Percent Increase and Decrease Concepts

The lesson revisits percent increase and decrease, focusing on simplifying calculations to a single step using algebraic factoring. It begins with a review of basic factoring concepts, then applies these to calculate percent changes in real-world scenarios, such as salary increases and temperature changes. The lesson emphasizes understanding the algebraic structure behind these calculations, allowing for efficient problem-solving.

What is the main focus of this lesson?

• Understanding algebraic equations

• Studying historical events

• Learning about percent increase and decrease

• Exploring geometric shapes

What is the first step in factoring a binomial?

• Multiplying the terms

• Dividing the terms by 2

• Identifying the greatest common factor

• Finding the sum of the terms

How do you calculate a 5% raise on a $340 salary?

• Add $34 to $340

• Multiply $340 by 0.05

• Multiply $340 by 0.5

• Subtract $17 from $340

What is the advantage of using a single calculation for percent increase?

• It is only useful for small percentages

• It increases the accuracy of the result

• It reduces the number of steps needed

• It allows for more complex calculations

If a salary is increased by 18%, what number should you multiply the original salary by?

• 1.08

• 0.18

• 1.18

• 0.08

How do you find the new volume after an 8% decrease from 250 gallons?

• Multiply 250 by 0.92

• Multiply 250 by 1.08

• Add 20 to 250

• Subtract 20 from 250

What is the single calculation method for percent decrease?

• Add the decimal rate to 1

• Subtract the decimal rate from 1

• Multiply the decimal rate by 2

• Divide the decimal rate by 2

To decrease a quantity by 25%, what should you multiply it by?

• 1.75

• 0.25

• 1.25

• 0.75

What is the key takeaway from this lesson?

• Understanding single-step calculations for percent changes

• Learning complex algebraic equations

• Exploring historical mathematical theories

• Studying the properties of geometric shapes