1 / 14

Chapter 2

Chapter 2. Section 2. The Multiplication Property of Equality. Use the multiplication property of equality. Simplify, and then use the multiplication property of equality. 2.2. 2. Objective 1. Use the multiplication property of equality. Slide 2.2-3. Multiplication Property of Equality

louie
Télécharger la présentation

Chapter 2

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. Chapter 2 Section 2

  2. The Multiplication Property of Equality Use the multiplication property of equality. Simplify, and then use the multiplication property of equality. 2.2 2

  3. Objective 1 Use the multiplication property of equality. Slide 2.2-3

  4. Multiplication Property of Equality If A, B, and C (C ≠ 0) represent real numbers, then the equations and are equivalent equations. That is, we can multiply each side of an equation by the same nonzero number without changing the solution. Use the multiplication property of equality. The addition property of equality is not enough to solve some equations, such as Since the coefficient of x is 3 rather than 1, the multiplication property of equality is needed to change the equation to the form x = a number, after the 2 is subtracted from both sides of the equation and we are left with Slide 2.2-4

  5. This property can be used to solve . The on the left must be changed to 1x, or x. To isolate x, we multiply each side of the equation by , the reciprocal of 3, which will result in a coefficient of 1 when multiplied. Use the multiplication property of equality. (cont’d) Just as the addition property of equality permits subtractingthe same number from each side of an equation, the multiplication property of equality permits dividing each side of an equation by the same number. DO NOT, however, divide each side by a variable, since the variable might be equal to 0. It is usually easier to multiply on each side if the coefficient of the variable is a fraction, and divide on each side if the coefficient is an integer. Slide 2.2-5

  6. Solve. The solution set is EXAMPLE 1 Applying the Multiplication Property of Equality Solution: Check: Slide 2.2-6

  7. Solve. The solution set is EXAMPLE 2 Applying the Multiplication Property of Equality Solution: Check: Slide 2.2-7

  8. The solution set is EXAMPLE 3 Solving an Equation with Decimals Solve. Solution: Check: Slide 2.2-8

  9. The solution set is EXAMPLE 4 Applying the Multiplication Property of Equality Solve. Solution: Check: Slide 2.2-9

  10. Solve. The solution set is EXAMPLE 5 Applying the Multiplication Property of Equality Solution: Check: Slide 2.2-10

  11. In Section 2.1, we obtained the equation We reasoned that since this equation says that the additive inverse (or opposite) of x is −17, thenx must equal 17. We can also use the multiplication property of equality to obtain the same result as detailed in the next example. Using the multiplication property of equality when the coefficient of the variable is −1. Slide 2.2-11

  12. Solve. The solution set is EXAMPLE 6 Applying the Multiplication Property of Equality Solution: Check: Slide 2.2-12

  13. Objective 2 Simplify, and then use the multiplication property of equality. Slide 2.2-13

  14. Solve. The solution set is EXAMPLE 7 Combing Like Terms When Solving Solution: Check: Slide 2.2-14

More Related