VARIABLE

Variable

Definition Of Variable

Variables are (usually) letters or other symbols that represent unknown numbers or values.

Examples of Variable

The following are examples of algebraic expressions and equations containing variables.
2x + 5 = 10, the variable here is x
7y + 10 = 24, the variable here is y
a² + b², the variables here are a and b

Video Examples: What is a variable?

Solved Example on Variable

Ques: Identify the variables in the equation, y = 3x+2

Choices:

A. 2 and y
B. x and y
C. x and 3
D. 2 and 3
Correct Answer: B

Solution:

Step 1: Variables are letters or other symbols that represent unknown numbers or values
Step 2: Therefore, x and y are the variables in the given equation y = 3x+2

Quick Summary

Variables represent unknown quantities.
They are commonly represented by letters such as x, y, and a.
Variables allow us to express relationships between quantities.

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🍎 Teacher Insights

Emphasize the concept of variables as placeholders for unknown values. Use real-world examples to illustrate how variables are used in different contexts. Provide ample practice problems to reinforce understanding.

🎓 Prerequisites

Basic arithmetic
Understanding of symbols

Check Your Knowledge

Q1: In the equation 3x + 5 = 14, what is the variable?

A. 3 B. 5 C. x D. 14

Q2: Which of the following is an example of an algebraic expression with a variable?

A. 2 + 2 = 4 B. 5 C. y - 3 D. 7 + 9

Frequently Asked Questions

Q: What is the difference between a variable and a constant?
A: A variable represents an unknown value that can change, while a constant is a fixed value that does not change.

Q: Why do we use letters to represent variables?
A: Using letters allows us to generalize mathematical relationships and express them concisely.