1 / 13

One Step Equations

Understand how to solve one-step equations by replacing variables with numbers and using algebraic methods like inverse operations. Discover the importance of balance in equations and learn to solve equations with integers, fractions, and decimals.

tpuffer
Télécharger la présentation

One 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. One Step Equations Addition and Subtraction

  2. What is an equation? • An equation is a mathematical sentence that contains an equal sign ( = ) 5 + 2 = 7 5 + 2 7

  3. How do you SOLVE an equation? To solve an equation, replace the variable with a number that makes the equation true. This number is a solution.

  4. Using Substitution to determine the solution. Is 29 the solution to the equation x – 15 = 12 x – 15 = 12 29 – 15 = 12 Substitute x with 29 • ≠ or = 12 The equation is _______. 29 is _____ a solution to x – 15 = 12

  5. State whether the given number is a solution to the equation. (yes or no) • y – 6 = 24 y = 18 ________ 2) 20 = p + 4 p = 16 ________ 3) 150 = k – 50 k = 200 ________ 4) j + 30 = 70 j = 100 ________

  6. Solving Equations How do you solve an equation? How do we determine the value of the variable? **Algebra Tiles** **inverse Operation**

  7. Algebra Tiles x + 2 = 6 = MODEL THE EQUATION

  8. Algebra Tiles x + 2 = 6 = Isolate the variables

  9. Algebra Tiles x + 2 = 6 = x = 4 Find the Solution

  10. Inverse Operation What is the inverse operation of addition? x + 2 = 6 - 2 = - 2 x = 4 Remember an equation is a balance. If you do something to one side you MUST do it to the other.

  11. Solve each equation • 8 = 3 + hh = ______ • n – 10 = 5 n = ______ • 7 + k = 13 k = _______ • m – 2 = 10 m = ______

  12. ???????? • What about problems with larger numbers? • What about problems with fractions? • What about problems with decimals? *You can use the SAME methods to solve those!

  13. 5) 33 = j + 17 j = _______ 6) y – 265 = 124 y = _______ 7) g – 1.4 = 6.3 g = ________ 8) + z = z = ________

More Related