AnswersAdv. Algebra II S2 OriginalOperations 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?

Question illustration
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?

Question illustration
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
3

Noa buys 6 items that each cost $4.25 and 3 items that each cost $6.75. How much does Noa spend in total?

A
$20.25
B
$25.50
C
$38.25
D
$45.75
4

Which number expresses 6.72 as a fraction in simplest form?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

Lola needs to sign 96 invitations. Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3 seconds to sign her full name. Going by the accuracy of the stopwatch, which is the most accurate determination for the number of seconds Lola needs to sign all 96 invitations?

A
508 seconds
B
510 seconds
C
509 seconds
D
508.8 seconds
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
9

Nicole is trying to determine an algebraic expression to represent the amount of dog biscuits she needs to purchase for a dog show. She does not know how many dogs will attend the event but wants to have 2 biscuits per dog plus an additional 35 dog biscuits. If d represents the number of dogs, which expression represents the number of dog biscuits Nicole will need for the event?

A
d + 5
Option A
B
2 d + 35
Option B
C
2 d
Option C
D
2 d minus 35
Option D
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.
11

Miguel wants to bike a total of 100 miles over the course of one week in the summer. He logs how much he bikes each day in the table below.Miguel’s Biking LogDayMiles CompletedMonday16.3TuesdayWednesday18.75ThursdayFridayHow many total miles does Miguel need to ride on Saturday and Sunday to meet his goal?

Question illustration
A
miles
Option A
B
miles
Option B
C
miles
Option C
D
miles
Option D
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

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
14

What is the simplified value of the expression below?

Question illustration
A
0
B
One-third
Option B
C
One-half
Option C
D
1
15

Which operation means “split evenly”?

A
addition
B
subtraction
C
multiplication
D
division
16

A sign language club made $627.50 from selling popcorn at a festival. The popcorn cost the club $95.00. Which expression represents the amount of money that was raised for each member of the club? (Let the variable m be the number of members in the club.)

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