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3-3 day 1 Solve Multi Step Equations

3-3 day 1 Solve Multi Step Equations. Objective: Students will create and solve equations in one variable. Standards: A.REI.3 , A.CED.1 , A.REI.1. REMEMBER : When solving equations always ask yourself 2 questions first: Can I DISTRIBUTE ? Can I COMBINE LIKE TERMS ?.

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3-3 day 1 Solve Multi Step Equations

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  1. 3-3 day 1 Solve Multi Step Equations Objective: Students will create and solve equations in one variable. Standards: A.REI.3 , A.CED.1 , A.REI.1

  2. REMEMBER: When solving equations always ask yourself 2 questions first: Can I DISTRIBUTE ? Can I COMBINE LIKE TERMS ?

  3. Solve & Justify: 9x + x – 7 = 13 Example 1 9x + x -7 = 13 Combine Like Terms. Given 10x – 7 = 13 Combine like terms +7 +7 Get x by itself by doing the opposite operation. APOE 10x = 20 Simplify 10 10 MPOE x = 2 Simplify

  4. Example 2 To justify steps must use PROPERTIES Solve. Justify your steps: 4y – 7 (y – 2) = 26 Use 2-column proof to do this 4y – 7 (y – 2) = 26 Given 4y – 7y + 14 = 26 Distributive Property -3y + 14 = 26 Combine Like Terms -14 -14 APOE -3y = 12 Simplify -3 -3 MPOE y = -4 Simplify

  5. Section 3-3 day 1 HW: Pg. 150-151 SOLVE & PROVE: 3 – 13 Homework

  6. 3-3 day 2 Solve Multi Step Equations Objective: Students will create and solve equations in one variable. Standards: A.REI.3 , A.CED.1 , A.REI.1

  7. Solve & Justify:3/5(2x – 4) = 18 Multiply by 5/3, the RECIPROCAL of 3/5. 3/5(2x – 4) = 18 Given Example 1 5/3 ∙ 3/5(2x – 4) = 18 ∙ 5/3 MPOE 2x – 4 = 30 Simplify +4 +4 APOE 2x = 34 Simplify 2 2 MPOE x = 17 Simplify

  8. You have a pipe broken in your house. The plumber charges a fee of $20 for each hour he is there and also charges an emergency fee of $5 for each hour on top of a one-time $15 charge to look at the problem. You spent $115 to get your plumbing fixed, how many hours was the plumber working? Example 2 + 5x + 15 = 115 20x Remember: “ Per” means this is where the x goes 25x+15=115 STEP 1: Write the equation. -15 -15 STEP 2: Combine like terms. Get x by itself by doing the opposite operation. 25x =100 25 25 x = 4 hours

  9. Section 3-3 day 2 HW: Pg. 150-151 SOLVE & PROVE: 14 – 24 Follow Directions: 38, 39, 40 Homework

  10. 3-4 Solve Equations with Variables on Both Sides Objective: Students will create and solve equations in one variable. Standards: A.REI.3 , A.CED.1 , A.REI.1

  11. REMEMBER: When solving equations always ask yourself 2 questions first: Can I DISTRIBUTE ? Can I COMBINE LIKE TERMS ?

  12. GOAL: Get ALL variables on ONE SIDE, and all NUMBERS on the OTHER SIDE!! Example 1 Solve. Justify your steps: -3x + 6x = 5(x + 1) – 1 -3x + 6x = 5(x + 1) – 1 Given -3x + 6x = 5x + 5 – 1 Distributive Property Combine like terms 3x = 5x + 4 -5x -5x APOE -2x = 4 Simplify -2 -2 MPOE x = -2 Simplify

  13. Identify the number of solutions of the equation: 5x – 6 = 5(x – 1) Example 2 5x – 6 = 5x - 5 Distribute +6 +6 APOE. 5x = 5x + 1 -5x -5x APOE 0 = 1 0 = 1 is NOT TRUE, so the equation has NO SOLUTIONS.

  14. Identify the number of solutions of the equation: 4(3x + 2) = 2(6x + 4) Example 3 12x + 8 = 12x + 8 Distribute The equation is an identity and TRUE , so the solution is ALL REAL NUMBERS.

  15. Section 3-4 HW: Pg. 157-158 SOLVE & PROVE: 10 – 13, 22 - 25 FOLLOW DIRECTIONS: 29, 49, 50 Homework

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