3 1 Solving One Step Equations using Objective

3. 1 Solving One Step Equations using +/Objective: Solve linear equations using addition and subtraction. Use linear equations to solve real life problems. Standards: A 1. 2. 1, A 1. 2. 6, A 1. 9. 1, A 1. 9. 3, A 1. 9. 4

Terms l Equivalent l Inverse operations l Solution step l Linear equation

Practice Problems l X = 4 -7 l -b = 5 l -3 + c = 7 l I -6 I + y = 11 l 4 = L – (– 4) l 12 – 6 = - n

More Practice l The selling price of a certain video is $ 7 more then the price the store paid. If the selling price is $24, find and equation that will solve for the price the store paid. Solve the equation.

3. 2 Solving One Step Equations using * or ÷ Objective: Solve linear equations using multiplication or division. Use linear equations to solve real life problems. Standards: A 1. 2. 1, A 1. 9. 3, A 1. 9. 4 Vocabulary Quiz Tomorrow

Terms l Similar triangles l Reciprocal

Practice Problems l 10 x = 110 l 30 b = 5 l l 3 c = -5 ½ 4 l -1 y = -6 5 l z = -5 2 ½ x = -20

Similar Triangles 5 ft X ft 10 ft 6 ft

Story Problem l Each household in the United States received about 676 pieced of junk mail per year. About how many pieces of junk mail does a household receive per week?

3. 3 Solving Multi-Step Equations Objective: Use two or more transformations to solve an equation Use Multi-step equations to solve real life problems. Standards: A 1. 1. 3, A 1. 2. 1, A 1. 2. 6, A 1. 9. 1

General Information l The goal is always to get the letter by itself l Use the order of operations in reverse to solve multi step equations. l Remember you can check your answer if you are unsure of the result.

Practice Problems l 2 x + 7 = 15 l 3(x – 2) = 18 l 3 x – 1 = 8 l 22 = 18 – ¼ x l x + 13 = 20 2 l 7 x – 15 = – 1

White Board Practice l One person from each row get materials for your entire row.

3. 4 Solving Equations with Variable on Both Sides Objective: Collect variables on one side of an equation Use equations to solve real life problems. Standards: A 1. 1. 3, A 1. 2. 1, A 1. 2. 6, A 1. 9. 1, A 1. 9. 4, A 1. 9. 5

Terms l All Solutions l No Solution

Steps for Solving Equations 1 st - Remove all grouping symbols 2 nd – Combine same side like terms 3 rd – Combine opposite side like terms 4 th – Move the add or subtract step 5 th – Move the multiply or divide step 6 th – Check your answer

Practice Problems l 4 x + 27 = 3 x l 24 – 6 r = 6(4 – r)

Practice Problems l 7(1 – y) = -3(y – 2) l 6 – (-5 r) = 5 r – 3

Practice Problems l - 7 +11 g = 9 – 5 g l 10(-4 + y) = 2 y

White Board Practice l One person from each row get materials for your entire row.

3. 7 Formulas and Functions Objective: Solve a formula for one of its variables. Rewrite an equation in function form. Standards: A 1. 2. 1, A 1. 2. 2, A 1. 2. 6