Unit 1 Preassessment: Rational Number Uses
This quiz will not serve as a grade, but as a means to determine areas of strength and weakness. Please take your time and answer each question to the best of your ability.
- 1.
Which ratio describes 20 basset hounds out of 45 dogs as a fraction in simplest form?
- A.
20/45
- B.
9/4
- C.
9:4
- D.
4/9
Correct Answer
D. 4/9Explanation
Remember, SIMPLEST FORM means to reduce, or divide the top & bottom by a common number.Rate this question:
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- 2.
Bonnie purchased a 30-ounce package of Chocolate Chunk Cookies for $2.40. What is the cost per ounce?
- A.
$0.88 per oz.
- B.
$8.00 per oz.
- C.
$0.80 per oz.
- D.
$0.08 per oz.
Correct Answer
D. $0.08 per oz.Explanation
"Per" usually means "divide."Rate this question:
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- 3.
Bus Number 712 traveled 150 miles on 10 gallons of gas. How many miles per gallon does the bus get?
- A.
15
- B.
150
- C.
1.5
- D.
0.15
Correct Answer
A. 15Explanation
"Per" usually means "divide."Rate this question:
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- 4.
Approximately 105 out of 350 teens have their own savings account. Express the ratio 105:350 as a fraction in simplest form.
- A.
3/1
- B.
1/3
- C.
10/3
- D.
3/10
Correct Answer
D. 3/10Explanation
Remember, SIMPLEST FORM means to reduce, or divide the top & bottom by a common number.Rate this question:
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- 5.
Express the ratio that compares the number of purple Skittles to the total number of Skittles.
- A.
2/23
- B.
3/15
- C.
1/4
- D.
2/3
Correct Answer
A. 2/23Explanation
Remember, a ratio is a comparison. The first item they ask for (purple) should be written first, then the second item (the total number of Skittles) should be written second.Rate this question:
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- 6.
Express 0.4 as a fraction in simplest form.
- A.
2/5
- B.
4/100
- C.
1/4
- D.
4/10
Correct Answer
A. 2/5Explanation
Say 0.4 in your head, "four tenths" and then write the words as fraction 4/10. Now, simplify to lowest terms.Rate this question:
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- 7.
The White House is approximately 18.05 acres. Express this decimal as a mixed number in simplest form.
- A.
18 and 1/5
- B.
18 and 5/100
- C.
18 and 1/50
- D.
18 and 1/20
Correct Answer
D. 18 and 1/20Explanation
Remember, a mixed number consists of a whole number and a fraction. "Simplest form" means to reduce by dividing the top & bottom by a common number.Rate this question:
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- 8.
Express 0.6 as a fraction in simplest form.
- A.
6/100
- B.
3/5
- C.
6/10
- D.
1/2
Correct Answer
B. 3/5Explanation
"Simplest form" means to reduce by dividing the top & bottom by a common number.Rate this question:
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- 9.
Write two and twelve hundredths as a mixed number in simplest form.
- A.
2 and 6/40
- B.
2 and 6/50
- C.
2 and 3/25
- D.
2
Correct Answer
C. 2 and 3/25Explanation
Remember, a mixed number consists of a whole number and a fraction. "Simplest form" means to reduce by dividing the top & bottom by a common number.Rate this question:
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- 10.
Write 7 and 4/5 as a decimal.
- A.
7.8
- B.
7.9
- C.
7.4
- D.
7.45
Correct Answer
A. 7.8Explanation
To convert a mixed number to a decimal, we first convert the fraction part to a decimal. In this case, 4/5 can be written as 0.8. Then, we add the whole number part to the decimal. Thus, 7 and 4/5 can be written as 7.8.Rate this question:
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- 11.
Replace the # with a number so that the fractions are equivalent: 18/21 = 6/#
- A.
7
- B.
3
- C.
4
- D.
6
Correct Answer
A. 7Explanation
HINT: Try simplifying the first fraction.Rate this question:
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- 12.
Write 5/20 in simplest form.
- A.
1/5
- B.
1/4
- C.
4/5
- D.
1/20
Correct Answer
B. 1/4Explanation
Divide top and bottom by a common value.Rate this question:
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- 13.
Write 42/54 in simplest form.
- A.
8/10
- B.
7/9
- C.
8/9
- D.
21/27
Correct Answer
B. 7/9Explanation
To simplify the fraction 42/54, we can divide both the numerator and denominator by their greatest common divisor, which is 6. When we divide 42 by 6, we get 7, and when we divide 54 by 6, we get 9. Therefore, the simplest form of 42/54 is 7/9.Rate this question:
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- 14.
State the least common denominator of 8/15 and 13/25.
- A.
100
- B.
300
- C.
25
- D.
75
Correct Answer
D. 75Explanation
The least common denominator is the smallest multiple that both denominators, 15 and 25, can divide into evenly. The prime factors of 15 are 3 and 5, while the prime factors of 25 are 5 and 5. To find the least common denominator, we need to consider the highest power of each prime factor. In this case, the highest power of 3 is 1, and the highest power of 5 is 2. Multiplying these together gives us 3 * 5 * 5 = 75, which is the least common denominator.Rate this question:
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- 15.
Write 1/4, 1/3, and 2/7 in order from least to greatest.
- A.
2/7, 1/3, 1/4
- B.
1/3, 1/4, 2/7
- C.
1/4, 2/7, 1/3
- D.
2/7, 1/4, 1/3
Correct Answer
C. 1/4, 2/7, 1/3Explanation
Try changing them all to decimals to compare them.Rate this question:
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- 16.
Write 6x6x6x6x6 using exponents.
- A.
6^6
- B.
1^6
- C.
6^5
- D.
6^4
Correct Answer
C. 6^5Explanation
The given expression is 6^5. This means that the number 6 is raised to the power of 5. In other words, we multiply 6 by itself 5 times.Rate this question:
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- 17.
Evaluate 4^5 ("Four to the fifth power").
- A.
1024
- B.
256
- C.
64
- D.
625
Correct Answer
A. 1024Explanation
When we raise a number to a power, it means that we multiply the number by itself the number of times indicated by the power. In this case, we need to multiply 4 by itself 5 times. So, 4^5 can be calculated as 4 x 4 x 4 x 4 x 4, which equals 1024.Rate this question:
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- 18.
Which number is a perfect square?
- A.
36
- B.
26
- C.
32
- D.
11
Correct Answer
A. 36Explanation
36 is a perfect square because it can be expressed as the square of a whole number, which is 6. When 6 is multiplied by itself, the result is 36.Rate this question:
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Mar 20, 2023Quiz Edited by
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Sep 08, 2010Quiz Created by
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