Algebraic Expressions from Scenarios

The video tutorial explains how to create algebraic expressions for various scenarios involving percentages. It begins with a review of converting percentages to decimals and then applies this knowledge to calculate a tip, sales tax, interest from mutual funds, and profit or loss from investments. Each scenario is broken down into steps to form the correct algebraic expression.

How do you convert a percentage to a decimal?

• Divide by 10

• Multiply by 100

• Add a zero at the end

• Move the decimal point two places to the left

What is the decimal equivalent of 17%?

• 0.017

• 1.7

• 17.0

• 0.17

If the dinner bill is represented by D, what is the expression for a 17% tip?

• 0.17 + D

• 0.17 * D

• D / 0.17

• D - 0.17

What is the decimal form of 8.5%?

• 0.085

• 0.85

• 8.5

• 0.0085

How would you express 8.5% of an item costing X?

• X - 0.085

• 0.085 * X

• 0.085 + X

• X / 0.085

What is the expression for 5% interest on fund A?

• 5 * A

• A / 0.05

• 0.05 * A

• 0.5 * A

If fund B earns 7% interest, how is it represented algebraically?

• B / 0.07

• 0.7 * B

• 7 * B

• 0.07 * B

What is the expression for the total interest from funds A and B?

• 0.5A + 0.7B

• 0.05A + 0.07B

• 5A + 7B

• A + B

How do you express an 8% profit on fund X?

• 0.08 * X

• X / 0.08

• 0.8 * X

• 8 * X

What is the expression for a 6% loss on fund Y?

• 6 * Y

• -0.06 * Y

• 0.06 * Y

• -6 * Y