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Algebra Shorthand: Translate to Algebra

publish date: 2026/05/23 05:12:48.189886 UTC

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Match each instruction in ordinary language to its equivalent algebraic expression.

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Ordinary Language

Think of a number, add 7 to it and double the result
Choose a number, multiply it by 5, add 2, square this expression, and divide the result by 8
Take a number, subtract 3 from it, then multiply by 4
Square a number and add twice the number

Algebraic Form

\(2(x + 7)\)
\(\frac{(5x+2)^2}{8}\)
\(x^2 + 2x\)
\(4(x - 3)\)

Correct Answer

(1) Think of a number, add 7 to it and double the result,\(2(x + 7)\)
(2) Choose a number, multiply it by 5, add 2, square this expression, and divide the result by 8,\(\frac{(5x+2)^2}{8}\)
(3) Take a number, subtract 3 from it, then multiply by 4,\(4(x - 3)\)
(4) Square a number and add twice the number,\(x^2 + 2x\)

Explanation

Algebra acts as a shorthand for mathematics: verbal instructions can be translated precisely into symbolic form. The strength of algebraic notation is that it is shorter to write, easier to read, and simpler to manipulate than equivalent verbal descriptions.

Reference

Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012

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