Algebraic Expressions and Operations

The video tutorial explains how to translate words into algebraic expressions using keywords for mathematical operations such as addition, subtraction, multiplication, division, exponents, and equality. It provides examples for each operation and demonstrates how to handle complex expressions with parentheses. The tutorial also includes practical examples to illustrate the translation of phrases into algebraic expressions.

Which of the following is a keyword for addition in algebraic expressions?

• Sum of

• Product of

• Less than

• Quotient of

What does the phrase '5 more than a number' translate to in algebraic terms?

• x/5

• x - 5

• x + 5

• 5x

Which keyword is used for subtraction in algebraic expressions?

• Increased by

• Less than

• Multiplied by

• Divided by

How would you express 'a number decreased by seven' in algebraic form?

• 7x

• x - 7

• x/7

• x + 7

What is a keyword for multiplication in algebraic expressions?

• Ratio of

• Product of

• Difference of

• Sum of

Translate 'three times a number' into an algebraic expression.

• x/3

• 3x

• 3 - x

• 3 + x

What is the algebraic expression for 'two thirds of a number'?

• 2/3 - x

• x/2/3

• 2/3x

• 2/3 + x

What does 'twice a number' translate to in algebraic expressions?

• x/2

• x - 2

• 2x

• x + 2

Which of the following is a keyword for division in algebraic expressions?

• Quotient of

• Squared

• Product of

• Increased by

How would you express 'the quotient of a number and three' in algebraic terms?

• x + 3

• x - 3

• 3x

• x/3