Algebraic and Verbal Expressions Flashcards

Algebraic and Verbal Expressions

• Algebraic expressions can be expressed in verbal form to describe mathematical operations.
• Verbal expressions communicate the nature of the operation (sum, difference, product, quotient) clearly.

Conversion Examples

• 9 + 8 translates to "The sum of nine and eight."
• 9 + x translates to "The sum of nine and a number."
• 14 - p translates to "Fourteen decreased by a number p."
• t - 7 translates to "Seven less than a number t."

Operations and Their Verbal Equivalents

• 9 · n or 9n expresses as "The product of 9 and a number n."
• 32 ÷ y translates to "Thirty-two divided by a number y."

Verbal to Algebraic Transformations

• "Five more than twice a number" corresponds to the algebraic expression 2n + 5.
• "The product of a number and 6" is expressed as 6n.
• "Seven divided by twice a number" translates to 7 ÷ 2n.
• "Three times a number decreased by 11" corresponds to 3n - 11.

Key Takeaways

• Patterns exist in verbal descriptions that help identify mathematical operations.
• Familiarizing oneself with the conversion processes enhances understanding of mathematical relationships.