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Solving Two Step Equations
 

Solving Two Step Equations

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Chapter 7 Section 1 Solving Two Step Equations

Chapter 7 Section 1 Solving Two Step Equations

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    Solving Two Step Equations Solving Two Step Equations Presentation Transcript

    • Chapter 7 Section 1: Solving Two-Step Equations
      • Warm Up: Solve each equation.
      • 9 + k = 17
      • d – 10 = 1
      • y – 5 = -4
      • x + 16 = 4
      • b + 6 = -4
      • K = 8
      • D = 11
      • Y = 1
      • X = -12
      • B = -10
    • Spray On Warm Up! Distributive Property
      • (-5)(4x – 3)
      • (7)(2x + 5)
      • (3)(6m + 1)
      -20x + 15 14x + 35 18m = 3
    • Solving Two-Step equations
      • There is a model method, but who cares about that.
      • To SOLVE, find the value of a variable, a two-step equation, first undo addition or subtraction, then undo multiplication and division.
      In other words, to SOLVE, do PEMDAS backwards. (SADMEP)
    • Check Your Work
      • 3n – 6 = 15
      • + 6 + 6
      • 3n = 21
      • 3 3
      • n = 7
      • Equation
      • Addition Prop. of Equality
      • Simplify
      • Division Prop. of Equality
      • Solve
      Now that we know n = 7, to check, we stick it back in to check.
    • Check Your Work
      • 3( 7 ) – 6 = 15
      • 21 - 6 = 15
      • 15 = 15
      • Equation with variable.
      • Simplify
      • Solve, true statement.
      Now that we know n = 7, to check, we stick it back in to check.
    • Solve and Check Your Solution
      • 15x + 3 = 48
      • T/4 – 10 = -6
      • 9g + 11 = 2
      X = 3 T = 16 G = -1
    • The Dietary Soccer Player
      • A soccer player wants to eat 700 calories at a meal that includes a Reuben sandwich and pickles. The sandwich has 464 calories, and the pickles have 7 calories each.
      • Solve the equation 464 + 7f = 700 to find the number of pickles the soccer player can eat.
    • The Dietary Soccer Player
      • A soccer player wants to eat 700 calories at a meal that includes a Reuben sandwich and pickles. The sandwich has 464 calories, and the pickles have 7 calories each.
      • Suppose the soccer player drinks a 200 calorie sports drink with the meal. Create another equation that incorporates the drink to determine how many pickles the soccer player can now eat to stay within his diet.
    • Reminder About Equations and Negative Variables
      • What is –x?
      • -x is like saying (-1)x or –1 • x.
      • Therefore, -x is the opposite of x.
      • Solve: 5 – x = 17
      • + (-5) + (-5)
      • 0 - x = 12
      • (-1) (-1)
      • x = -12
      Equation Addition Prop. of Equality Simplify Division Prop. of Equality Solution Now Check Your Answer!
    • Try These
      • -a + 6 = 8
      • -9 – (y/7) = -12
      • 13 – 6f = 31
      A = -2 Y = 21 F = -3
    • Two Step Equations in Real Life
      • Lynne saves $45 each week. She now has $180. She plans to save for a trip to Puerto Rico. To find how many weeks w she will take to save $900,
      • solve $180 + $45w = $900.
      It will take Lynne 16 weeks from now, to save up 900 bucks.
    • Try This One
      • Jacob bought four begonias in 6 inch pots and a $19 fern at a fund-raiser. He spent a total of $83. Solve the equation 4p + $19 = $83 to find the price p of each begonia.
      Each pot of begonias cost $16.
    • Assignment #25:
      • Page 346: 1-26 all.
      • www.phschool.com
      • Code: awe-0701