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.
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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.
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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
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Write an algebraic expression for each phrase.
- The 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
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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