Algebra I: Translating Words Into Symbols (Level 1 of 2)

The video tutorial explains how to translate mathematical phrases into algebraic expressions using symbols and variables. It covers common phrases associated with addition, subtraction, multiplication, and division, and highlights common mistakes. The tutorial also introduces formulas for calculating area, perimeter, distance, and cost, emphasizing the importance of understanding both numerical and variable expressions. Examples are provided to illustrate how to apply these concepts in practical scenarios.

Which of the following phrases correctly translates to the expression 'x + 5'?

• 5 less than a number

• A number increased by 5

• The quotient of a number and 5

• The product of 5 and a number

How should the phrase '5 less than a number' be correctly expressed in algebraic terms?

• 5 + x

• x + 5

• x - 5

• 5 - x

What is the algebraic expression for 'the product of 5 and a number'?

• 5 + x

• 5 - x

• 5x

• x/5

Which phrase corresponds to the expression 'x/5'?

• The product of a number and 5

• The sum of a number and 5

• The quotient of a number and 5

• The difference between a number and 5

What is the formula for the area of a rectangle?

• A = l + w

• A = l * w

• A = 2l + 2w

• A = l - w

If the length of a rectangle is x and the width is 5, what is the expression for its perimeter?

• x + 10

• 2x + 5

• 5x

• 10 + 2x

How would you express the total cost of buying 3 items, each costing P dollars?

• 3 - P

• P/3

• 3P

• 3 + P