How to Translate Phrases into an Algebraic Statement? (+FREE Worksheet!)

To solve some algebra problems, sometimes you need to translate phrases into algebraic statements then solve the problem.

How to Translate Phrases into an Algebraic Statement? (+FREE Worksheet!)

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Step by step guide to translating phrases into an algebraic Statement

Translating key words and phrases into algebraic expressions:

  • Addition: plus, more than, the sum of, etc.
  • Subtraction: minus, less than, decreased, etc.
  • Multiplication: times, product, multiplied, etc.
  • Division: quotient, divided, ratio, etc.

Translate Phrases into an Algebraic Statement – Example 1:

Write an algebraic expression for this phrase “\(12\) times the sum of \(5\) and \(x\)”.

Solution:

Sum of \(5\) and \(x: 5 \ + \ x\). Times means multiplication. Then: \(12 \ × \ (5 \ + \ x)\)

Translate Phrases into an Algebraic Statement – Example 2:

Write an algebraic expression for this phrase. “Nine more than a number is \(18\)”

Solution:

More than mean plus, a number \(=x\)
Then: \(9 \ + \ x=18\)

Translate Phrases into an Algebraic Statement – Example 3:

Write an algebraic expression for this phrase. “Eight more than a number is \(20\)”

Solution:

More than mean plus, a number \(=x\)
Then: \(8+x=20\)

Translate Phrases into an Algebraic Statement – Example 4:

Write an algebraic expression for this phrase. “\(5\) times the sum of \(8\) and \(x\)”

Solution:

Sum of \(8 \) and \(x: 8+x\). Times means multiplication. Then: \(5×(8 +x)\)

Exercises for Translating Phrases into an Algebraic Statement

Write an algebraic expression for each phrase.

  • A number increased by forty–two.
  • The sum of fifteen and a number
  • The difference between fifty–six and a number.
  • The quotient of thirty and a number.
  • Twice a number decreased by \(25\).
  • Four times the sum of a number and \(– 12\).

Download Translate Phrases into an Algebraic Statement Worksheet

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Answers

  • \(\color{blue}{x + 42}\)
  • \(\color{blue}{15 + x}\)
  • \(\color{blue}{56 – x}\)
  • \(\color{blue}{\frac {30} {x}}\)
  • \(\color{blue}{2x – 25}\)
  • \(\color{blue}{4(x + (–12))}\)

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