Simple Equation – JSS1 Mathematics Lesson Note (Third Term)

Simple equation

This expression, 3 x p p= 18 is an algebraic sentence. It means three times an unknown number is equal to eighteen.

Translate the following equations into words.

5x + 7 = 37 which means if 7 is added to five times a number, the result is 37 

11 = 3x – 1. It means 11 is equal to 3 times a certain number minus one.

True and false statements

EXAMPLES: State whether the following is true or false

X + 8 = 15 ( when x is 7)

3x – 4 = 11 ( when x is 6)

Solution

X + 8 = 15

7 + 8 = 15. Therefore the statement is true.

Solution 

3x – 4 = 11

3*6 – 4 = 11

18 – 4 = 14 therefore the statement is false.

LINEAR EQUATION WITH MIXED OPERATION AND COLLECTION OF LIKE TERMS

When the operation is more than one,

Eliminate the unwanted terms by either adding or subtraction

Then eliminate the coefficient of the unknown by either multiplying or dividing.

Examples

4y – 5 = 7

Solution 

Add 5 to both sides

4y -5 + 5 = 7 + 5

4y = 12

Divide both sides by the coefficient of the unknown

4y/4 = 12/4

Y = 3

5x -10 = 15x -60

Solution

5x – 10 = 15x – 60

Collect the like terms

5x -15 x = -60 + 10

-10x = -50

Divide both sides by -10 (Coefficient of the unknown)

-10x/-10 = -50/ -10

X = 5.

Do these 

Solve the following equation

6m + 2 = 20 + 5m

4c – 8 = 10 – 5c

5x +5 = 35+ 2x

56 +7y = 5y + 16