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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Which terms can be combined in the expression below? Select three options.

Question illustration
A
StartFraction 5 over 6 EndFraction a
Option A
B
–2b
C
–16.3
D
StartFraction b over 12 EndFraction
Option D
E
–0.9b
2
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What is the value of the expression if ?

Question illustration
A
12
B
30
C
48
D
84
3

The price of grapes at the grocery store is $1.44 per pound. There are approximately 0.45 kilograms in a pound. To the nearest cent, what is the price of grapes in dollars per kilogram?

A
$0.65 per kilogram
B
$0.99 per kilogram
C
$1.89 per kilogram
D
$3.20 per kilogram
4

The product of a non-zero rational number and an irrational number can always be written as

A
a fraction.
B
a terminating decimal.
C
a non-repeating, non-terminating decimal.
D
a repeating decimal
5

Why is the product of a rational number and an irrational number irrational?

A
because the product is always a non-terminating, non-repeating decimal
B
because the product is always a fraction
C
because the product is always a negative number
D
because the product is always a repeating or a terminating decimal
6

Which inequalities are true? Select the four correct answers.

A
0 less-than StartRoot 8 EndRoot
Option A
B
StartRoot 8 EndRoot less-than 3
Option B
C
StartRoot 8 EndRoot greater-than StartRoot 7 EndRoot
Option C
D
StartRoot 8 EndRoot less-than 2
Option D
E
StartRoot 8 EndRoot greater-than 8
Option E
F
1 less-than StartRoot 8 EndRoot
Option F
7

A family uses 12,986.64 Swiss francs per year to pay a mortgage that requires US dollars. Approximately how much, in US dollars, does the family spend per month on the mortgage?1 US dollar = 0.9019 Swiss francs1 Swiss franc = 1.11 US dollar

A
$975
B
$1,080
C
$1,200
D
$1,440
8

This year, Nelson planted 6 more than one-fifth of the tomato plants he planted last year. Which expression represents the number of tomato plants he planted this year?

A
One-fifth x minus 6
Option A
B
One-fifth x + 6
Option B
C
5 x + 6
Option C
D
5 x minus 6
Option D
9

Which of the following expresses as a fraction in simplest form?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

Mia jogs 3 kilometers in 20 minutes. There are about 0.6 miles in a kilometer. What is Mia’s approximate speed in miles per minute?

A
0.25 miles per minute
B
0.09 miles per minute
C
4 miles per minute
D
11 miles per minute
11

What are the variables in this expression?

Question illustration
A
f and g only
B
g and h only
C
f, g, and only
Option C
D
f, g, and h only
12

After substituting, what is the first step when evaluating when ?

Question illustration
A
Add 4 and 9.
B
Multiply 8 by 4.
C
Divide 9 by 7.
D
Divide 4 by 7.
13

Karim wants to buy a shirt that normally sells for $46.50. It is on sale for off. How much does Karim need to pay to buy the shirt on sale?

Question illustration
A
$15.50
B
$22.50
C
$31.00
D
$41.50
14

Avi’s dining room measures 124 square feet and is in the shape of a square. Which is the best estimate of the length of one side of the room, to the nearest tenth of a foot?

A
10.7 feet
B
10.9 feet
C
11.1 feet
D
11.4 feet
15

Parker is planning for a school picnic. He would like to have 2 hot dogs per person and 15 extra on hand. How many hot dogs does he need if there are 116 students and 8 teachers?

A
131
B
139
C
248
D
263

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