Form 2 Unit 6 Lesson 2- Linear Equations with the Unknown Quantity on Both Sides of the Equation

Objective:

At the end of the lesson, students should be able to solve equations with the unknown quantity on both sides of the equation.

In this lesson, we will be working with equations with a variable on both sides of the equation.

The equation will be rearranged in such a way that the unknowns will be grouped on one side of the equality sign and numbers without variables will be put on the other side of the equality sign.

When an unknown quantity or number crosses over the equal sign, its sign or its direction changes (i.e., if it was negative, it becomes a positive and vice versa).

Example 1

Solve:

1) 6x – 3 = 2x + 1                                2) 5x  + 4 = 3x  + 1

Solution

Example 2

Solve the following equations:

1) 4 x + 12 = 16              2) 2x  – 6 = –8                    3) 17 = 2  x+ 1

Solution

NOTE:

ALWAYS CHECK YOUR ANSWERS AFTER SOLVING AN EQUATION BY IMPUTING YOUR VALUE OF THE UNKNOWN INTO THE ORIGINAL EQUATION. IT IS GOOD PRACTICE.