1 / 13

Solving Linear Equations

Solving Linear Equations. Review. Objectives. Explain that each step in solving a linear equation follows from the equality in the previous step Create and solve linear equations with one variable using the properties of equality.

gene
Télécharger la présentation

Solving Linear 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. Solving Linear Equations

  2. Review

  3. Objectives • Explain that each step in solving a linear equation follows from the equality in the previous step • Create and solve linear equations with one variable using the properties of equality

  4. The Compendious Book on Calculation by Completion and Balancing • Written by Muhammad ibn Musa Al-Khwarizmi around 820 AD • Unique in that it did not focus on specific problems • Generalized types of problems • Could be applied to an infinite number of situations • Focus on balancing equations

  5. Solving Linear Equations: Example 1 What is the value of x in the equation 𝟮(𝙭+𝟰)𝟯−𝟴=𝟯𝟮 What properties do we use to solve this problem?

  6. Solving Linear Equations: Example 2 The sum of three consecutive integers is 132. What are the three integers?

  7. Using linear equations to solve mixture problems A lab technician needs 25 liters of a solution that is 15% acid for a certain experiment, but she has only a solution that is 10% acid and a solution that is 30% acid. How many liters of the 10% and the 30% solutions should she mix to get what she needs?

  8. Another Mixture Problem A researcher needs 30 mL of 20% acid solution for a certain experiment, but he has only 15% solution and 40% solution. How many milliliters of the 15% and the 40% solutions should he mix to get what he needs?

  9. Distance and Rate Problem

  10. Distance and Rate Problems STEP 1 Write an equation to represent the situation. Time walking+Time at the shop+Time riding Bike =Total time tw + ts + tB = t tw=1.5 miles/3 mph ts=30 min=0.5 h tB=1.5 miles/ 10 mph STEP 2 Solve for t.

  11. Linear Equation to Solve Rate and Time Problems Keenan will run 2.5 mi from his house to Jared’s house. He plans to hang out for 45 min before walking home. How long will he be gone from home?

  12. Essential Understanding Linear equations can be used to solve mathematical and real-world problems. You can solve linear equations by using the properties of equality.

More Related