1 / 11

Solving Equations Using Multiplication and Division

Solving Equations Using Multiplication and Division. Objectives :. Solve linear equations in one variable. Apply these skills to solve practical problems. Justify steps used in solving equations. Remember, To Solve an Equation means.

meena
Download Presentation

Solving Equations Using Multiplication and Division

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 Equations Using Multiplication and Division Objectives: • Solve linear equations in one variable. • Apply these skills to solve practical problems. • Justify steps used in solving equations.

  2. Remember, To Solve an Equation means... To isolate the variable having a coefficient of 1 on one side of the equation. Ex: x = 5 is solved for x. y = 2x - 1 is solved for y.

  3. Multiplication Property of Equality What it means: For any numbers a, b, and c, if a = b, then ac = bc. You can multiply BOTH sides of an equation by any number and the equation will still hold true.

  4. We all know that 3 = 3. Does 3(4) = 3? NO! But 3(4) = 3(4). The equation is still true if we multiply both sides by 4. An easy example: • Would you ever put deodorant under just one arm? • Would you ever put nail polish on just one hand? • Would you ever wear just one sock?

  5. x = 4 2 Multiply each side by 2. (2)x = 4(2) 2 x = 8 Always check your solution!! The original problem is x = 4 2 Using the solution x = 8, Is x/2 = 4? YES! 4 = 4 and our solution is correct. Let’s try another example!

  6. The two negatives will cancel each other out. The two fives will cancel each other out. (-5) (-5) x = -15 Does -(-15)/5 = 3? What do we do with negative fractions? Recall that Solve . Multiply both sides by -5.

  7. Division Property of Equality • For any numbers a, b, and c (c ≠ 0), if a = b, then a/c = b/c What it means: • You can divide BOTH sides of an equation by any number - except zero- and the equation will still hold true. • Why did we add c ≠ 0?

  8. 1) 4x = 24 Divide both sides by 4. 4x = 24 4 4 x = 6 Does 4(6) = 24? YES! 2) -6x = 18 Divide both sides by -6. -6y = 18 -6 -6 y = -3 Does -6(-3) = 18? YES! 2 Examples:

  9. The two step method: Ex: 2x = 4 3 1. Multiply by 3. (3)2x = 4(3) 3 2x = 12 2. Divide by 2. 2x = 12 2 2 x = 6 The one step method: Ex: 2x = 4 3 1. Multiply by the RECIPROCAL. (3)2x = 4(3) (2) 3 (2) x = 6 A fraction times a variable:

  10. Try these on your own...

  11. The answers...

More Related