FIRST DEGREE EQUATIONS

First Degree Equations

Definition Of First Degree Equations

The equations in which the highest exponent is 1 are called the First Degree Equations.

More About First Degree Equations

All linear equations are first degree equations.
Equation of a straight line is a first degree equation.

Video Examples: Solving First Degree Equations

Example of First Degree Equations

Consider the equation 3x + 5 = 6.
The highest exponent of the variables in this equation is 1.
So, 3x + 5 = 6 is a first degree equation.

Solved Example on First Degree Equations

Ques: Identify the first degree equation from the following.

Choices:

A. 8x - y = 3
B. 5x + 4x² = 7x
C. 7x³ - 8x² + 9x + 3 = 0
D. x² + 2x + 1 = 0
Correct Answer: A

Solution:

Step 1: The equations in which the highest exponent is 1 are called the first degree equations.
Step 2: Here, only 8x - y = 3 has 1 as its highest exponent.
Step 3: So, 8x - y = 3 represent a first degree equation.

Quick Summary

Linear equations are first-degree equations.
The graph of a first-degree equation in two variables is a straight line.
First-degree equations can be solved to find the value of the variable that satisfies the equation.

\[ ax + b = c \]

🍎 Teacher Insights

Emphasize the connection between first-degree equations and linear functions. Use visual aids to illustrate the concept of the exponent. Encourage students to practice solving a variety of first-degree equations.

🎓 Prerequisites

Basic Algebra
Understanding of Variables
Knowledge of Exponents

Check Your Knowledge

Q1: Which of the following is a first-degree equation?

A. x^2 + 2x + 1 = 0 B. 3x + 5 = 6 C. x^3 - 4x = 0 D. x^4 + 1 = 0

Q2: Solve the equation 2x - 4 = 0

A. x = 0 B. x = 1 C. x = 2 D. x = 3

Frequently Asked Questions

Q: What is a first-degree equation?
A: A first-degree equation is an equation where the highest power of the variable is 1.

Q: Are all linear equations first-degree equations?
A: Yes, all linear equations are first-degree equations.