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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #181 : How To Find Mean

Find the mean: $[\frac{1}{2}, \pi, 1]$

Possible Answers:

$\frac{\pi+3}{2}$

$\frac{2\pi+3}{5}$

$\frac{\pi+2}{3}$

$\frac{2\pi+3}{6}$

$\frac{\pi+3}{6}$

Correct answer:

$\frac{2\pi+3}{6}$

Explanation:

The mean is the average of all the numbers in the given set.

Add the numbers. Make each number the least common denominator of two.

$\frac{1}{2}+\pi+ 1 = \frac{1}{2}+\frac{2\pi}{2}+\frac{2}{2}$

Add the common terms of the numerator.

$\frac{1}{2}+\frac{2\pi}{2}+\frac{2}{2} = \frac{2\pi+3}{2}$

Since there are three numbers in the dataset, divide the fraction by three. This is the same as multiplying by one-third.

$\frac{2\pi+3}{2}\cdot \frac{1}{3} = \frac{2\pi+3}{6}$

The answer is: $\frac{2\pi+3}{6}$

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Example Question #1611 : Algebra 1

Find the mean: [3,9,8,1]

Possible Answers:

$\frac{21}{4}$

$\frac{23}{4}$

$\frac{11}{4}$

Correct answer:

$\frac{21}{4}$

Explanation:

The mean is the average of the numbers in the dataset.

Add all the numbers in the set.

3+9+8+1 = 21

Divide this number by four, since there are four numbers in the dataset.

The answer is: $\frac{21}{4}$

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Example Question #1612 : Algebra 1

Find the mean of the following set of numbers: [1,3,5,9,10]

Possible Answers:

$\frac{18}{5}$

$\frac{28}{5}$

$\frac{27}{5}$

$\frac{11}{2}$

Correct answer:

$\frac{28}{5}$

Explanation:

The mean is the average of all the numbers in the set.

Add all the numbers.

1+3+5+9+10 = 28

Divide this number by the total amount of numbers in the dataset.

The answer is: $\frac{28}{5}$

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Example Question #1613 : Algebra 1

Find the mean: [13,23,-4]

Possible Answers:

$\frac{32}{3}$

$\frac{29}3$

$\frac{22}{3}$

Correct answer:

$\frac{32}{3}$

Explanation:

The mean is the average of all the number in a given dataset.

Add all the numbers.

13+23+(-4) = 32

Divide the number by the total amount of numbers in the dataset.

The answer is: $\frac{32}{3}$

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Example Question #185 : How To Find Mean

Find the mean: $[\frac{1}{2}, \frac{2}{5}, -\frac{1}{8}]$

Possible Answers:

$\frac{31}{120}$

$\frac{21}{60}$

$\frac{31}{40}$

$\frac{31}{13}$

$\frac{93}{40}$

Correct answer:

$\frac{31}{120}$

Explanation:

The mean is the average of the numbers in the data set.

There are three fractions.

Add the fractions by first finding the least common denominator.

Convert the fractions.

$\frac{1}{2}+ \frac{2}{5}+( -\frac{1}{8}) = \frac{20}{40}+\frac{16}{40}-\frac{5}{40} = \frac{31}{40}$

Dividing by three is similar to multiplying by one-third. Multiply this fraction to find the mean.

$\frac{31}{40} \cdot \frac{1}{3} = \frac{31}{120}$

The answer is: $\frac{31}{120}$

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Example Question #1614 : Algebra 1

Solve for the mean: [2,-8,9,36]

Possible Answers:

$\frac{45}{4}$

$\textup{There cannot be negative numbers to solve for the mean.}$

$\frac{39}{4}$

$\frac{19}{2}$

Correct answer:

$\frac{39}{4}$

Explanation:

The mean is the average of all the numbers in the data set.

Add the numbers.

2+(-8)+9+36 = 39

Divide this number by four.

The answer is: $\frac{39}{4}$

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Example Question #192 : How To Find Mean

Danielle has made a $\textup{50, 65, 60, and 55}$ on four of her six exams in one of her classes. The passing grade is a . Assuming 100 is the highest possible score, what must she at least average on her last two exams?

Possible Answers:

$\textup{Danielle cannot pass her class.}$

Correct answer:

Explanation:

Let be the unknown scores for Danielle's last two exams. Set up an equation such that the sum of all exam grades over six is equal to seventy, since this is the passing score.

$\frac{50+65+60+55+x+x}{6} = 70$

Multiply both sides by six.

$\frac{50+65+60+55+x+x}{6} \cdot 6= 70\cdot 6$

50+65+60+55+x+x=420

Sum the numbers.

230+2x = 420

Subtract 230 from both sides.

2x=190

Divide by two on both sides.

$\frac{2x}{2}=\frac{190}{2}$

Simplify both sides.

x=95

Danielle must average at least a on both her last two exams in order to pass her class.

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Example Question #1615 : Algebra 1

Find the mean to the following data set: [-3,3,10,13,23]

Possible Answers:

$\textup{No mean.}$

$\frac{46}{5}$

$\frac{43}{5}$

$\frac{49}{5}$

Correct answer:

$\frac{46}{5}$

Explanation:

The mean is the average of all the numbers in the data set.

Add all the numbers.

-3+3+10+13+23=46

Since there are five numbers, divide this number by five.

The answer is: $\frac{46}{5}$

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Example Question #194 : How To Find Mean

Solve for the mean: [-9,-1,1000]

Possible Answers:

$\frac{1010}{3}$

990

330

9000

3000

Correct answer:

330

Explanation:

The mean is the average of all the numbers given in the data set.

Add the numbers.

-9+(-1)+1000 = -10 +1000 = 990

Divide this number by three.

$\frac{990}{3} = 330$

The mean is: 330

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Example Question #195 : How To Find Mean

Find the mean of the numbers: [-19,36,14,-5]

Possible Answers:

$\frac{13}{2}$

$\frac{26}{5}$

$\frac{8}{3}$

$-\frac{1}{2}$

$-\frac{26}{5}$

Correct answer:

$\frac{13}{2}$

Explanation:

Write an expression to sum the numbers. Enclose the negative numbers in parentheses.

(-19)+36+14+(-5) = 26

Divide this number by four.

$\frac{26}{4}$

Reduce this fraction. Both the numerator and denominator are divisible by two.

$\frac{26}{4}=\frac{13\times 2}{2\times 2}$

Cancel out the twos.

The answer is: $\frac{13}{2}$

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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #181 : How To Find Mean

Example Question #1611 : Algebra 1

Example Question #1612 : Algebra 1

Example Question #1613 : Algebra 1

Example Question #185 : How To Find Mean

Example Question #1614 : Algebra 1

Example Question #192 : How To Find Mean

Example Question #1615 : Algebra 1

Example Question #194 : How To Find Mean

Example Question #195 : How To Find Mean

All Algebra 1 Resources

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