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Algebra II : Algebra II

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #21 : Data Properties

Mrs. Potter gave a test to her Algebra II class, and the scores were as follows:

75, 76, 89, 99, 100, 100, 83, 94, 75, 86, 95, 96, 100, 73, 97

What is the range of the test scores?

Possible Answers:

100

89.2

86.5

Correct answer:

Explanation:

The range is simply the maximum value minus the minimum value. The highest test score was 100 , and the lowest was .

100-73=27 , so the range of the test scores was 27.

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Example Question #51 : Basic Statistics

What is the range of the following equation?

$\small 3x+2$ where $\small 3\leq x\leq10$

Possible Answers:

$\small 20$

$\small 19$

Cannot be determined

$\small 15$

$\small 21$

Correct answer:

$\small 21$

Explanation:

The range is the smallest value subtracted from the biggest value.

This means that for this specific example you need to plug in "3" into the equation and subtract your answer from what you get when you plug "10" into the equation as these are the two endpoints of your function.

Upon doing this you get:

$\small 32-11=21$

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Example Question #21 : Range

Find the range of the numbers: 2,4,5,7,9,8,11 .

Possible Answers:

Correct answer:

Explanation:

Step 1: Arrange the numbers from smallest to largest:

2,4,5,7,8,9,11 .

Step 2: Subtract the largest number and the smallest door to find the range.

Range=11-2=9

The range is .

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Example Question #22 : Range

What is the range of the set: {2,3,7,-11,20,4,72,-1,-5,-6}

Possible Answers:

Correct answer:

Explanation:

Step 1: Rearrange the numbers from smallest to largest:

After rearranging, the set is: {-11,-6,-5,-1,2,3,4,7,20,72} .

Step 2: Locate the highest number and the lowest number

Highest=
Lowest=

Step 3: Subtract Lowest from Highest

72-(-11)=72+11=83

The range of this set of numbers is .

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Example Question #23 : Range

Solve for the range: $[-3,9,-\frac{5}{2},18,-36,0]$

Possible Answers:

$\frac{77}{2}$

Correct answer:

Explanation:

The range of a data set is the difference between the highest and lowest numbers.

The highest number is .

The smallest number is .

Subtract the two numbers. Be sure to enclose the negative number with parentheses.

18-(-36) = 18+36 = 54

The range is:

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Example Question #22 : Range

Solve for the range: [-3,-10,-90,0,1]

Possible Answers:

100

Correct answer:

Explanation:

The range is the difference between the highest and lowest numbers in the data set.

The highest number is one.

The lowest number is negative ninety.

Subtract both numbers. Enclose the negative number in parentheses.

1-(-90) = 1+90= 91

The answer is:

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Example Question #23 : Range

Calculate the range of the data set: $[-\frac{1}{2}, \frac{3}{7}, \frac{1}{2},0]$

Possible Answers:

$\frac{13}{28}$

$-\frac{1}{28}$

$\frac{13}{14}$

Correct answer:

Explanation:

The range is the difference between the highest and lowest numbers.

The highest number is: $\frac{1}{2}$

The lowest number is: $-\frac{1}{2}$

Subtract both numbers.

$\frac{1}{2}-(-\frac{1}{2}) = \frac{1}{2}+\frac{1}{2}=1$

The range of the set of data is:

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Example Question #23 : Range

Solve for the range: [6,-6,3,9,-9,0]

Possible Answers:

Correct answer:

Explanation:

The range is the difference between the highest and lowest numbers in the data set.

Determine the highest number.

The highest number is:

The lowest number is:

Subtract both numbers.

9-(-9)=18

The range is:

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Example Question #23 : Range

Determine the range of the data set: [4,7,30,99]

Possible Answers:

$\frac{37}{2}$

$\frac{95}{4}$

Correct answer:

Explanation:

The range is the difference between the largest and smallest numbers provided in the set of data.

The highest number is 99, and the smallest number is 4.

Subtract these numbers.

99-4=95

The answer is:

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Example Question #31 : Range

Find the range of the numbers: $[\frac{1}{2}, \frac{3}{2}, 2,\frac{1}{2},0-\frac{1}{2}]$

Possible Answers:

$\frac{3}{2}$

$2\frac{1}{2}$

$3\frac{1}{2}$

$1\frac{1}{2}$

Correct answer:

$2\frac{1}{2}$

Explanation:

The range of a data set the difference between the largest and smallest numbers.

The largest number provided is 2.

The smallest number is negative half.

Subtract these numbers. Make sure to enclose the negative value when subtracting the two numbers.

$2-(-\frac{1}{2}) = 2+ \frac{1}{2} = 2\frac{1}{2}$

The answer is: $2\frac{1}{2}$

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Algebra II : Algebra II

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #21 : Data Properties

Example Question #51 : Basic Statistics

Example Question #21 : Range

Example Question #22 : Range

Example Question #23 : Range

Example Question #22 : Range

Example Question #23 : Range

Example Question #23 : Range

Example Question #23 : Range

Example Question #31 : Range

All Algebra II Resources

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