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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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All Algebra 1 Resources

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

Example Questions

Example Question #24 : Percent Of Change

Find the percent of increase from $\small 26$ $\displaystyle \small 26$ to $\small 35$ $\displaystyle \small 35$ .

Possible Answers:

$\small 45\%$ $\displaystyle \small 45\%$

$\small \approx35\%$ $\displaystyle \small \approx35\%$

$\small \approx32\%$ $\displaystyle \small \approx32\%$

$\small \approx95\%$ $\displaystyle \small \approx95\%$

Correct answer:

$\small \approx35\%$ $\displaystyle \small \approx35\%$

Explanation:

For this type of problem we use this formula:

$\small \frac{difference}{original} \times 100$ $\displaystyle \small \frac{difference}{original} \times 100$ .

"Difference" is simply the difference between the two numbers given, and "original" is the number that is stated usually after the word "from" , example: from $\small #$ $\displaystyle \small #$ ____ to ____.

In this problem our formula will be filled in as follows:

$\small \small \frac{35-26}{26} \times 100 = \frac{9}{26}\times 100 \approx35\%$ $\displaystyle \small \small \frac{35-26}{26} \times 100 = \frac{9}{26}\times 100 \approx35\%$ .

This our percent increase.

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Example Question #31 : How To Find The Percent Of Increase

Find the percent of increase from $\small 35$ $\displaystyle \small 35$ to $\small 46$ $\displaystyle \small 46$ .

Possible Answers:

$\small \approx35\%$ $\displaystyle \small \approx35\%$

$\small \approx31\%$ $\displaystyle \small \approx31\%$

$\small \approx34\%$ $\displaystyle \small \approx34\%$

$\small \approx21\%$ $\displaystyle \small \approx21\%$

Correct answer:

$\small \approx31\%$ $\displaystyle \small \approx31\%$

Explanation:

For this type of problem we use this formula:

$\small \frac{difference}{original} \times 100$ $\displaystyle \small \frac{difference}{original} \times 100$ .

In this problem our formula will be filled in as follows:

$\small \frac{46-35}{35} \times 100 = \frac{11}{35}\times 100 \approx31\%$ $\displaystyle \small \frac{46-35}{35} \times 100 = \frac{11}{35}\times 100 \approx31\%$ .

This our percent increase.

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Example Question #32 : How To Find The Percent Of Increase

Find the percent of increase from $\small 100$ $\displaystyle \small 100$ to $\small 154$ $\displaystyle \small 154$ .

Possible Answers:

$\small 545\%$ $\displaystyle \small 545\%$

$\small 24\%$ $\displaystyle \small 24\%$

$\small 52\%$ $\displaystyle \small 52\%$

$\small 54\%$ $\displaystyle \small 54\%$

Correct answer:

$\small 54\%$ $\displaystyle \small 54\%$

Explanation:

For this type of problem we use this formula:

$\small \frac{difference}{original} \times 100$ $\displaystyle \small \frac{difference}{original} \times 100$ .

In this problem our formula will be filled in as follows:

$\small \small \frac{154-100}{100} \times 100 = \frac{54}{100}\times 100 = 54\%$ $\displaystyle \small \small \frac{154-100}{100} \times 100 = \frac{54}{100}\times 100 = 54\%$ .

This our percent increase.

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Example Question #31 : How To Find The Percent Of Increase

Find the percent of increase from $\small 14$ $\displaystyle \small 14$ to $\small 45$ $\displaystyle \small 45$ .

Possible Answers:

$\small \approx241\%$ $\displaystyle \small \approx241\%$

$\small \approx221\%$ $\displaystyle \small \approx221\%$

$\small \approx211\%$ $\displaystyle \small \approx211\%$

$\small \approx21\%$ $\displaystyle \small \approx21\%$

Correct answer:

$\small \approx221\%$ $\displaystyle \small \approx221\%$

Explanation:

For this type of problem we use this formula:

$\small \frac{difference}{original} \times 100$ $\displaystyle \small \frac{difference}{original} \times 100$ .

In this problem our formula will be filled in as follows:

$\small \frac{45-14}{14} \times 100 = \frac{31}{14}\times 100 \approx221\%$ $\displaystyle \small \frac{45-14}{14} \times 100 = \frac{31}{14}\times 100 \approx221\%$ .

This our percent increase.

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Example Question #34 : How To Find The Percent Of Increase

Find the percent of increase from $\displaystyle 16$ to $\displaystyle 27$ .

Possible Answers:

$\approx69\%$ $\displaystyle \approx69\%$

$\approx29\%$ $\displaystyle \approx29\%$

$\approx99\%$ $\displaystyle \approx99\%$

$\approx89\%$ $\displaystyle \approx89\%$

Correct answer:

$\approx69\%$ $\displaystyle \approx69\%$

Explanation:

For this type of problem we use this formula:

$\small \frac{difference}{original} \times 100$ $\displaystyle \small \frac{difference}{original} \times 100$ .

In this problem our formula will be filled in as follows:

$\small \small \frac{27-16}{16} \times 100 = \frac{11}{16}\times 100 \approx69\%$ $\displaystyle \small \small \frac{27-16}{16} \times 100 = \frac{11}{16}\times 100 \approx69\%$ .

This our percent increase.

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Example Question #31 : How To Find The Percent Of Increase

Find the percent increase from $\small 10$ $\displaystyle \small 10$ to $\small 20$ $\displaystyle \small 20$ .

Possible Answers:

$\small 200\%$ $\displaystyle \small 200\%$

$\small 48\%$ $\displaystyle \small 48\%$

$\small 100\%$ $\displaystyle \small 100\%$

$\small 90\%$ $\displaystyle \small 90\%$

Correct answer:

$\small 100\%$ $\displaystyle \small 100\%$

Explanation:

For this type of problem we use this formula:

$\small \frac{difference}{original} \times 100$ $\displaystyle \small \frac{difference}{original} \times 100$ .

In this problem our formula will be filled in as follows:

$\small \small \frac{20-10}{10} \times 100 = \frac{10}{10}\times 100 =100\%$ $\displaystyle \small \small \frac{20-10}{10} \times 100 = \frac{10}{10}\times 100 =100\%$ .

This our percent increase.

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Example Question #31 : Percent Of Change

Find the percent of increase from $\small 89$ $\displaystyle \small 89$ to $\small 90$ $\displaystyle \small 90$ .

Possible Answers:

$\small \approx 3\%$ $\displaystyle \small \approx 3\%$

$\small \approx 2\%$ $\displaystyle \small \approx 2\%$

$\small \approx 1\%$ $\displaystyle \small \approx 1\%$

$\small \approx9\%$ $\displaystyle \small \approx9\%$

Correct answer:

$\small \approx 1\%$ $\displaystyle \small \approx 1\%$

Explanation:

For this type of problem we use this formula:

$\small \frac{difference}{original} \times 100$ $\displaystyle \small \frac{difference}{original} \times 100$ .

In this problem our formula will be filled in as follows:

$\small \frac{90-89}{89} \times 100 = \frac{1}{89}\times 100 \approx 1\%$ $\displaystyle \small \frac{90-89}{89} \times 100 = \frac{1}{89}\times 100 \approx 1\%$ .

This our percent increase.

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Example Question #31 : Percent Of Change

Find the percent of increase from $\small 60$ $\displaystyle \small 60$ to $\small 73$ $\displaystyle \small 73$ .

Possible Answers:

$\small \approx 12\%$ $\displaystyle \small \approx 12\%$

$\small \approx 82\%$ $\displaystyle \small \approx 82\%$

$\small \approx 42\%$ $\displaystyle \small \approx 42\%$

$\small \approx 22\%$ $\displaystyle \small \approx 22\%$

Correct answer:

$\small \approx 22\%$ $\displaystyle \small \approx 22\%$

Explanation:

For this type of problem we use this formula:

$\small \frac{difference}{original} \times 100$ $\displaystyle \small \frac{difference}{original} \times 100$ .

In this problem our formula will be filled in as follows:

$\small \small \frac{73-60}{60} \times 100 = \frac{13}{60}\times 100 \approx 22\%$ $\displaystyle \small \small \frac{73-60}{60} \times 100 = \frac{13}{60}\times 100 \approx 22\%$ .

This our percent increase.

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Example Question #32 : How To Find The Percent Of Increase

Find the percent increase from $\small 80$ $\displaystyle \small 80$ and $\displaystyle 90$ .

Possible Answers:

$\small 12.5\%$ $\displaystyle \small 12.5\%$

$\small 10.5\%$ $\displaystyle \small 10.5\%$

$\small 2.5\%$ $\displaystyle \small 2.5\%$

$\small 10.5\%$ $\displaystyle \small 10.5\%$

Correct answer:

$\small 12.5\%$ $\displaystyle \small 12.5\%$

Explanation:

For this type of problem we use this formula:

$\small \frac{difference}{original} \times 100$ $\displaystyle \small \frac{difference}{original} \times 100$ .

In this problem our formula will be filled in as follows:

$\small \frac{90-80}{80} \times 100 = \frac{10}{80}\times 100 = 12.5\%$ $\displaystyle \small \frac{90-80}{80} \times 100 = \frac{10}{80}\times 100 = 12.5\%$ .

This our percent increase.

Report an Error

Example Question #32 : How To Find The Percent Of Increase

Find the percent of increase from $\small 55$ $\displaystyle \small 55$ to $\small 67$ $\displaystyle \small 67$ .

Possible Answers:

$\small \approx24\%$ $\displaystyle \small \approx24\%$

$\small \approx29\%$ $\displaystyle \small \approx29\%$

$\small \approx22\%$ $\displaystyle \small \approx22\%$

$\small \approx32\%$ $\displaystyle \small \approx32\%$

Correct answer:

$\small \approx22\%$ $\displaystyle \small \approx22\%$

Explanation:

For this type of problem we use this formula:

$\small \frac{difference}{original} \times 100$ $\displaystyle \small \frac{difference}{original} \times 100$ .

In this problem our formula will be filled in as follows:

$\small \small \frac{67-55}{55} \times 100 = \frac{12}{55}\times 100 \approx22\%$ $\displaystyle \small \small \frac{67-55}{55} \times 100 = \frac{12}{55}\times 100 \approx22\%$ .

This our percent increase.

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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #24 : Percent Of Change

Example Question #31 : How To Find The Percent Of Increase

Example Question #32 : How To Find The Percent Of Increase

Example Question #31 : How To Find The Percent Of Increase

Example Question #34 : How To Find The Percent Of Increase

Example Question #31 : How To Find The Percent Of Increase

Example Question #31 : Percent Of Change

Example Question #31 : Percent Of Change

Example Question #32 : How To Find The Percent Of Increase

Example Question #32 : How To Find The Percent Of Increase

All Algebra 1 Resources

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