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Finding how much ONE quantity would be (per gallon, per ounce, per person)
A.
Proportion
B.
Ratio
C.
Unit
D.
Unit rate
Correct Answer
D. Unit rate
Explanation The term "unit rate" refers to the rate of one quantity in relation to one unit of another quantity. It is commonly used to compare different quantities and determine how much of one quantity would be in terms of a specific unit. For example, finding the unit rate of cost per gallon of gasoline would tell us how much it costs for one gallon. In this context, the term "unit rate" is the most appropriate answer as it accurately describes the concept of finding the value of one quantity per unit.
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2.
Two ratios that are equivalent.
A.
Proportion
B.
Ratio
C.
Unit rate
D.
Rate
Correct Answer
A. Proportion
Explanation A proportion is a mathematical statement that shows that two ratios are equivalent. It is a way to compare two ratios and determine if they are equal. In a proportion, the cross products of the ratios are equal. Therefore, if two ratios are equivalent, they can be represented as a proportion.
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3.
Equivalent
A.
Various
B.
Total
C.
Sum
D.
Equal
Correct Answer
D. Equal
Explanation The word "equivalent" means having the same value or worth. The other words in the list - various, total, sum - do not have the same meaning as "equivalent." However, the word "equal" does have a similar meaning to "equivalent" as it also means being the same in value or amount. Therefore, "equal" is the correct answer as it is the closest in meaning to "equivalent" among the given options.
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4.
Review: Percent means out of...
A.
1
B.
10
C.
100
D.
1,000
Correct Answer
C. 100
Explanation Percent means out of 100. It is a way of expressing a fraction or a ratio out of 100. For example, if something is 50%, it means it is half of the whole, or half of 100. Similarly, if something is 75%, it means it is three-fourths of the whole, or three-fourths of 100. Therefore, the correct answer is 100 because percent refers to dividing a quantity into 100 equal parts.
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5.
A car can travel 300 miles on 30 gallons of gas. How much gas will it need to go 260 miles?
A.
13
B.
26
C.
10
D.
28
Correct Answer
B. 26
Explanation Set a proportion box. You would have gone 10 miles on 1 gallon of gas. The scale factor would be 26 because 10x26= 260. The amount of gas need would be (B) 26 beacause 1x26=26.
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6.
2 oranges for $0.50What is the unit rate? (label the answer)
A.
$.25
B.
$.25 per dollar
C.
$.25 per orange
Correct Answer
C. $.25 per orange
Explanation The unit rate is $.25 per orange because the given information states that 2 oranges can be bought for $0.50. To find the cost per orange, we divide the total cost ($0.50) by the number of oranges (2), which equals $0.25. Therefore, the unit rate is $.25 per orange.
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7.
5 cases of soda for $15.50Find the unit rate.
A.
$3.10
B.
$77.50
C.
$3.00
D.
$5.00
Correct Answer
A. $3.10
Explanation The unit rate can be found by dividing the total cost of the soda by the number of cases. In this case, the total cost is $15.50 and there are 5 cases. Dividing $15.50 by 5 gives us $3.10, which is the cost per case.
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8.
Write this ratio as a percent. 56 out of 100
Correct Answer 56%
Explanation The given ratio of 56 out of 100 can be written as a percent by dividing 56 by 100 and multiplying the result by 100. This gives us 56%.
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9.
There are six colored marbles. Two of the marbles are red, one of the marbles is blue and three of the marbles are green. What percentage of the marbles are green?
Correct Answer 50%
Explanation Out of the total of six marbles, three are green. To find the percentage, we divide the number of green marbles (3) by the total number of marbles (6) and multiply by 100. This gives us (3/6) * 100 = 50%. Therefore, 50% of the marbles are green.
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10.
Marlo can run 2 miles in 15 minutes. How many miles can Marlo run in 60 minutes?
A.
4 miles
B.
8 miles
C.
15 miles
D.
450 miles
Correct Answer
B. 8 miles
Explanation Marlo can run 2 miles in 15 minutes, which means that she can run 1 mile in 7.5 minutes. Therefore, in 60 minutes, she can run 8 miles.
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11.
Nick played basketball against Mr. Casarella. He made 8 baskets for every 12 shots that he took. How many baskets would he make if he took 60 shots?
A.
24 baskets
B.
35 baskets
C.
40 baskets
D.
90 baskets
Correct Answer
C. 40 baskets
Explanation If Nick made 8 baskets for every 12 shots, it means he has a shooting percentage of 8/12 or 2/3. To find out how many baskets he would make if he took 60 shots, we can set up a proportion: 8/12 = x/60. Cross-multiplying, we get 12x = 480, and dividing both sides by 12, we find that x = 40. Therefore, Nick would make 40 baskets if he took 60 shots.
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12.
20% off of $150 Beats headphones is how much?
Correct Answer $30
Explanation 20% off of $150 is equivalent to taking 20% of $150, which is $30. Therefore, the discounted price of the Beats headphones after applying the 20% off is $30.
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13.
Find 15% of $34.
Correct Answer $5.10 5.10
Explanation To find 15% of $34, we can multiply $34 by 0.15. This gives us $5.10, which is 15% of $34.
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14.
Maria received 27 out of a possible 36 points on a test. What percent was her score?________
Correct Answer 75%, 75 percent, 75 %
Explanation Maria received 27 out of a possible 36 points on the test. To find her score as a percentage, we can divide her score by the total possible points and then multiply by 100. In this case, (27/36) * 100 = 75%. Therefore, Maria's score is 75%.
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15.
Three out of every 4 students have sneakers on today. In a classroom of 28 students, how many are not wearing sneakers?
Correct Answer 7 7 students
Explanation Since three out of every four students have sneakers on, this means that one out of every four students does not have sneakers on. Therefore, in a classroom of 28 students, there would be 7 students who are not wearing sneakers.
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16.
Write this percent as a ratio in word form.________
38 percent
Correct Answer 38 out of 100, 38:100, 38/100, 38 to 100
Explanation The given correct answer provides various ways to express the ratio of 38 to 100 in word form. These include "38 out of 100," "38:100," "38/100," and "38 to 100." Each of these expressions represents the same ratio and accurately describes the proportion of 38 in relation to 100.
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17.
There are four colored pieces of paper. One of the pieces of paper is pink, two of the pieces of paper are purple, and one piece of paper is orange. What percentage of the pieces of paper is pink?
Correct Answer 25%, 25 %, 25 percent
Explanation Since there are four pieces of paper in total and only one of them is pink, the percentage of pink pieces of paper is 1 out of 4, which is equivalent to 25%.
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18.
What are going to do during Christmas break?
A.
Take online math tests everyday
B.
Read 100 books
C.
Enjoy your time away from school! :)
D.
Option 4
Correct Answer
C. Enjoy your time away from school! :)
Explanation The correct answer is "Enjoy your time away from school! :)". This answer is the most appropriate response for what someone might do during their Christmas break. It suggests taking a break from academic activities and enjoying the holiday season.
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