# Online Algebra Tutoring: Variable Expressions

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## Learn Variable Expressions from Certified Online Algebra Tutor

A **variable** is a symbol or an alphabetical letter used to represent an unknown number in an expression or an equation. The value of this number can vary. A variable expression is a **math expression** that consists of variables, numbers and operations **(like add,subtract, multiply, and divide)**

To translate verbal phrases into variable expressions. Look for key words that indicate **addition**, **subtraction**, **multiplication**, **division**.

### Key Words:

**Addition:** plus, the sum of, increased by, total, more than, added to.

**Subtraction:** minus, the difference of, decreased by, fewer than, less than, subtracted from.

**Multiplication:** times, the product of, multiplied by, of.

**Division:** divided by, the quotient of.

### Let’s understand with an example

The product of two and a number increased by nineteen.

The product of two and a number increased by nineteen. (LOOK FOR KEYWORDS)

**Product of** indicates multiplication

**Increased by** indicates addition

To write variable expression, assign a variable to represent the unknown number. You can take any alphabetical letter of your choice!

**The product of two and a number increased by nineteen.**

### Check Point:

Directions: Choose the algebraic expression that correctly represents the phrase provided. Select your answer

#### A) Twenty less than twice a number

**1.20 – 2x**

**2.2x+20**

**3.2x – 20**

**4.None o the above**

#### B) Three times a number increased by sixteen

**1.3(a + 16)**

**2.3a + 16**

**3.(16 + 3)a**

**4.None of the above.**

#### C) The product of eight and a number decreased by five.

**1.8(m – 5)**

**2.5(8 – m)**

**3.8m – 5**

**4.None of the above**

#### D) Sixty divided by nine times a number

**1.60 + 9n**

**2.9n/60**

**3.60/9n**

**4.None of the above**

#### E) Sarah earns $10 a day working part time at a supermarket. Write a variable expression to represent the amount of money she will earn in p days.

**1)10p**

**2)10/p**

**3)10 + p**

**4)None of the above**

### Answer key

**A)2x -20**

**B)3a +16**

**C)8m-5**

**D)60/9n**

**E)10p**

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