The document provides information about solving linear equations in 3 sentences or less: The document defines a linear equation as an algebraic equation where each term has an exponent of 1 and when graphed results in a straight line. It provides examples of solving simple linear equations by adding or subtracting the same number from both sides of the equation to isolate the variable. The document also explains that for more complex linear equations, the same process of adding or subtracting numbers from both sides is used but multiple steps may be required to isolate the variable.

2. OBJECTIVES
Able to know to solve linear equations

3. LET US DO ACTIVITY

5. Definition:
A linear equation is an algebraic equation where each
term has an exponent of 1 and when this equation is
graphed, it always results in a straight line. This is the
reason why it is named as a 'linear' equation.
Example:
2x + 5 = 11
3h – 9 = 9

8. (a) x + 3 = 8 (b) x - 8 = 11
(a) To solve this equation, subtract 3 from both
sides.
x + 3 = 8
x + 3 - 3 = 8 - 3
X = 5.
(b) To solve this equation, add 8 to both sides.
x - 8 = 11
x - 8 + 8 = 11+ 8
X = 19.

9. (c) 4x = 32 (d) x/6 = 7

11. l Solving linear equations
l We can solve very simple linear equations by inspection.
l For
example:
l We think of this as: “What
number subtracted from 19
gives us an answer of 8?”
l 19 – x = 8
l x = 11
We think of this as:
“What number
multiplied by 7 gives
us an answer of 42?”
l 7x = 42
l x = 6

12. l For
example:
l 4x + 5 = 29
4x = 24
l subtract 5 from both
sides:
l – 5
l – 5
l ÷ 4
l ÷ 4
l divide both sides by
4:
x = 6

14. Solve the following problems:
a) 3x + 1 = 16
b) n + 7 = 13
c) 13x − 15 = 24
d) 2x + 2 = 40
e) 2x + 5 = 9
f) 4x = 72