1 / 10

AF1.1 Write and solve one-step linear equations in one variable.

California Standards. AF1.1 Write and solve one-step linear equations in one variable. Also covered: NS2.1, NS2.2, NS2.4.

emily
Télécharger la présentation

AF1.1 Write and solve one-step linear equations in one variable.

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. California Standards AF1.1 Write and solve one-step linear equations in one variable. Also covered:NS2.1, NS2.2, NS2.4

  2. The goal when solving equations that contain fractions is the same as when working with other kinds of numbers—toget the variable by itself on one side of the equation.

  3. 3 7 5 7 x – = 3 7 Since is subtracted from x, 3 7 5 7 3 7 3 7 + x – = + 3 7 add to both sides. 1 7 8 7 = x = 1 Example 1A: Solving Equations by Adding or Subtracting Solve. Write the answer in simplest form. 3 7 5 7 x – = Simplify.

  4. 5 12 3 8 + = t 3 8 Since is added to t, 5 12 3 8 3 8 3 8 – + – = t 3 8 subtract from both sides. 10 24 9 24 t = – 1 24 t = Example 1B: Solving Equations by Adding or Subtracting Solve. Write the answer in simplest form. 3 8 5 12 + t = Find a common denominator. Subtract.

  5. 3 8 1 4 x = 3 8 1 4 = = x Example 2A: Solving Equations by Multiplying Solve. Write the answer in simplest form. 3 8 Multiply by the reciprocal of . 2 1 4 8 3 8 3 3 8 x =  Then simplify.  1 2 3 x = Caution! 3 8 3 8 To undo multiplying by , you can divide by 8 3 or multiply by its reciprocal, .

  6. Additional Example 2B: Solving Equations by Multiplying Solve. Write the answer in simplest form. 8 9 4y = 8 9 4y = Multiply by the reciprocal of 4. 2 1 4 8 9 1 4 Then simplify. =  4y  1 2 9 y =

  7. 1 5 3 4 w = 4 Example 3: Physical Science Application The amount of copper in brass is of the total weight. If a sample contains 4ounces of copper, what is the total weight of the sample? 3 4 1 5 Let w represent the total weight of the sample. Write an equation. 4 3 4 3 1 5 3 4 w   = 4 3 4 Multiply by the reciprocal of · 1 5 7 Write 4 as an improper 21 5 4 3 w =  fraction. 1 28 5 3 5 w = or 5 Then simplify. 3 5 The sample weighs 5 ounces.

  8. 3 8 7 8 x – = 3 8 3 8 Since is subtracted from x, add to both sides. 3 8 7 8 3 8 3 8 + x – = + 1 4 10 8 = 1 x = Check It Out! Example 1 Solve. Write the answer in simplest form. 3 8 7 8 = x – Simplify.

  9. Check It Out! Example 2 Solve. Write the answer in simplest form. 6 7 3y = 6 7 3y = Multiply by the reciprocal of 3. 2 1 3 6 7 1 3 y = 3 Then simplify.   1 2 7 y =

  10. 1 3 1 4 w = 5 Check It Out! Example 3 The amount of copper in zinc is of the total weight. If a sample contains 5ounces of copper, what is the total weight of the sample? 1 4 1 3 Let w represent the total weight of the sample. Write an equation. 4 1 1 4 4 1 1 3  w  = 5 1 4 Multiply by the reciprocal of · 1 3 Write 5 as an improper 16 3 4 1  w = fraction. 64 3 1 3 w = or 21 Multiply. 1 3 The sample weighs 21 ounces.

More Related