# 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.

## Related Topics

- How to Simplify Polynomial Expressions
- How to Simplify Variable Expressions
- How to Use the Distributive Property
- How to Evaluate One Variable
- How to Evaluate Two Variables

## 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.

**The Absolute Best Book to Ace Pre-Algebra**

### 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

**A Perfect Practice Workbook for Algebra I**

### 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

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

**Best Algebra Prep Resource**

## Related to This Article

### More math articles

- How to Navigating Complex Scenarios: Multi-step Word Problems with Remainders
- 8th Grade AZMerit Math Worksheets: FREE & Printable
- Quotient Quest: How to Estimate Division with Two-Digit Divisors
- 6th Grade ISTEP Math Worksheets: FREE & Printable
- FREE 4th Grade Georgia Milestones Assessment System Math Practice Test
- 6th Grade PARCC Math Worksheets: FREE & Printable
- 4th Grade NYSE Math Practice Test Questions
- The Ultimate 7th Grade NYSTP Math Course (+FREE Worksheets)
- Math Courses Required For A Business Degree
- 10 Most Common ALEKS Math Questions

## What people say about "How to Translate Phrases into an Algebraic Statement? (+FREE Worksheet!) - Effortless Math: We Help Students Learn to LOVE Mathematics"?

No one replied yet.