Math 9 Section 6.2 Linear Equations and Inequalities Date: ____________

Learning Intentions: I can solve algebra equations by using algebra tiles or balance scales. Curricular Competency: Communicating and Representing I can represent mathematical ideas in concrete, pictorial, and symbolic forms. Solving Equations: To solve an equation, isolate the variable on one side of the equation. Everything we do to one side of the equation must be done to the other side. Example 1: Modelling Equations with Variables on Both Sides

Solve: 3 2 6x x+ = + then check a) Isolate x to solve the equation Pictorial Solution Algebraic Solution

Example 2: Using Algebra Tiles to Solve an Equation Solve: −2𝑛𝑛 + 5 = 3𝑛𝑛 − 5 Algebra Tile Model Algebraic Solution

Math 9 Section 6.2 Linear Equations and Inequalities Date: ____________

Example 2: Solving Equations with Rational Coefficients

Solve: 2 143 2

x + =

Solve: 3 2(1 3 ) (2 3 )2 3

x x+ = −

Example 3: A cell phone company offers two plans. Plan A: 100 free minutes, $0.75 per additional minute Plan B: 60 free minutes, $0.25 per additional minute

Which time for calls will result in the same cost for both plans? Choose Your Own Adventure: Option A: pg. 280 # 4, 6ac, 10ace, 11ace Option B: pg. 281 # 14, 17ac, 19ac, 21ac