Download presentation

Presentation is loading. Please wait.

Published byLorin Green Modified over 4 years ago

1
Copyright © 2014, 2010, 2006 Pearson Education, Inc. Section 2.2, Slide 1 Equations, Inequalities, and Applications 2

2
Copyright © 2014, 2010, 2006 Pearson Education, Inc. Section 2.2, Slide 2 1.Use the multiplication property of equality. 2.Simplify, and then use the multiplication property of equality. Objectives 2.2 The Multiplication Property of Equality

3
Copyright © 2014, 2010, 2006 Pearson Education, Inc. Section 2.2, Slide 3 Multiplication Property of Equality If A, B, and C (C is not equal to 0) represent real numbers, then the equations A = B and AC = BC are equivalent equations. In words, we can multiply each side of an equation by the same nonzero number without changing the solution. Use the Multiplication Property of Equality

4
Copyright © 2014, 2010, 2006 Pearson Education, Inc. Section 2.2, Slide 4 Divide each side by 3. Example 1 Solve. 3x = 42 x = 14 Check: 3 · 14 = 42 Use the Multiplication Property of Equality

5
Copyright © 2014, 2010, 2006 Pearson Education, Inc. Section 2.2, Slide 5 Note In practice, 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 or a decimal. For example, to solve it is easier to multiply by the reciprocal of than to divide by On the other hand, to solve 5x = 20, it is easier to divide by 5 than to multiply by Use the Multiplication Property of Equality

6
Copyright © 2014, 2010, 2006 Pearson Education, Inc. Section 2.2, Slide 6 Example 3 Solve. –1.5y = 7.5 y = –5 Check: –1.5 · –5 = 7.5 Use the Multiplication Property of Equality Divide both sides by –1.5.

7
Copyright © 2014, 2010, 2006 Pearson Education, Inc. Section 2.2, Slide 7 Example 5 Solve. Use the Multiplication Property of Equality Multiply each side by the reciprocal.

8
Copyright © 2014, 2010, 2006 Pearson Education, Inc. Section 2.2, Slide 8 Example 7 Solve. 5a – 13a = 56 a = –7 Simplify and Use the Multiplication Property of Equality First combine like terms. Then solve. – 8a = 56

Similar presentations

© 2019 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google