1 / 8

Multi-Step Equations

Multi-Step Equations. How to Identify Multistep Equations |Combining Terms| How to Solve Multistep Equations | Consecutive Integers | Multistep Inequalities. Some equations can be solved in one or two steps Ex) 4 x + 2 = 10 is a two-step equation Subtract 2

johnmhunter
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 How to Identify Multistep Equations |Combining Terms| How to Solve Multistep Equations | Consecutive Integers | Multistep Inequalities

  2. Some equations can be solved in one or two steps • Ex) 4x + 2 = 10 is a two-step equation • Subtract 2 • Divide both sides by 4 • Ex) 2x – 5 = 15 is a two-step equation • How to Identify Multistep Equations

  3. Multistep equation – an equation whose solution requires more than two steps • Ex) 5x – 4 = 3x + 2 and 4(x – 2) = 12 • Multistep equations can take different forms • Variables present in two different terms • Ex) 6x – 2x = 8 + 4, 5x – 4 = 3x + 2 • How to Identify Multistep Equations

  4. First step to solving a multistep equation is to simplify each side • Use the distributive property to eliminate parentheses • Ex) 5(x – 2) + x = 2(x + 3) + 4 simplifies to 5x – 10 + x = 2x + 6 + 4 • Combine like terms • Ex) 5x – 10 + x = 2x + 6 + 4 • Combine 5x and xto 6x on the left side • Combine 6 and 4 to 10 on the right side • Simplifies to 6x – 10 = 2x + 10 • Terms containing variables cannot be combined with constant terms • Combining Terms

  5. Consider 5(x – 3) + 4 = 3(x + 1) – 2 • Distributive Property can be used on both sides due to the parentheses multiplied by constants • Produces 5x – 15 + 4 = 3x + 3 – 2 • Terms can be combined on both sides • Combine –15 and 4 on the left and 3 and –2 on the right • Produces 5x – 11 = 3x + 1 • Combining Terms

  6. Consider the equation 4(x + 2) – 10 = 2(x + 4) • Simplify with the distributive property • 4x + 8 – 10 = 2x + 8 • Combine like terms • 4x – 2 = 2x + 8 • Eliminate the unknown from one side • 2x – 2 = 8 • Eliminate the constant term on the other side • 2x = 10 • Divide each side by the coefficient of the variable • x = 5 • How to Solve Multistep Equations

  7. Same general set of steps is useful in solving many multistep equations • How to Solve Multistep Equations

  8. How to Solve Multistep Equations Example Ex) Mark and Susan are given the same amount of money. Mark spends $5, and Susan spends $20. If Mark now has twice as much money as Susan, how many dollars did they each have originally? • Analyze • Find the original amounts • Formulate • Represent the problem as an equation • Determine • x – 5 = 2(x – 20) • x – 5 = 2x – 40 • –x – 5 = –40 • –x = –35 • x = 35 • Justify • They each began with $35 • Evaluate • 35 – 5 is double 35 – 20 • End Part 1

More Related