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Do Now. Solve the following… 6 = x + 2 4 = q + 13 23 = b - 19. 5b = 145 -7y = 28 2/3q = 18 1/5x = 2/7. 2-2 Solving Two-Step Equations. Solving using two steps. Step 1: Always add or subtract Step 2: Always multiply or divide To solve, use these steps

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Do now

Do Now

  • Solve the following…

  • 6 = x + 2

  • 4 = q + 13

  • 23 = b - 19

  • 5b = 145

  • -7y = 28

  • 2/3q = 18

  • 1/5x = 2/7


2 2 solving two step equations

2-2 Solving Two-Step Equations


Solving using two steps

Solving using two steps

  • Step 1: Always add or subtract

  • Step 2: Always multiply or divide

  • To solve, use these steps

    • Identify the operations and undo them using inverse operations


Examples

Examples

  • 2x + 3 =15

    • Step 1: Need to subtract 3 since it is inverse of addition

      • 2x + 3 – 3 = 15 -3

      • 2x = 12

  • Step 2: Need to divide 12 by 2 since it is inverse of multiplication

    • 2x/2 = 12/2

  • X = 6

  • Check Answers by plugging in 2(6) + 3 = 15


  • Do now

    • 5 = t/2 – 3

    • Step 1: Add 3 to both sides since it is inverse of subtraction

      • 5 + 3 = t/s – 3 + 3

      • 8 = t/2

  • Step 2: Multiply by 2 on both sides since it is inverse of division

    • 8 x 2 = t/2 x 2


  • Do now

    T=16

    Check Answers by pulling in


    Try on your own

    Try on your own…

    • 2 + a/4 = -1

    • 3n – 4 = 11

    • 5x + 12 = -13

    • 6 = m/7 - 3


    Do now

    You are making a bulletin board to advertise community service opportunities in you town. You plan to use half a sheet of paper for each ad. You need 5 sheets of construction paper for a title banner. You have 18 sheets of construction paper. How many ads can you make?

    Write an equation for this word problem.

    1/2a + 5 = 18

    Solve

    A = 26


    Solve with two terms in the numerator

    Solve with two terms in the numerator

    Remember Steps

    Check Answers

    • X-7 = -12

      3

    • 6 = x – 2

      4

    • d – 3 = 6

      5

    • a + 10 = 4

      2


    Write and solve this word problem

    Write and solve this word problem…

    Members of a car-sharing program pay a fee of $50 per month plus $7.65 for every hour they use a car. A member’s bill was $149.45 last month. How many hours did the customer use a car last month?

    Equation: $7.65h + 50 = $149.45

    Solution: 13 hours


    Study chapter 1 vocab test monday

    Study Chapter 1 Vocab: Test Monday!!!!


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