AnswersFL-1200700-Mathematics for College Algebra MISOperations on Rational and Irrational Numbers

Operations on Rational and Irrational Numbers — Unit test Answers

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1
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Justin is evaluating the expression , when is 7.9. What was Justin’s error?

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A
Justin should have multiplied 12.5 and 7.9 first.
B
Justin should have added 12.5 and 7.9 first.
C
Justin should have multiplied 3.8 and 7.9 first.
D
Justin should have added 3.8 and 7.9 first.
2
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Which statement is true about the parts of this expression?

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A
The constant is 7.5.
B
The coefficients are 7.5 and .
Option B
C
The variables are x and y.
D
The like terms are and .
Option D
6

Which of the following repeating decimals is equivalent to ?

Question illustration
A
Negative 5.ModifyingAbove 91 with bar
Option A
B
Negative 5.ModifyingAbove 9 with bar
Option B
C
Negative 5.ModifyingAbove 19 with bar
Option C
D
Negative 5. ModifyingAbove 1 with bar
Option D
7

At a grocery store, blueberries come packaged in 8-ounce containers for $2.80. At a farmer's market, blueberries cost $4.20 for 14 ounces. There are 16 ounces in one pound. Which statement accurately compares the cost of blueberries?

A
Blueberries are $0.23 per pound more expensive at the farmer’s market.
B
Blueberries are $0.50 per pound less expensive at the farmer’s market.
C
Blueberries are $0.80 per pound less expensive at the farmer’s market.
D
Blueberries are $1.40 per pound more expensive at the farmer’s market.
8

Which of the following is always irrational?

A
the sum of two fractions
B
the product of a fraction and a repeating decimal
C
the sum of a terminating decimal and the square root of a perfect square
D
the product of a repeating decimal and the square root of a non-perfect square
10

Use the number line to answer the question. Which statement about graphing rational numbers is true?

Question illustration
A
The graphs of all rational numbers will be to the right of point B.
B
The graphs of all rational numbers will be to the left of point B.
C
Point D does not represent a rational number.
D
All of the points on the graph could represent rational numbers.
12

Which numerical expression could represent this phrase?Sixty-three divided by nine minus the quantity ten minus two.

A
63 divided by 9 minus (10 minus 2)
Option A
B
63 divided by 9 minus 10 minus 2
Option B
C
63 divided by 9 times (10 minus 2)
Option C
D
63 divided by 9 times 10 minus 2
Option D
13

Question text not available

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
15

Which operation means “split evenly”?

A
addition
B
subtraction
C
multiplication
D
division
17

Sam is determining the area of a triangle. In this triangle, the value for the height is a terminating decimal, and the value for the base is a repeating decimal. What can be concluded about the area of this triangle?

A
The area will be irrational because the height is irrational.
B
The area is irrational because the numbers in the formula are irrational and the numbers substituted into the formula are rational.
C
The area is rational because the numbers in the formula are rational and the numbers substituted into the formula are rational.
D
The area will be rational because both the height and the base are irrational.
18

Which number is rational?

A
–2.1010010001...
B
–0.8974512...
C
1.2547569...
D
5.3333333...
19

Shalina wants to write as a decimal. Which method could she use?

Question illustration
A
Divide 6 by 2.
B
Divide 2 by 6.
C
Multiply 6 by 2.
D
Multiply 2 by 6.
20

The area of a rhombus can be evaluated using the formula , where d1 represents the measure of one of its diagonals and d2 represents the measure of its other diagonal. When d1 is a terminating decimal and d2 is a repeating decimal, what can be concluded about the area of the rhombus?

Question illustration
A
The area is irrational because both diagonals are irrational.
B
The area is rational because the product of an irrational diagonal and rational diagonal will be multiplied by the rational fraction .
Option B
C
The area is rational because the formula will multiply both rational diagonals and the fraction .
Option C
D
The area is irrational because the formula will multiply two decimals by a fraction.

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