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Lesson 2-3 Solving Multi-Step Equations

Lesson 2-3 Solving Multi-Step Equations. Objectives: To use the Distributive Property when combining like terms and when solving equations. And why?. In Example 2, this skill is used to solve a problem when building a fence. These are the steps to …. 5 Steps (details)

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Lesson 2-3 Solving Multi-Step Equations

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  1. Lesson 2-3Solving Multi-Step Equations Objectives: To use the Distributive Property when combining like terms and when solving equations.

  2. And why? • In Example 2, this skill is used to solve a problem when building a fence.

  3. These are the steps to … 5 Steps (details) Copyright 2005 Edwin Ellis www.GraphicOrganizers.com Solve Multi-step Equations Name Step 5 Step 4 Step 3 Step 2 Step 1 Gist of step Gist of step Gist of step Gist of step Gist of step Details Details Details Details Details Eliminate Fractions And Decimals Use the LCD Multiply both sides (each term) by the LCD Five Steps Why are these steps important?

  4. These are the steps to … 5 Steps (details) Copyright 2005 Edwin Ellis www.GraphicOrganizers.com Solve Multi-step Equations Name Step 5 Step 1 Step 4 Step 3 Step 2 Gist of step Gist of step Gist of step Gist of step Gist of step Details Details Details Details Details Remove Parenthesis Use Distributive Property Eliminate Fractions And Decimals Use the LCD Distribute: Multiply any term on the outside by each term on the inside. Multiply both sides (each term) by the LCD Five Steps Why are these steps important?

  5. These are the steps to … 5 Steps (details) Copyright 2005 Edwin Ellis www.GraphicOrganizers.com Solve Multi-step Equations Name Step 5 Step 1 Step 4 Step 2 Step 3 Gist of step Gist of step Gist of step Gist of step Gist of step Details Details Details Details Details Remove Parenthesis Use Distributive Property Combine Like Terms Same variables and exponents Eliminate Fractions And Decimals Use the LCD Multiply both sides (each term) by the LCD Add or subtract (according to the sign in front of the term) variables with variables, and constants with constants. Do this on the left. Do this on the right. Distribute: Multiply any term on the outside by each term on the inside. Five Steps Why are these steps important?

  6. These are the steps to … 5 Steps (details) Copyright 2005 Edwin Ellis www.GraphicOrganizers.com Solve Multi-step Equations Name Step 5 Step 1 Step 4 Step 2 Step 3 Gist of step Gist of step Gist of step Gist of step Gist of step Details Details Details Details Details Combine Like Terms Same variables and exponents Eliminate Fractions And Decimals Use the LCD Isolate the variable By itself Remove Parenthesis Use Distributive Property Multiply both sides (each term) by the LCD Add or subtract (according to the sign in front of the term) variables with variables, and constants with constants. Do this on the left. Do this on the right. If variables are on both sides of the equal sign, isolate the variable by adding or subtracting. Distribute: Multiply any term on the outside by each term on the inside. Five Steps Why are these steps important?

  7. These are the steps to … 5 Steps (details) Copyright 2005 Edwin Ellis www.GraphicOrganizers.com Solve Multi-step Equations Name Step 4 Step 1 Step 3 Step 2 Step 5 Gist of step Gist of step Gist of step Gist of step Gist of step Details Details Details Details Details Remove Parenthesis Use Distributive Property Golden Rule of Equations “ Do unto one side and you do unto the other.” Combine Like Terms Same variables and exponents Eliminate Fractions And Decimals Use the LCD Isolate the variable By itself If variables are on both sides of the equal sign, isolate the variable by adding or subtracting. Distribute: Multiply any term on the outside by each term on the inside. Multiply both sides (each term) by the LCD Add or subtract (according to the sign in front of the term) variables with variables, and constants with constants. Do this on the left. Do this on the right. At this point, a two-step equation (or less) should appear. Add or subtract first. Then multiply or divide. Five Steps Why are these steps important?

  8. These are the steps to … 5 Steps (details) Copyright 2005 Edwin Ellis www.GraphicOrganizers.com Solve Multi-step Equations Name Step 3 Step 5 Step 1 Step 4 Step 2 Gist of step Gist of step Gist of step Gist of step Gist of step Details Details Details Details Details Isolate the variable By itself Remove Parenthesis Use Distributive Property Golden Rule of Equations “ Do unto one side and you do unto the other.” Eliminate Fractions And Decimals Use the LCD Combine Like Terms Same variables and exponents Add or subtract (according to the sign in front of the term) variables with variables, and constants with constants. Do this on the left. Do this on the right. Distribute: Multiply any term on the outside by each term on the inside. Multiply both sides (each term) by the LCD If variables are on both sides of the equal sign, isolate the variable by adding or subtracting. At this point, a two-step equation (or less) should appear. Add or subtract first. Then multiply or divide. Five Steps Why are these steps important? Many Real World Problems can be solved by writing an equation and solving. Also, upper level math classes require you to solve equations. Solving Equations is on the AHSGE.

  9. Ex. 1a) 3x – 4x + 6 = -2 Ex. 1b) 7 = 4m – 2m + 1 Examples

  10. Ex. 1c) -2y + 5 + 5y = 14 Ex 1d) -3z + 8 + (-2z) = -12 Examples

  11. Examples Ex. 2) A carpenter is building a rectangular fence for a playground. One side of the playground is the wall of a building 70 ft wide. He plans to use 340 ft of fencing material. What is the length of the playground if the width is 70 ft?

  12. Ex. 3a) 3(k+8) = 21 Ex 3b) 15 = -3(x-1) + 9 Solving using Distributive Property

  13. Ex. 4a) m/4 + m/2 = 5/8 Ex 4b) 2x/3 – 5x/8 = 26 Solving with Fractions

  14. Ex 5a) 0.025x + 22.95 = 23.65 Ex 5b) 1.2x – 3.6 + 0.3x = 2.4 Solving with Decimals

  15. These are the steps to … 5 Steps (details) Copyright 2005 Edwin Ellis www.GraphicOrganizers.com Solve Multi-step Equations Name Step 4 Step 1 Step 3 Step 2 Step 5 Gist of step Gist of step Gist of step Gist of step Gist of step Details Details Details Details Details Remove Parenthesis Use Distributive Property Golden Rule of Equations “ Do unto one side and you do unto the other.” Combine Like Terms Same variables and exponents Eliminate Fractions Use the LCD Isolate the variable By itself If variables are on both sides of the equal sign, isolate the variable by adding or subtracting. Distribute: Multiply any term on the outside by each term on the inside. Multiply both sides (each term) by the LCD Add or subtract (according to the sign in front of the term) variables with variables, and constants with constants. Do this on the left. Do this on the right. At this point, a two-step equation (or less) should appear. Add or subtract first. Then multiply or divide. Five Steps Why are these steps important?

  16. Summary • What did you learn today?

  17. Summary • Simplify the equation, getting the variable on one side by itself. • Solve and check.

  18. ASSIGNMENT • #2-3a, page 91, 1-38

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