1 / 11

Mastering Two-Step Equations: A Step-by-Step Guide to Solving Word Problems

Learn how to solve two-step equations effectively with our comprehensive guide! We'll walk you through the essential steps: identifying operations, applying inverse operations, and checking your answers. With engaging examples such as solving for advertisements on a bulletin board and calculating car usage fees, you'll gain confidence in tackling algebraic challenges. Whether you're preparing for a test or brushing up on your skills, this guide is perfect for students eager to master the art of two-step equations.

ocean-peterson
Télécharger la présentation

Mastering Two-Step Equations: A Step-by-Step Guide to Solving Word Problems

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 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. 2-2 Solving Two-Step Equations

  3. 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

  4. 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

  5. 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

  6. T=16 Check Answers by pulling in

  7. Try on your own… • 2 + a/4 = -1 • 3n – 4 = 11 • 5x + 12 = -13 • 6 = m/7 - 3

  8. 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

  9. 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

  10. 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

  11. Study Chapter 1 Vocab: Test Monday!!!!

More Related