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Percent Increase And Decrease Common Core Algebra 1 Homework Answers ##TOP##

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Percent Increase And Decrease Common Core Algebra 1 Homework Answers ##TOP##

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How to Solve Problems Involving Percent Increase and Decrease in Common Core Algebra 1

Percent increase and decrease are common concepts in algebra that involve finding how much a quantity changes relative to its original value. For example, if a shirt costs $20 and its price is increased by 25%, what is the new price To answer this question, we need to find 25% of $20 and add it to the original price. We can use the following formula:

New value = Original value + Percent change à Original value

In this case, the new value is the new price of the shirt, the original value is $20, and the percent change is 25%. We can plug these values into the formula and simplify:

New value = 20 + 0.25 Ã 20

New value = 20 + 5

New value = 25

So, the new price of the shirt is $25.

Similarly, if a shirt costs $20 and its price is decreased by 25%, what is the new price To answer this question, we need to find 25% of $20 and subtract it from the original price. We can use the same formula as before, but with a negative percent change:

New value = Original value - Percent change à Original value

In this case, the new value is the new price of the shirt, the original value is $20, and the percent change is -25%. We can plug these values into the formula and simplify:

New value = 20 - 0.25 Ã 20

New value = 20 - 5

New value = 15

So, the new price of the shirt is $15.

These examples illustrate how to use the formula for percent increase and decrease to solve problems involving common core algebra 1. For more practice questions and answers on this topic, you can check out these resources:

Common Core Algebra I.Unit #6.Lesson #6.Percent Increase and Decrease - YouTube[^1^]

Increasing/Decreasing by a Percentage Practice Questions â Corbettmaths[^2^]

Percent Increase And Decrease Common Core Algebra 1 Homework Answers - OpenSea[^3^]

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Another way to think about percent increase and decrease is to use the concept of a multiplier. A multiplier is a number that you multiply by the original value to get the new value. For example, if a shirt costs $20 and its price is increased by 25%, the multiplier is 1.25. This means that the new price is 1.25 times the original price. We can use the following formula:

New value = Multiplier à Original value

In this case, the new value is the new price of the shirt, the multiplier is 1.25, and the original value is $20. We can plug these values into the formula and simplify:

New value = 1.25 Ã 20

New value = 25

So, the new price of the shirt is $25.

Similarly, if a shirt costs $20 and its price is decreased by 25%, the multiplier is 0.75. This means that the new price is 0.75 times the original price. We can use the same formula as before:

New value = Multiplier à Original value

In this case, the new value is the new price of the shirt, the multiplier is 0.75, and the original value is $20. We can plug these values into the formula and simplify:

New value = 0.75 Ã 20

New value = 15

So, the new price of the shirt is $15.

These examples illustrate how to use the formula for multipliers to solve problems involving percent increase and decrease in common core algebra 1. For more practice questions and answers on this topic, you can check out these resources:

Percentage Change - Math Is Fun

Finding percents (video) Khan Academy

Percent Increase or Decrease Worksheets 9160f4acd4

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