# Translating a Phrase Into a One-Step Expression

A **mathematical phrase** is a set of words or a combination of words and numbers that can be written as a mathematical expression.

An **algebraic expression** is a mathematical phrase that can contain ordinary numbers, variables (like x or y) and operators (like add, subtract, multiply, and divide). Here are some algebraic expressions: a + 1. a - b. 3x

Write a one-step expression to translate the phrase ‘the quotient of a and 8’

### Solution

**Step 1:**

The word quotient implies the division operation

So we understand that there is division operation involving a and 8.

**Step 2:**

So we write a one-step expression translating given phrase as follows a ÷ 8 or a/8

Write a one-step expression to translate the phrase ‘the difference of 11 and x’

### Solution

**Step 1:**

The word difference implies the subtraction operation.

So we understand that there is subtraction operation involving 11 and x and the order of 11 and x is important.

**Step 2:**

So the one-step expression translating given phrase is 11 – x.