Senior: 5 tickets for $37.50
How much does one (1) SENIOR ticket cost?
Adult: 20 tickets for $250
Child: 15 tickets for $71.25
Senior: 5 tickets for $37.50
How much does one (1) SENIOR ticket cost?
a)
$7.00
b)
$0.13
c)
$32.50
d)
$7.50
52.
If a snail can move 3/10 of a meter every 1/12 hour, what is the speed of the snail, in meters per hour?
a)
1/40
b)
5/18
c)
1 1/2
d)
3 3/5
53.
A painter used 1 1/2 gallons of paint to paint 3/4 of a room. At this same rate, how many gallons will it take to paint the whole room?
a)
1/2
b)
1 1/8
c)
2
d)
6
54.
Madeline ran 21.7 miles in 7 hours. What is the unit rate?
a)
21.7 miles per hour
b)
3.1 miles per hour
c)
.32 miles per hour
d)
21.7
7
7
55.
What is the unit rate for the rain fall?
a)
2 cm per hour
b)
1 cm per hour
c)
1/2 cm per hour
d)
4 cm per hour
56.
Which graph shows a proportional relationship?
a)
A
b)
B
c)
C
d)
D
57.
What is the unit rate in this proportional relationship?
a)
60 miles/1 hour
b)
120 miles/ 2 hours
c)
1 mile/ 1 hour
58.
Which situation results in a final value of zero?
a)
After eating 2 pieces of fruit, each containing 100 calories, an athlete burned 100 calories while running.
b)
A person started with $125.00 and then spent $45.00 at one grocery store and $70.00 at another grocery store
c)
A submarine was 250 meters below sea level. In one hour, the submarine went up 200 meters and then went up 50 meters.
d)
The price of a gallon of juice was $3.00. In one week, the price of a gallon of juice increased $0.50 and then decreased $0.50
59.
Which statement models this equation?
11 + ( − 11 ) = 0
11 + ( − 11 ) = 0
a)
William purchased 11 oranges and 11 apples.
b)
Ms. Vela had 11 pennies in a jar after taking out 11 pennies.
c)
Sheila had 11 marbles. She gave 4 to Bobby, 5 to Carla, and 2 to Jenna.
d)
Mr. Carlson drove 11 miles to work. He then drove 10 miles back home.
60.
Which situation results in a final value of exactly zero?
a)
A student earned $7.50 for each of 8 hours of work. He used $60 of this money to buy school supplies.
b)
The temperature outside was 15° below 0 at 7:00 a.m. The temperature rose 3° in each of the next 4 hours.
c)
A scuba diver descended for 2.4 minutes at a rate of 30 feet per minute. The diver ascended for 1.2 minutes at a rate of 15 feet per minute.
d)
A baker received an order to bake 120 cupcakes. The baker completed the order by baking 24 cupcakes every 30 minutes over a period of 5 hours.
61.
Which situation results in a final value of exactly zero?
a)
A student earned $7.50 for each of 8 hours of work. He used $60 of this money to buy school supplies.
b)
The temperature outside was 15° below 0 at 7:00 a.m. The temperature rose 3° in each of the next 4 hours.
c)
A scuba diver descended for 2.4 minutes at a rate of 30 feet per minute. The diver ascended for 1.2 minutes at a rate of 15 feet per minute.
d)
A baker received an order to bake 120 cupcakes. The baker completed the order by baking 24 cupcakes every 30 minutes over a period of 5 hours.
62.
Jessica went deep sea diving. She makes the first stop on her descent at 25 meters below the surface of the water. From that point she dives down further, stopping every 5 meters. If she makes 4 additional stops,which number represents her position, relative to the surface of the water?
a)
45
b)
20
c)
‒20
d)
‒45
63.
What is the opposite of 32?
a)
–32
b)
− 1 9
c)
1 9
d)
9
64.
Wendy received a bill for $25 from a magazine club. She paid the magazine club $25. This can be expressed by the following equation.
25 + ( − 25 ) = 0 Which mathematical property justifies that the balance in her account is $0?
25 + ( − 25 ) = 0 Which mathematical property justifies that the balance in her account is $0?
a)
additive inverse
b)
distributive property
c)
multiplicative inverse
d)
additive property of zero
65.
Bob lost 5 points on page one of his math test and he lost 9 points on page two of his math test. Which equation best describes Bob progress on his math test?
a)
5 + 9 = 14
b)
-5 + -9 = -4
c)
-5 + -9 = -14
d)
5 + -9 = -4
66.
A football team gained 9 yards on one play and then lost 22 yards on the next. Write a sum of integers to find the overall change in field position.
a)
-9 + (-22) = -13
b)
9 + (-22) = 13
c)
9 + (-22) = -13
d)
none
67.
Points R and S are shown on this number line.
Which expression is equivalent to the distance between R and S?
a)
-4 + 2
b)
-4 - 2
c)
|-4 + 2|
d)
|-4 - 2|
68.
-2 + 4
a)
-2
b)
2
c)
0
d)
-4
69.
(1/2) - (-3/4)
a)
5/4
b)
-3/2
c)
10/4
d)
0
70.
-5 -(-17)
a)
-12
b)
12
c)
-22
d)
22
71.
- 62 + - 17 + - 2
a)
81
b)
-81
c)
43
d)
-43
72.
19 + 7 + 6
a)
20
b)
-32
c)
32
d)
18
73.
- 87 + -36
a)
123
b)
-123
c)
55
d)
-55
74.
42 + 18
a)
-60
b)
24
c)
-24
d)
60
75.
- 8,347 + - 2,104 + - 493
a)
10,944
b)
-10,944
c)
9,958
d)
-9,958
76.
- 2.5 + - 4.1
a)
-1.6
b)
1.6
c)
-6.6
d)
6.6
77.
14.2 + 8.5
a)
20
b)
22.7
c)
99.2
d)
150.5
78.
- 1/4 + - 2/4
a)
- 3/8
b)
3/8
c)
3/4
d)
- 3/4
79.
- 5/6 + - 3/8
a)
8/14
b)
- 8/14
c)
- 29/ 24 (or -1 5/24)
d)
29/ 24 (or 1 5/24)
80.
-1 1/4 + -2 1/2 =
a)
- 3 3/4
b)
- 3 1/4
c)
-2 3/4
d)
-3 1/2
81.
6 3/4 - -2 4/5=
a)
9 11/20
b)
-9 11/20
c)
4 11/20
d)
-4 11/20
82.
-2 1/4 - (-8 2/5)
a)
6 3/20
b)
7
c)
10 3/9
d)
not listed
83.
The temperature was 3* C on Monday and was 7.5 degrees lower the next day. What was the temperature on Tuesday?
a)
10.5* C
b)
4.5* C
c)
-4.5* C
d)
-10.5* C
84.
Write .506 as a percent.
a)
5.06%
b)
506%
c)
50.6%
d)
500.6%
85.
Sarah earns $20 a day working after school. She spent 30% of her daily earnings on Monday. How much money did she spend on Monday?
a)
$1.40
b)
$6
c)
$0.60
d)
$14
86.
200 children attended the school play. Of the total attendance, 40% were boys. How many girls attended the school play?
a)
800
b)
180
c)
80
d)
120
87.
Today, you have a 20% off of the price coupon for Best Buy. If you buy an XBox game that costs $65.00, how much money will you be saving by using your coupon?
a)
$13.00
b)
$15.00
c)
$7.00
d)
$42.00
88.
Victoria is going to buy a new CD. It is on sale for 20 % off $19.99. How much money does she save?
a)
$15.99
b)
$20.19
c)
$23.99
d)
$3.99
89.
A ticket agency charges a 9.5% fee on all tickets sold. If a ticket costs $40, what is the fee?
a)
$3.80
b)
$9.50
c)
$30.80
d)
$30.50
90.
Of the 200 students at your school, 75% live more than a mile from the school. How many students live less than a mile from the school? (Read carefully!)
a)
150
b)
50
c)
100
d)
25
91.
Bonnie took a history test and scored 21 out of 84 correct. What percentage did she get right?
a)
25%
b)
75%
c)
4%
d)
21%
92.
A factory made 125 packs of gum. 32% of the packs contained mint-flavored gum. How many packs of mint gum did the factory make?
a)
85 packs
b)
32 packs
c)
40 packs
d)
40%
93.
a)
2.6785
b)
26.785
c)
-2.6785
d)
-26.785
94.
a)
-0.32
b)
0.32
c)
3.2
d)
-3.2
95.
a)
-10.65
b)
-106.5
c)
10.65
d)
106.5
96.
a)
-5.27
b)
3.57
c)
-3.57
d)
5.27
97.
a)
-6/12
b)
-5/12
c)
5/12
d)
-5/7
98.
a)
-1 1/2
b)
1 1/2
c)
3 17/20
d)
-3 17/20
99.
a)
3
b)
10 14/15
c)
-3
d)
-10 14/15
100.
What is the decimal equivalent of ¾
a)
3.4
b)
75.0
c)
.75
d)
.12
101.
Is 4/25 a terminating or repeating decimal?
a)
Terminating
b)
Repeating
102.
Is 8/11 a terminating or repeating decimal?
a)
Repeating
b)
Terminating
103.
What is the decimal equivalent of -5/9?
a)
.5̅
b)
1.8
c)
-.5̅
d)
-1.8
104.
⅚÷ (-½)
a)
-5/3
b)
5/12
c)
-5/12
d)
5/3
105.
Find the quotient
-3.6 ÷ .06
-3.6 ÷ .06
a)
-0.6
b)
6
c)
-60
d)
600
106.
Divide.
a)
-1/10
b)
-5/8
c)
-2/20
d)
5/8
107.
Devon had his two friends over for pizza. Devon ate 1/4 of the pizza. One of his friends ate 3/8 of the pizza and the other friend ate 1/8 of the pizza. How much of the pizza is left?
a)
1/4
b)
1/8
c)
1/3
d)
1/5
108.
Joe went scuba diving. He descended down to 5 feet below sea level, stopped, then went down another 20 feet. What is Joe's level?
a)
25 feet
b)
-15 feet
c)
15 feet
d)
-25 feet
109.
Mr. Smith has an account balance of -$275.78. He deposits $539.20 into his account. What is Mr. Smith's account balance now?
a)
$813.98
b)
$263.42
c)
$539.78
d)
$345.98
110.
Which graph is proportional?
a)
A
b)
B
c)
C and D
d)
All of the graphs are proportional
111.
Does the equation show a proportional relationship?
a)
Yes
b)
No
112.
Which best describes the equation?
y = 75x
y = 75x
a)
Proportional
b)
Nonproportional
113.
Why does this graph show a non-proportional relationship?
a)
Because it is proportional
b)
It goes through the origin
c)
It does not go through the origin
d)
It is a straight line
114.
What is the constant of Proportionality?
a)
5
b)
x
c)
⅝
d)
y
115.
What is the constant of proportionality?
y = 3.5x
y = 3.5x
a)
3
b)
3.75
c)
4
d)
3.5
116.
Lynnette can wash 95 cars in 5 days. How many cars does she wash each day?
a)
475 cars per day
b)
19 cars per day
c)
.05 cars per day
d)
15 cars per day
117.
Henry can write 5 ¼ pages of his novel in 3 hours. How many pages does he write per hour?
a)
15.25 pages per hour
b)
15.75 pages per hour
c)
1.75 pages per hour
d)
not here
118.
Ken can walk 40 dogs in 8 hours. Determine how many dogs he can walk in one hour.
a)
5 hours per dog
b)
5 dogs per hour
c)
320 dogs per hour
d)
not here
119.
At the market, 7 apples cost $4.55. What is the cost per apple?
a)
1.54 apples per dollar
b)
1.54 dollars per apple
c)
$0.65 per apple
d)
not here
120.
A pair of sandals costs $10.50. There is a 7% sales tax. What is the total cost of the sandals?
a)
$.74
b)
$10.50
c)
$12.78
d)
$11.24
121.
A women put $480 into savings account of one year. The rate of interest on the account was 4.6% How much was the interest for the year in dollars and cents? What is the new total of the bank account after she earns the interest?
a)
$22.08 interest / $502.08 new total
b)
$37.70 interest / $617.70 new total
c)
$45.00 interest / $543.67 new total
d)
$617.70 interest / $37.70 new total
122.
The movie theater has 250 seats. 225 seats were sold for the current showing. What percent of seats are sold?
a)
10%
b)
20%
c)
80%
d)
90%
100 %
