# 3.1 Solving One Step Equations using +/- Objective: Solve linear equations using addition and subtraction. Use linear equations to solve real life problems.

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3.1 Solving One Step Equations using +/- Objective: Solve linear equations using addition and subtraction. Use linear equations to solve real life problems. Standards: A1.2.1, A1.2.6, A1.9.1, A1.9.3, A1.9.4

Terms Equivalent Inverse operations Solution step Linear equation

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

More Practice 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: A1.2.1, A1.9.1, A1.9.3, A1.9.4 Vocabulary Quiz Tomorrow

Terms Similar triangles Reciprocal

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

Similar Triangles 6 ft 10 ft 5 ft X ft

Story Problem 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: A1.1.3, A1.2.1, A1.2.6, A1.9.1

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

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

White Board Practice 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: A1.1.3, A1.2.1, A1.2.6, A1.9.1, A1.9.4, A1.9.5

Terms All Solutions 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 4x + 27 = 3x 24 – 6r = 6(4 – r)

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

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

White Board Practice 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: A1.2.1, A1.2.2, A1.2.6

Terms Formula Function form

Practice Solve for h in the given formulas A = bh V = lwh V =  r 2 h

Function form Rewrite the following in function form 2x + y = 512 = 12x – 2y

Function Form -3x + 4y – 5 = -14 2x = -3y + 10

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

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