Understanding Discounts and Properties of Expressions

The video tutorial covers simplifying expressions with rational numbers, focusing on the distributive property and handling negative numbers. It introduces percents, explaining how to convert them to decimals and use them in calculations. The tutorial provides shortcuts for percent calculations and applies these to various problems. It concludes with handling increases and decreases in values using expressions.

What property is used when you see parentheses in an expression?

• Associative Property

• Distributive Property

• Identity Property

• Commutative Property

How do you handle subtraction in expressions to simplify them?

• Change subtraction to multiplication

• Change subtraction to addition

• Change subtraction to adding the opposite

• Change subtraction to division

What is the commutative property used for in expressions?

• To change the order of terms

• To simplify fractions

• To distribute terms

• To factor out common terms

How do you convert a percentage to a decimal?

• Divide by 10

• Multiply by 100

• Move the decimal two places to the left

• Add a zero at the end

What does 'of' signify in mathematical expressions involving percentages?

• Division

• Addition

• Subtraction

• Multiplication

What is the shortcut to find the amount you pay after a discount?

• Add the discount percentage to the original price

• Multiply the original price by the discount percentage

• Subtract the discount percentage from 1 and multiply by the original price

• Subtract the discount from the original price

How do you express a 20% discount using an expression?

• Multiply by 0.8

• Multiply by 1.8

• Multiply by 0.2

• Multiply by 1.2

What is the equivalent expression for a 33% increase?

• X / 0.33

• X * 0.67

• X + 0.33X

• X - 0.33X

If an item is increased by 33%, what is the new expression?

• 0.67X

• 1.33X

• 1.67X

• 0.33X

How do you find the discounted price if the original price is X and the discount is 33%?

• X / 0.33

• X * 0.67

• X + 0.33X

• X - 0.33X