1. One step equation with Multiplication and Division

2. Introduction What is an equation?
An equation is a mathematical statement that
shows 2 quantities are equal. An equation contains
an equal sign.
12 – 3 = 9 Numerical
3a = 30 Algebraic

3. Steps for Solving One-Step Equations
1) Get the variable on one side of the equation.
2) You always perform the same operation to
both sides of an equation.
3) To undo an operation you perform its opposite
operation to both sides of the equation.

4. Opposite operations
The opposite of add is
SUBTRACT
The opposite of subtract is
ADD
The opposite of multiply is
DIVIDE
The opposite of divide is
MULTIPLY

5. Solving Equations Using Multiplication or Division
Rule 3: If a variable has been multiplied by a nonzero number, divide both sides by that number. Rule 4: If a variable has been divided by a number, multiply both sides by that number.

6. multiplied by 4, so divide
Example 1: Solve 4n = 20
Solution:
Equals 4n = 20
RHS
LHS
Variable/
Unknown
4 x n = 20
Hint : 4n = 4 x n
Constants
Get the variable on one side of the equation.
We keep variable n on the Left Handside(LHS) and move constant to the Right Handside(RHS) =
By rule 4, a variable is
multiplied by 4, so divide
both sides by 4 n = 5
Ans: n = 5

7. By multiplication rule of integers,
Example 2: Solve
Solution:
Equals = 4
RHS
LHS
Variable/
Unknown = 4
Constants
Get the variable on one side of the equation.
We keep variable f on the Left Handside(LHS) and move constant to the Right Handside(RHS)
By rule 3, a variable is
divided by 9, so multiply
both sides by 9 =
4 x -9
By multiplication rule of integers,
- x + = - f
= 4 x -9
= -36
Ans: f = -36

8. 7m = -49 7 x m = -49 = m = -7 LHS Example 3: Solve 7m = -49 Solution:
Equals 7m =
-49
RHS
LHS
Variable/
Unknown
7 x m =
-49
Hint : 7m = 7 x m
Constants
Get the variable on one side of the equation.
We keep variable m on the Left Handside(LHS) and move constant to the Right Handside(RHS)
By Division rule of integers,
- ÷ + = -
By rule 4, a variable is
multiplied by 7 so divide
both sides by 7 = m
= -7
Ans: m = -7

9. = 5 = 5 = 5 x 2 n = 5 x 2 = 10 LHS Example 4: Solve Solution: Equals
RHS
LHS
Variable/
Unknown = 5
Constants
Get the variable on one side of the equation.
We keep variable n on the Left Handside(LHS) and move constant to the Right Handside(RHS) =
5 x 2
By rule3, a variable is
divided by 2, so multiply
both sides by 2 n
= 5 x 2
= 10
Ans: n = 10

10. Try these
8m = 96
12h = -24