WorksheetsMathematics 7- Benchmark2 Practice Review#2
Total questions: 40
Worksheet time: 21mins
Which number line models the sum of 0.5 + (−2) correctly?
Number line with arrow from 0.5 to -1.5
Number line with arrow from 0.5 to -1.5 and back to 0.5
Number line with arrow from 0.5 to -1.5 and back to 0
Number line with arrow from 0.5 to -1.5 and back to -2
An architect creates a scale drawing of a rectangular porch. In the scale drawing, the length of the porch is 3 centimeters. The actual length of the porch is 114 feet. Which statement is true?
The scale drawing represents 38 feet with 1 centimeter.
The scale drawing represents 1 foot with 38 centimeters.
The scale drawing represents 1 foot with 1/114 centimeter.
The scale drawing represents 1/114 foot with 1 centimeter.
What is the decimal equivalent of 2/3?
0.66
0.6̅
2.3
2.3̅
A teacher writes the expression 28.2 + 17.5(41.25 ÷ -5) on the board. The table shows how one student simplifies the expression. Which statement is true?
The student makes a mistake between the Given and Step 1.
The student makes a mistake between Step 1 and Step 2.
The student makes a mistake between Step 2 and Step 3.
The student simplifies the expression correctly.
What is the value of 17 - (-21)?
357
38
-4
-357
Consider the expression. 12(-72) + 41(-3 - 32). What is the value of the expression?
-2,299
-858
571
2,437
What is the value of 17 x (-21)?
(a)
What is the decimal equivalent of -5/9. Round it to the nearest hundredths.
(a)
What is the value of 34 + 3.5(-44 ÷ 2)?
(a)
A teenager puts $50 into an investment account in January. If by December the balance in the account increases by 17%, what is the amount of money in the account in December, in dollars and cents?
(a)
(a)
A new restaurant offers a 14% discount off a customer’s total bill to the first 500 customers to eat at the restaurant. If the first customer’s total bill is $38.50, how much does the customer owe after the restaurant applies the discount, in dollars and cents?
(a)
y = 3x
y = 4x
y = 5x
y = 6x
The temperature at dawn was –3° Fahrenheit. The temperature at noon is 15° Fahrenheit. Which statement is true?
The temperature decreased 12° Fahrenheit from dawn to noon.
The temperature decreased 18° Fahrenheit from dawn to noon.
The temperature increased 12° Fahrenheit from dawn to noon.
The temperature increased 18° Fahrenheit from dawn to noon.
Which situation results in a solution of 0?
On Friday morning, a student earns $35 mowing lawns. On Friday night, the student spends the $35 while out with friends. How much of the money that the student earns from mowing lawns is left?
A vacationer goes scuba diving and is at a depth of –30 yards during the dive. Later in the day, the vacationer hikes up to a lookout 30 yards above the ocean. What is the vertical distance between the diving position and the lookout position?
A student walks 5 blocks west to school then another 10 blocks west after school. How far is the student from the starting location?
A student owes a friend $7.50. If the student borrows $7.50 from another friend, how much does the student owe in total?
The circle graph shows the favorite subjects of 350 randomly selected middle school students. How many of the students who were surveyed selected language arts as their favorite subject?
20 students
45 students
55 students
70 students
The total amount of money a babysitter earns, t, in h hours can be represented by the equation t = 15h. What is the constant of proportionality of the equation?
5
7.5
15
30
A plumber completes 1/8 of a job in 2/9 hour. At this rate, how long does it take the plumber to complete the job?
4 5/8 hours
1 7/9 hours
9/16 hour
1/36 hour
A pool manager mixes 2 3/4 gallons of water with 1 1/4 gallons of a chemical to get a particular cleaning solution for a swimming pool. The pool manager follows the cleaning solution recipe and makes a large batch of the solution using a total of 16 gallons of the chemical. How many total gallons of water does the pool manager use in the large batch?
7 3/11 gallons
20 gallons
35 1/5 gallons
51 1/5 gallons
A researcher found that a bird population in a forest declined by exactly 29% from 1970 to 2021. If the forest had a population of 56,800 birds in 1970, what was the bird population in the forest in 2021?
1,059 birds
16,472 birds
40,328 birds
73,272 birds
A trash can has a circular base with a radius of 11 centimeters. Approximately how much space does the base of the trash can occupy when on the floor? (Use 3.14 as an approximation of pi.)
34.54 cm²
69.08 cm²
379.94 cm²
1,519.76 cm²
The table shows the relationship between the total cost, y, and gallons of gasoline, x, at a gas station.
The relationship is not proportional because 8.4 + 33.6 ≠ 42.
The relationship is not proportional because the ratios of y to x vary.
The relationship is proportional because 15 - 12 = 3.
The relationship is proportional because the ratios of y to x are equivalent.
A group of children dig a hole in the sand to make a moat around a sandcastle. The children start digging at an elevation of -0.5 feet. The children dig deeper into the sand so that the elevation of the bottom of the moat changes at a rate of -1.5 feet per hour for 3 hours, they take a break, and then they dig at a rate of -2 feet per hour for 1 hour before completing the moat. What is the final elevation of the bottom of the moat?
-16 feet
-15.5 feet
-7 feet
-6.5 feet
The graph shows the relationship between the number of packages delivered, y, and the number of days, x, a delivery driver works. Which statement is true?
The point (0,0) represents that the driver delivers 0 packages working for 0 days.
The point (1,37.5) represents that the driver delivers 1 package working for 37.5 days.
The point (2,75) represents that the driver delivers 77 packages working for 2 days.
The point (4,150) represents that the driver delivers 4 packages working for 154 days.
A student measures the diameter of a circular cake by cutting a string to the exact length of the diameter. Which statement about how many of those string lengths are needed to go around the circumference of the circle is true?
A little less than 2 of the strings are needed to go around the circumference of the circle.
A little less than 3 of the strings are needed to go around the circumference of the circle.
A little more than 2 of the strings are needed to go around the circumference of the circle.
A little more than 3 of the strings are needed to go around the circumference of the circle.
The table shows the time, in hours, it takes a potter to make various items. Which statement about how many hours it takes the potter to make 3 vases, 4 mugs, and 2 bowls is true?
The expression 3(2.5) + 4(1.25) + 2(1.75) can be used to find that it takes the potter 16 hours.
The expression 3(2.5) + 4(1.4) + 2(1.34) can be used to find that it takes the potter 15.78 hours.
The expression 6(2.5 + 1.25 + 1.75) can be used to find that it takes the potter 33 hours.
The expression 6(2.5 + 1.4 + 1.34) can be used to find that it takes the potter 31.44 hours.
The number line shows points R and T. Which expression represents the distance between point R and point T?
|1 - 1.5 - (-2)|
|1 - 1.5 - 2|
|1.5 - 2|
|2 - (-1.5)|
A child earns a total of $220 from a lemonade stand. The child spends 10% of the total earnings on supplies to make a second lemonade stand, donates 1/2 of the total earnings to an animal shelter, and saves the remaining amount. How much does the child save?
$22
$44
$88
$99
A
B
C
D
A
B
C
D
A
B
C
D
The scale drawing car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?
12 feet
16 feet
10 feet
4 feet
What is the quotient of these fractions in lowest terms 3/10 ÷ 2/4?
6/40
6/10
3/5
12/20
What is 43 of 16 ?
10
12
14
16
What number is 5% of 117?
122.85
58.5
5.85
585
A store is selling a laptop for $800. If the store offers a 10% sale on the laptop, how much will the laptop cost after the sale?
A) $720
B) $750
C) $700
D) $780
Maria buys a dress for $50. The sales tax rate in her area is 7%. How much will Maria pay in sales tax?
A) $3.50
B) $5
C) $3
D) $7
Problem: A jacket is priced at $120, but it is on sale for 25% off. What is the discounted price of the jacket?
A) $90
B) $100
C) $110
D) $75
Problem: John went out to dinner and his bill was $45. He decides to leave a 15% tip. How much is the tip?
A) $5.50
B) $6
C) $7
D) $6.75
The price of a smartphone was $500 last year. This year, the price increased by 15%. What is the new price of the smartphone?
A) $550
B) $575
C) $600
D) $525
