Use the sentence to answer the question.
The CEO's inability to see the looming issues with his supply chain left him as vulnerable as the captain of the Titanic.
Which term does this sentence demonstrate?
(1 point)
Responses
denotation
denotation
analogy
analogy
meaning
meaning
tone
analogy
As she gazed across the plain, a smell filled her nostrils.
Which phrase can replace smell to give the sentence a peaceful tone?
(1 point)
Responses
sickening stink
sickening stink
clean scent
clean scent
putrid stench
putrid stench
foul odor
foul odor
clean scent
What word indicates a literal meaning?(1 point)
Responses
connotation
connotation
analogy
analogy
tone
tone
denotation
denotation
Use the sentence to answer the question.
When he saw the photographer, the raccoon moved into the underbrush.
Which verb choice could replace moved to better give the raccoon's movement a sense of urgency?
(1 point)
Responses
walked
walked
crept
crept
tiptoed
tiptoed
streaked
streaked
Word Choice Quick Check
5 of 55 of 5 Items
Question
Use the passage to answer the question.
As the sound of the doorbell reverberated through the hall, she cracked open the door and peered outside. She caught a glimpse of a truck disappearing into the darkness. On the stoop, a strange object waited. She took a deep breath, opened the door, and stepped out into the heavy summer air.
Which word best describes the tone of the passage?
(1 point)
Responses
cheerful
cheerful
humorous
humorous
mysterious
mysterious
relaxed
mysterious
Providing Evidence Quick Check
1 of 41 of 4 Items
Question
Use the paragraph to answer the question.
Mr. Washington spent the whole summer running a student car wash to raise money for the big garden project. He wants to create a farm-to-table type of program that allows for the school to grow its own fruits and vegetables. Mr. Washington made a pledge to the community last year that, as the new principal, he would do everything in his power to improve the nutritional value of school lunches.
Which answer is explicit evidence from the text about Mr. Washington?
(1 point)
Responses
Mr. Washington wants students to wash cars.
Mr. Washington wants students to wash cars.
Mr. Washington made a pledge to the community.
Mr. Washington made a pledge to the community.
Mr. Washington likes fruits and vegetables.
Mr. Washington likes fruits and vegetables.
Mr. Washington is part of the garden project.
Mr. Washington made a pledge to the community.
Use the paragraph to answer the question.
Dana complained to the produce manager that none of the avocados were ripe. The manager told her that an avocado will ripen quickly if placed in a paper bag with a banana. He also explained that the ripening process can be slowed down by placing the fruit in a refrigerator's crisper drawer. Dana thanked him for the information, and he gave her a coupon for two free avocados.
Which of the following does the text say explicitly about the produce manager?
(1 point)
Responses
He gave Dana a coupon.
He gave Dana a coupon.
He likes to help customers.
He likes to help customers.
He thanked Dana.
He thanked Dana.
He knows a lot about avocados.
He gave Dana a coupon.
Which of the following describes an inference?(1 point)
Responses
a definition of an important term in a text
a definition of an important term in a text
evidence from the text that supports a conclusion
evidence from the text that supports a conclusion
a guess made about what a text is saying
a guess made about what a text is saying
information directly provided in a text
a guess made about what a text is saying
Use this paragraph to answer the question.
Seaweed is used in most ice creams as a thickening agent. The food additive, carrageenan, is made from edible seaweeds and is often listed on the labels of ice cream and other products. There is some controversy over its use in foods that are labeled as "all-natural" or "healthy." The issue over carrageenan is that some studies have suggested it might cause inflammation in the intestines, while others have indicated that it might even contribute to the production of cancer cells. However, many scientists have found these studies to be flawed and declared the food additive as safe to eat.
What does the text explicitly state about carrageenan?
(1 point)
Responses
Carrageenan is made from edible seaweed.
Carrageenan is made from edible seaweed.
People like the taste of it in ice cream.
People like the taste of it in ice cream.
Carrageenan is studied by scientists.
Carrageenan is studied by scientists.
People are concerned over its safety.
People are concerned over its safety.
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Carrageenan is made from edible seaweed.
Which statement is true about the relationships between the number sets?(1 point)
Responses
Not all natural numbers are real numbers.
Not all natural numbers are real numbers.
All rational numbers are also integers.
All rational numbers are also integers.
Some irrational numbers are also integers.
Some irrational numbers are also integers.
Whole numbers include all natural numbers and 0.
Not all natural numbers are real numbers.
Which of the following is true about −9?(1 point)
Responses
It is a whole number but not an integer.
It is a whole number but not an integer.
It is an integer but not a rational number.
It is an integer but not a rational number.
It is both an integer and a whole number.
It is both an integer and a whole number.
It is an integer but not a whole number.
It is both an integer and a whole number.
A sign in a gas station advertises gas at the rate of $3.39910 per gallon. How many dollars does a gallon cost, writing the price strictly as a decimal?(1 point)
A gallon costs $3.39910 when written strictly as a decimal.
Which set of numbers is always rational?(1 point)
Responses
decimals
decimals
positive numbers
positive numbers
fractions
fractions
integers
fractions
The height of an equilateral triangle equals 3√2 times the side length. Using 74 for the square root of 3, what is the approximate height in meters of an equilateral triangle with a side length of 8 meters?(1 point)
To find the height of an equilateral triangle, which is equal to 3√2 times the side length, we can multiply the side length by 3√2.
Given that the side length is 8 meters, we can substitute this value into the equation:
Height = 8 * 3√2
Now, let's approximate the value of √2 using 74:
Height = 8 * 3 * 74
Height = 8 * 222
Height = 1776 meters
Therefore, the approximate height of an equilateral triangle with a side length of 8 meters is 1776 meters.
The diagonal of a square equals 2–√ times the side length. Using 1.4 for the square root of 2, what is the approximate length in feet from one corner to an opposite corner of a square park that is 700 feet on a side?
To find the length of the diagonal of a square, which is equal to 2–√ times the side length, we can multiply the side length by 2–√.
Given that the side length of the square park is 700 feet, we can substitute this value into the equation:
Diagonal = 700 * 2–√
Now, let's approximate the value of √2 using 1.4:
Diagonal = 700 * 2 * 1.4
Diagonal = 1960 feet
Therefore, the approximate length from one corner to an opposite corner of a square park that is 700 feet on a side is 1960 feet.
Using a number line, what whole number and rational number to the nearest half is 40−−√ between?(1 point)
To find the whole number and rational number to the nearest half that is between 40−−√, we need to determine the numbers that 40−−√ falls between on a number line.
First, let's approximate 40−−√. We can estimate it as 6.324.
Next, we can determine the whole number and rational number to the nearest half between 6.324.
To the left of 6.324, we have the whole number 6.
To the right of 6.324, we have the whole number 7.
Since there are no half numbers between 6 and 7, we can conclude that there are no whole numbers and rational numbers to the nearest half between 40−−√.
40−−√ is between
and
.
40−−√ is between 6 and 7.
Using a number line, what whole number and rational number to the nearest half is 58−−√ between?(1 point)
Responses
between 7.5 and 8
between 7.5 and 8
between 7 and 7.5
between 7 and 7.5
between 8.5 and 9
between 8.5 and 9
between 8 and 8.5
To find the whole number and rational number to the nearest half that is between 58−−√, we need to determine the numbers that 58−−√ falls between on a number line.
Approximating 58−−√ gives us a value of approximately 7.616.
To the left of 7.616, we have the whole number 7.
To the right of 7.616, we have the whole number 8.
To find the rational number to the nearest half, we can observe that 7.5 is halfway between 7 and 8.
Therefore, the whole number and rational number to the nearest half that is between 58−−√ is between 7 and 7.5.
Using rational approximations, what is an inequality statement comparing 81−−√ and 8–√8? Enter <, >, or =.(1 point)
The inequality is: 81−−√
8–√8.
To compare 81−−√ and 8–√8 using rational approximations, we can approximate them as follows:
81−−√ is approximately equal to 9.
8–√8 can be simplified as 8−2√2, which is approximately equal to 8−2(1.414), or 8−2.828, which is approximately equal to 5.172.
Now, we can compare the two values:
9 > 5.172
Therefore, the inequality statement comparing 81−−√ and 8–√8 is 81−−√ > 8–√8.
Write 6,739 in expanded form.(1 point)
Responses
(9×1,000)+(3×100)+(7×10)+(6×1)
left parenthesis 9 times 1,000 right parenthesis plus left parenthesis 3 times 100 right parenthesis plus left parenthesis 7 times 10 right parenthesis plus left parenthesis 6 times 1 right parenthesis
(7×100)+(3×10)+(9×1)
left parenthesis 7 times 100 right parenthesis plus left parenthesis 3 times 10 right parenthesis plus left parenthesis 9 times 1 right parenthesis
(6×1,000)+(7×100)+(3×10)+(0×1)
left parenthesis 6 times 1,000 right parenthesis plus left parenthesis 7 times 100 right parenthesis plus left parenthesis 3 times 10 right parenthesis plus left parenthesis 0 times 1 right parenthesis
(6×1,000)+(7×100)+(3×10)+(9×1)
(6×1,000)+(7×100)+(3×10)+(9×1)
Express 811 as a repeating decimal. Mark the cycle of repeating digits with a bar.(1 point)
To express 811 as a repeating decimal, divide 811 by the number you want to repeat.
811 ÷ 9 = 90 with a remainder of 1.
The remainder 1 can be written as 1/9, and since the denominator 9 denotes the repeating cycle, we can express 811 as a repeating decimal as:
811 = 90.1¯¯¯
Express 8/11 as a repeating decimal. Mark the cycle of repeating digits with a bar.(1 point)
To express 8/11 as a repeating decimal, perform the long division:
0.72 (quotient)
-----------------
11 | 8.00
- 7.92 (subtract 11 * 0.72)
-----
8.00
- 7.92
-----
0.08
The decimal representation of 8/11 is 0.72 with the repeating decimal cycle 72 marked with a bar, so it is expressed as:
8/11 = 0.72¯¯¯.
Convert 0.72¯¯¯¯¯ to a rational number in simplest form.(1 point)
To convert the repeating decimal 0.72¯¯¯¯¯ to a rational number in simplest form, we can set up an equation using the repeating decimal as follows:
Let x = 0.72¯¯¯¯¯
Multiplying both sides of the equation by 100 to move the decimal point, we have:
100x = 72.72¯¯¯¯¯
Now, subtracting the original equation x from 100x, we can eliminate the repeating part:
100x - x = 72.72¯¯¯¯¯ - 0.72¯¯¯¯¯
99x = 72
Dividing both sides of the equation by 99, we find:
x = 72/99
The rational number in simplest form is 72/99.
However, we can simplify this fraction further by dividing both the numerator and the denominator by their greatest common divisor, which is 9:
72 ÷ 9 / 99 ÷ 9
This gives us:
8/11
Therefore, the rational number in simplest form for the repeating decimal 0.72¯¯¯¯¯ is 8/11.
Which of the following is a rational number between 5 and 5 1/4?(1 point)
Responses
5 1/7
5 Start Fraction 1 over 7 end fraction
26−−√
start root 26 end root
5 2/5
5 Start Fraction 2 over 5 end fraction
5 1/3
5 1/7 is a rational number between 5 and 5 1/4.
What is a rational number with a denominator of 7 that is between 7–√ and 8–√. Write your answer as an improper fraction.(1 point)
To find a rational number with a denominator of 7 that is between 7−−√ and 8−−√, we need to find a number that falls between these two values on the number line.
Approximating 7−−√ and 8−−√ gives us the values of approximately 2.646 and 2.828, respectively.
To find a rational number with a denominator of 7, we can consider the number 2.8, which can be written as 28/10 in fraction form.
Simplifying 28/10 to its simplest form, we divide the numerator and denominator by their greatest common divisor, which is 2:
28 ÷ 2 / 10 ÷ 2
This gives us the simplified fraction:
14/5
Therefore, the rational number with a denominator of 7 that is between 7−−√ and 8−−√ is 14/5.
Describe the relationship between rational numbers and whole numbers. Are all rational numbers also whole numbers? Are all whole numbers also rational numbers? Give examples to support your answer.(4 points)
The relationship between rational numbers and whole numbers is that all whole numbers are rational numbers, but not all rational numbers are whole numbers.
A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. This includes integers, which are whole numbers and their negations, because they can be expressed as a fraction with a denominator of 1. For example, 5, -3, and 0 are all whole numbers and are considered rational numbers.
However, not all rational numbers are whole numbers. Whole numbers are specifically the set of positive integers (including zero). Rational numbers include fractions, decimals, and repeating or terminating decimals. For example, 1/2, -4/7, 0.75, and 0.333... (1/3 as a repeating decimal) are rational numbers, but they are not whole numbers because they are not integers.
In summary, while all whole numbers are rational numbers, not all rational numbers are whole numbers. Rational numbers include whole numbers as a subset but also encompass a wider range of numbers.