Percent Increase or Decrease with Equations

Percent Increase or Decrease with Equations

Assessment

Flashcard

Mathematics

7th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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14 questions

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1.

FLASHCARD QUESTION

Front

What is percent increase?

Back

Percent increase is a measure of how much a quantity has grown relative to its original amount, expressed as a percentage. It is calculated using the formula: \( \text{Percent Increase} = \frac{\text{New Value} - \text{Original Value}}{\text{Original Value}} \times 100 \% \.

2.

FLASHCARD QUESTION

Front

What is percent decrease?

Back

Percent decrease is a measure of how much a quantity has shrunk relative to its original amount, expressed as a percentage. It is calculated using the formula: \( \text{Percent Decrease} = \frac{\text{Original Value} - \text{New Value}}{\text{Original Value}} \times 100 \% \.

3.

FLASHCARD QUESTION

Front

How do you calculate the new price after a percent decrease?

Back

To calculate the new price after a percent decrease, use the formula: \( \text{New Price} = \text{Original Price} \times (1 - \frac{\text{Percent Decrease}}{100}) \).

4.

FLASHCARD QUESTION

Front

How do you calculate the new price after a percent increase?

Back

To calculate the new price after a percent increase, use the formula: \( \text{New Price} = \text{Original Price} \times (1 + \frac{\text{Percent Increase}}{100}) \).

5.

FLASHCARD QUESTION

Front

If the price of an item is $50 and it increases by 20%, what is the new price?

Back

The new price is $60. (Calculation: \( 50 \times (1 + 0.20) = 60 \)).

6.

FLASHCARD QUESTION

Front

If the price of an item is $80 and it decreases by 15%, what is the new price?

Back

The new price is $68. (Calculation: \( 80 \times (1 - 0.15) = 68 \)).

7.

FLASHCARD QUESTION

Front

What is the formula to find the original value after a percent decrease?

Back

The formula to find the original value after a percent decrease is: \( \text{Original Value} = \frac{\text{New Value}}{(1 - \frac{\text{Percent Decrease}}{100})} \).

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