Download 6.1 Solving Equations by Using Inverse Operations

Name: ______________________
Date: _____________
Math 9 Chapter 6 Linear Equations and Inequalities
Lesson 1 – 6.1 Solving Equations by Using Inverse Operations
What is an equation?
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You can use ____________________________ to solve equations.
For example: addition and subtraction are inverse operations
Multiplication and Division are inverse operations
Our Goal!
When solving equations, we always want to get the variable (x, a, b, z, etc) by itself
on one side of the equation.
Example 1: Writing Then Solving One-Step Equations
Write then solve an equation to find each number. Verify the solution.
a) A number plus 5 is 20.
b) Four times a number is 32 .
To solve the equation, apply the inverse operations.
Example 2: Solving a Two-Step Equation then verify your solution
a)
3x  4  5
b) 2( 2  y )  18
Example 3: Solve each equation. Verify the solution
a)
C)
5k  6  24
3(3 x  6)  18
b) 3  4 y  9
d)
d
 3  7
7
Example 4: A taxicab charges $2.50, plus $1.78 per kilometre.
How long is a trip that costs $21.19?
Assignments: Pg.272 Q- 8ace, 10ace, 12, 13, 14, 20, 21, 22