Algebraic Expressions and Equations

Mr. Tarrou explains the process of converting real-life scenarios into algebraic expressions. He provides a range of examples from simple to complex, including profit calculations and geometry problems. The video emphasizes the importance of understanding algebra as a tool for solving real-world problems.

What is the primary purpose of converting sentences into algebraic expressions?

• To avoid using numbers

• To make sentences longer

• To solve real-life problems using math

• To confuse students

If 'three more than a number' is expressed algebraically, which of the following is correct?

• 3x

• x - 3

• x + 3

• 3 - x

How would you express 'five less than twice a number' in algebraic terms?

• 5x - 2

• 5 - 2x

• 2x - 5

• 2x + 5

What is the formula for calculating profit in a business scenario?

• Revenue - Cost

• Cost + Revenue

• Revenue + Cost

• Cost - Revenue

In the context of a cellphone plan, if you start with 400 minutes and use 120 minutes per week, how would you express the remaining minutes after 'w' weeks?

• 400w - 120

• 120w - 400

• 400 - 120w

• 400 + 120w

How do you calculate the area of a rectangle if the width is 'x' and the length is three times the width?

• x + 3

• 3x

• x^2

• 3x^2

In an isosceles triangle, if the top angle is 'x' degrees, how would you express the measure of each base angle?

• 2x - 180

• (180 - x) / 2

• 180 - 2x

• x / 2

If two cars travel in opposite directions, one at twice the speed of the other, how would you express the distance between them after 4 hours?

• 4r

• 16r

• 8r

• 12r

A school sells $3 student tickets and 50 fewer $5 adult tickets. How would you express the total revenue?

• 5x + 3(x - 50)

• 3x + 5x

• 3x - 5(x - 50)

• 3x + 5(x - 50)

What is the expression for the sum of two consecutive even integers?

• x + x + 2

• 2x + 2

• x + x + 1

• x + 2x