Lecture Week 1
EFIKO LECTURE SERIES Tutorial 1A Subject: Mathematics Topic: Linear Equations Objective: To introduce students to Linear Equations.
Prerequisite for this tutorial: Arithmetic of positive and negative numbers (addition, subtraction, multiplication and division)
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Definition: Linear equation is a mathematical expression that has an equal sign (=) and contain ONLY ONE unknown (such as “x”, “y”, “a”, “b” etc.).
Let us take a closer look at the expression 3 + 5
If we add 3 and 5 together (two like terms), the answer is 8
This can be written mathematically as 3 + 5 = 8
If we replace the 3 with say x, the expression above becomes x + 5 = 8
The expression x + 5 = 8 is an equation. Solving this equation means finding the value of x which we know from above is 3.
The unknown (x above) can be in different position. Thus the equation x + 5 = 8 is the same as the equation 5 + x = 8.
x – 7 = 10
3x – 2 = 4
-2x – 7 + 5x = 12
Can you think of other examples? Post it on your wall.
Features of linear equations:
A linear equation has the following features: 1. There is only one unknown. Thus the equation x + 3 – y = 9 is not a linear equation (it contains two unknown x and y) 2. The unknown cannot have exponents (or powers): For example, x squared or x^2. Thus x^2 + 3 = 8 is not a linear equation. 3. The unknown cannot multiply or divide each other i.e. x*x, y/y, b*b*b etc. 4. The unknown cannot be found under a root sign i.e. vx Assignment 1: A. Which among the following is a not a linear equation: 1. 2x + 9 = 12 + 3x 2. x + 5 = 9 + y 3. 4m * 2m = 24 4. -5x – 7 = 12 + x 5. P^2 – 9 = 3p B. List five examples of linear equations. Tutorial 1B on linear equations will be posted by 12pm tomorrow (July 4th, 2013). Invite your friend. KEEP ON LEARNING & WINNING WITH EFIKO.