Percent Algebra Word Problem Game

Percent Algebra Word Problem Quiz/Game
This game focuses on solving word problems involving Percents. Percent problems including a wide range of percent applications: Tax and Discounts, Percent Increase/Decrease, Part/Whole/Percent, Logic & Ratio. Scroll down the page for a more detailed explanation.

 

 

How to Play the Percent Algebra Explorer Game

1. Look at the Problem: Read the problem carefully. Solve it and select one of the answers.
   
2. Check Your Percent: If you selected the right answer, it will be highlighted in green. If you are wrong, it will be highlighted in red and the correct answer will be highlighted in green. A hint will be given to help you find the correct answer.
   
3. Get a New Problem: Click “Next Question” for a new problem.
   Your score is tracked, showing how many you’ve gotten right.
   
4. Finish Game When you have completed 10 questions, your final score will be displayed.
    
   

How to Solve Percent Algebra Word Problems
Three Common Types of Problems
Type A: Finding the Part
Problem: “What is 15% of 80?"
Algebraic Setup: x=0.15 × 80
Solution: x=12

Type B: Finding the Percent
Problem: “12 is what percent of 40?"
Algebraic Setup: 12 = p × 40
Solution: p = \(\frac{12}{40}\) = 0.3 = 30%

Type C: Finding the Whole (The “Original” Value)
Problem: “18 is 30% of what number?"
Algebraic Setup: 18 = 0.30 × x
Solution: x = \(\frac{0.30}{18}\) = 60

Percent Increase and Decrease
These problems involve an extra step because you are changing the “Whole” (100%).
Percent Increase (Tax, Tip, Markup):
Add the percent to 100%.
Example: A $50 item with 8% tax.
Equation: x = 1.08 × 50

Percent Decrease (Discount, Sale, Loss):
Subtract the percent from 100%.
Example: A $100 coat on sale for 20% off.
Equation: x = 0.80 × 100

The “Equation Method” vs. “Proportion Method”
If you prefer a visual layout, you can use the Proportion Method, which works for every type of percent problem:
\(\frac{is(part)}{of(whole)} = \frac{%}{100}\)

Example: 25 is what percent of 200?
\(\frac{25}{200} = \frac{x}{100}\)
Cross-multiply: 2500=200x
Divide: x = 12.5%
 

This video gives a clear, step-by-step approach to explain how to solve percent algebra word problems.

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