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Exercises Numbers, fractions and percents

Example 1.26 from Elementary Algebra, 1.2 Use the Language of Algebra

Use the Language of Algebra: example 1.26

Translate the English phrase into an algebraic expression: ⓐ Seventeen more than y ⓑ Nine less than $9 x^{2} .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

1
Solution
1. ⓐ The key words are more than. They tell us the operation is addition. More than means “added to.”
  
  $\begin{matrix} Seventeen more than y \\ Seventeen added to y \\ y + 17 \end{matrix}$
2. ⓑ The key words are less than. They tell us to subtract. Less than means “subtracted from.”
  
  $\begin{matrix} Nine less than 9 x^{2} \\ Nine subtracted from 9 x^{2} \\ 9 x^{2} - 9 \end{matrix}$

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Translate the English phrase into an algebraic expression: ⓐ Eleven more than $x$ ⓑ Fourteen less than $11 a .$

How did it go?

PreviousUse the Language of Algebra: example 1.25 Next Use the Language of Algebra: example 1.27

From Elementary Algebra (1st edition) by OpenStax (Rice University), section 1.2, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.