**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.

5*a*+ 3*b*, ,

**Solved Example on Variable Expression **

Charles and Dennis fired 20 shots each to hit a target. Each person gets

ppoints for a hit and losesqpoints 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

Correct Answer: B

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- 6qand 12p- 8qrespectively.

**Related Terms for Variable Expression**

- Variable
- Constant