﻿ Definition and examples variable expression | define variable expression - Free Math Dictionary Online

# Variable Expression

## Definition of Variable Expression

A variable expression is a combination of numbers (or constants), operations, and variables.

### Examples of Variable Expression

The following are examples of variable expressions.

### Solved Example on Variable Expression

#### Ques: Charles and Dennis fired 20 shots each to hit a target. Each person gets p points for a hit and loses q points for a miss. Charles hits the mark 14 times and Dennis hits the mark 12 times. Identify the variable expressions for their individual scores.

##### Choices:
A. 12p, 14q
B. 14p - 6q, 12p - 8q
C. 14p, 12q
D. 14p - 6, 12p - 8

#### Solution:

Step 1: Points scored by each person = Number of hits 'p' - Number of missed hits 'q'.
Step 2: Number of hits that Charles missed = (20 - 14) = 6. [Subtract.]
Step 3: The variable expression for the points scored by Charles is 14p - 6q.
Step 4: Number of hits that Dennis missed = (20 - 12) = 8. [Subtract.]
Step 5: The variable expression for the points scored by Dennis is 12p - 8q.
Step 6: So, the variable expressions for the points scored by Charles and Dennis are 14p - 6q and 12p - 8q respectively.

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