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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
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
slide5

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
slide6

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
slide8

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