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Solving Two-Step Equations

Solving Two-Step Equations. 7 th Grade 2012-2013. Standard – 7.EE.3. I can use expressions and equations to solve multi-step, real-life problems using positive and negative rational numbers. What is a Two-Step Equation?. Put in your own words

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Solving Two-Step Equations

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  1. Solving Two-Step Equations 7th Grade 2012-2013

  2. Standard – 7.EE.3 • I can use expressions and equations to solve multi-step, real-life problems using positive and negative rational numbers.

  3. What is a Two-Step Equation? • Put in your own words • Two-Step Equation: An equation that can be solved using two operations.

  4. W. A. C. • You can “WAC” these equation! YAY! • Don’t Forget…

  5. Objective – Find the value of the variable by solving equations involving two steps. 3x + 4 = 16 Hard way Easy way 3x + 4 = 16 3x + 4 = 16 - Undo Multiplication or Division first - Undo Addition or Subtraction first

  6. Hard way Easy way - Undo Mult./ Div. first - Undo Add./ Subt. first 3x + 4 = 16 3x + 4 = 16 -4 -4 3 3 3x = 12 3x 4 16 = + 3 3 3 3 3 4 16 x = 4 x = + 3 3 4 4 - - 3 3 12 x = 3 x 4 =

  7. Two-Step Equations • To undo Two Operations USE “PEMDAS” IN REVERSE!!! (Undo It!) Example: 3x + 1 = 7 Answer: x=2 You Try: 5 = 4a – 7 5 + = -3 P S E A M D D M A E S P

  8. Solve the following equations (WAC). Check: 11 + -12/3 = 7 Check: 10 + 3(10) = 40 Check: 4 + 2(4) = 12 Check: -6 + 28/7 = -2

  9. Translate the sentence below and solve. 11) Five less than the quotient of x and 2 is 37.

  10. Quick Draw for Points! • Who is the best at showing their work? • The text isTWO STEP EQUATIONS • You will have 30-60 seconds for each problem. • Are you ready to prove yourself?

  11. Solve the following equations (Remember, WAC). Check: 15 + -27/3 = 6 Check: 2(12) – 5 = 19 Check: 8(3) + 1 = 25 Check: 35/5 – 4 = 3

  12. Translate the sentence below and solve. 5) Eight more than 3 times a number y is the same as 29. Check: 3(7) + 8 = 29

  13. Distributive Property (solve for x): • 6. 2(x + 5) = 20 • 7. -6 (4x + 4) = 28 • 8. -(10 + 3x) = 44 • 9. ¾ (12x – 4) = 12

  14. Practice: • “Practice Two-Step Equations” Worksheet • “Glencoe 3-5” • Solve equations from one-step section • “Writing Equations from Word Problems” • “Word Problem Prompts”

  15. EQUATIONS BINGO! • Combination of one-step and two-step equations • Winner gets a prize! • Must show your work!!!!!!

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