1 / 13

Multi-Step Equations

Multi-Step Equations. Sol A.4 . To solve multi-step equations you form a series of simpler equivalent equations. To do this use the properties of equality, inverse operations and properties of real numbers. You use the properties until you isolate the variable. Combining Like Terms.

nitza
Download Presentation

Multi-Step Equations

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. Multi-Step Equations Sol A.4

  2. To solve multi-step equations you form a series of simpler equivalent equations. • To do this use the properties of equality, inverse operations and properties of real numbers. • You use the properties until you isolate the variable.

  3. Combining Like Terms 5 = 5m – 23 + 2m 5 = 5m + 2m – 23 Comm. Prop. Of Addition 5 = 7m – 23 Combine Like Terms 5 + 23 = 7m – 23 + 23 Add 23 to both sides 28 = 7m Simplify 28/7 = (7m)/7 Divide each side by 7 4 = m Check your work.

  4. Your Turn 11m – 8 – 6m = 22

  5. Your Turn • -2y + 5 + 5y = 14

  6. Solving a Multi-Step Equation Word Problem • Turn to page 95 in your textbook and lets look at “Problem 2” together.

  7. Solving an Equation Using the Distributive Property -8(2x – 1) = 36 -16x + 8 = 36 Distributive Property -16x + 8 – 8 = 36 – 8 Subtract 8 from both sides -16x = 28 Simplify (-16x)/-16 = 28/-16 Divide each side by -16 X = -7/4 Simplify

  8. Your Turn 18 = 3(2x – 6)

  9. Solving an Equation That contains Fractions There are 2 methods that you can you to solve an equation that contains fractions. I will show you both methods and you need to try them both to decide which works best for you!

  10. Method 1 Write the terms using a common denomitaor • 3/4x – 1/3x = 10

  11. Method 2Clear the fractions from the equation • 3x/4 – x/3 = 10

  12. Your turn • (2b)/5 + (3b)/4 = 3

  13. Your Turn • 1/9 = 5/6 – m/3

More Related