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37 questions
Simplify the exponents:
(29 x 35) x (24 x 3)2
620
624
213 x 37
217 x 37
Add.
A scale drawing of a house uses a scale of 0.5 inches = 2 feet. What is the length, in inches, of a line of the scale drawing that represents an actual length of 5 feet?
1.25
2.5
10
20
Subtract.
(3x - 4y) - (4x - 3y)
-x - y
7x - y
-x - 7y
7x - 7y
What is the slope of the line represented by the equation 3x + 4y = 8?
-4/3
-3/4
3/4
4/3
What is the equation of the line that passes through the points (-3, -2) and (1, 6)?
y = 2x + 4
y = -2x + 8
y = 1/2 x - 1/2
y = 1/2 x - 11/2
Points J, K, and L are plotted on the coordinate grid.
What are the coordinates of the points on the coordinate grid?
J (1, -4); K (3,0); L (-2, 3)
J (-4, 1); K (0,3); L (3, -2)
J (-4, 1); K (0,3); L (-2, 3)
J (-4, 1); K (3,0); L (3, -2)
Isabella saved $15,000 and bought a new car that cost $12,700. The insurance for the car will cost $600 per year. How many full years will Isabella be able to pay for car insurance with her remaining savings?
3
4
21
25
Lucy is shipping 5 boxes that all weight the same, and 1 envelope weighs 7.5 pounds. The total weight of the shipment is 65 pounds. What is the weight, in pounds, of each box?
5.5
11.5
14.5
20.5
Which expression matches this written description?
The quotient of the sum of 4 and 2 times a number, and the difference of 6 less than 3 times the same number.
In a science experiment, the initial temperature was 55 degrees Fahrenheit, and each hour after, the temperature dropped by 4 degrees. Which expression represents the temperature, in degrees Fahrenheit, after t hours?
55 - 4t
55 + 4t
4t + 55
4t - 55
A painter uses the expression 35h + 30c to determine how much he charges a customer for a job that takes h hours and c cans of paint. His last job required 3 cans of paint and took 15 hours to complete. How much did the painter charge?
$540
$555
$615
$630
The manager of an apartment complex ordered the air conditioners in the apartments to be replace. The list shows how many years each air conditioner had been in service.
12.2, 13.7, 11.9, 13.4, 11.9, 12.3, 12.9, 11.8, 13.3, 13.6
What is the median number of years that an air conditioner had been in service?
11.9
12.1
12.6
12.7
A sphere has a radius of 7.5 centimeters (cm).
To the nearest cubic centimeter, what is the volume of the sphere?
236
1,325
1,766
14,130
The foundation of a building is in the shape of a rectangle, with a length of 20 meters (m) and a width of 18 m.
To the nearest meter, what is the distance from the top left corner of the foundation to the bottom right corner?
19
27
36
38
Q6. Bag contain 10 back and 20 white balls, One ball is drawn at random. What is the probability that ball is white
1
2/3
1/3
4/3
Jane had a medical bill of $850. After she paid the deductible of $500, her insurance company paid 80% of the remainder. How much more of the bill did Jane have to pay?
70
210
160
280
A rope weight 400 grams per meter of length. What is the weight in kilograms of 6.3 m of this rope?
2,520 kg
252 kg
25.2 kg
2.52 kg
Sam’s Bakery make 3000 donuts in 6 hours, while Annie bakes 4800 donuts per 10 hours day.
Q. Who’s more productive, and by how many donuts per hour (dph)?
Annie is more efficient baking 1800 more donuts.
Sam is more efficient, since he take 4 fewer hours.
Annie is more efficient by 20 donuts / hr.
Sam is more efficient by 20 donuts / hr.
Car ‘A’ travels 330 miles on 20 gallons of fuel. Van ‘B’ uses 12 gallons to go 180 miles.
Q. Which vehicle is more efficient and by how many more mile per gallon (mpg)?
Both have nearly the same mpg.
Car is more efficient by 1.5 mpg.
Van is more efficient by 1.5 mpg.
Van is more efficient using 8 fewer gallons.
Jenny is taking a vacation to Florida. She travels 70 kilometers per hour for 2 hours, and 63 kilometers per hour for 5 hours. Over the 7 hour time period what was Jenny’s average speed?
47.6
19
65
75
Melody needs to calculate her monthly water bill. Her family used 18,900 gallons at a rate of $1.12 per hundred gallons. There is also a monthly account fee of $5.90 per household. What is her total bill?
$217.58
$21,758
$21,168
$21,173.9
Lisa earns $8.10 an hour and worked 40 hours. Jamie earns $10.80 an hour. How many hours would Jamie need to work to equal Lisa’s earnings over 40 hours?
20
30
35
40
Charlie lives halfway between Chicago and Hoopertown. Amanda lives halfway between Charlie and Chicago. Raymond lives between Charlie and Hoopertown. All three houses lie on a straight line from Chicago to Hoopertown. If Raymond lives 15 miles from Amanda and 23 miles from Chicago. How far does he live from Hoopertown?
8
9
15
23
7.5
Li wants to buy as many bags of mulch as possible with his $305, and he would like them to be delivered to his house. The cost is $7.50 per bag and there is a $35.75 delivery charge. The mulch is only sold in full bags. How many bags can Li buy?
35
36
37
38
A jar of marbles contains two sizes of marbles; normal and jumbo. There are 84 normal size marbles. If 2/9 of the marbles are jumbo size, then how many marbles total are in the jar?
19
103
108
378
For her first 3 years with a company, Marissa earned $45,200 each year. For the next 5 years she earned $55,400 per year. What was the average amount that Marissa earned per year over the 8 year period?
$49,075
$50,300
$51,575
$52,100
A small copy shop spent 24% of its monthly revenue on supplies, 17% on renting the building, and 33% on payroll and taxes. If after paying these expenses, $7,384 dollars in profit is left, then how much did the copy shop spend on rent?
$3,976
$4,828
$19,198
$28,400
If a plane travels at 280 miles per hour, how many miles will it travel in 12 minutes?
56
48
36
28
A can of fruit weighs w ounces. The fruit itself, without the can, weighs f ounces. Which equation can be used to find C, the weight of the empty can?
C = w + f
C = w - f
C = f - w
C = f
A square has sides that measure 5 inches. The square is then divided in half vertically and horizontally, creating 4 smaller squares. What would the perimeter of the 4 smaller squares be inches)?
5
6.25
25
40
To rent a community center for a school prom costs a base fee of $550 and an additional fee of $6 per person in attendance. The organizers expected 350 attendees, but in fact a total of 377 people attended. How much greater was the actual fee than the fee the organizers had expected to pay?
162
712
2,262
2,812
The line graph shows the monthly payroll at a large construction company.
In which month did the monthly payroll decrease the most?
February
March
June
July
If a woman sleeps only 6 hours per night and spends 4/9 of her waking hours at work, then what fraction of the total 24 hour day (on a work day) is the woman at work?
1/9
1/3
4/9
3/4
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