# 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.

## 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

$14.99 Satisfied 92 Students ### 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 • $$\color{blue}{x + 42}$$ • $$\color{blue}{15 + x}$$ • $$\color{blue}{56 – x}$$ • $$\color{blue}{\frac {30} {x}}$$ • $$\color{blue}{2x – 25}$$ • $$\color{blue}{4(x + (–12))}$$ The Greatest Books for Students to Ace the Algebra ## Related to This Article ### More math articles ### 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. X 45% OFF Limited time only! Save Over 45% SAVE$40
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