Table of contents
- 0. Review of Algebra4h 16m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
- 7. Systems of Equations & Matrices4h 6m
- 8. Conic Sections2h 23m
- 9. Sequences, Series, & Induction1h 19m
- 10. Combinatorics & Probability1h 45m
1. Equations & Inequalities
Linear Equations
2:32 minutes
Problem 15b
Textbook Question
Textbook QuestionAfter a 20% reduction, you purchase a television for $336. What was the television's price before the reduction?
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Percentage Reduction
Percentage reduction refers to the decrease in value expressed as a percentage of the original price. In this case, a 20% reduction means that the price of the television was lowered by 20% of its original price. Understanding how to calculate percentage reductions is essential for determining the original price from the sale price.
Finding the Original Price
To find the original price after a percentage reduction, you can use the formula: Original Price = Sale Price / (1 - Percentage Reduction). Here, the sale price is $336, and the percentage reduction is 20%, or 0.20 in decimal form. This formula allows you to reverse the reduction and find the initial price before the discount.
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Basic Algebraic Manipulation
Basic algebraic manipulation involves rearranging equations to isolate variables. In this context, you need to manipulate the equation to solve for the original price. This skill is fundamental in algebra, as it allows you to work with equations and find unknown values effectively.
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