Download presentation

Presentation is loading. Please wait.

Published byBrayden Crane Modified over 7 years ago

1
Ch 2 Sec 2B: Slide #1 Columbus State Community College Chapter 2 Section 2B Simplifying Expressions

2
Ch 2 Sec 2B: Slide #2 Simplifying Expressions 1.Simplify expressions. 2.Identify terms and numerical coefficients. 3.Identify like terms. 4.Combine like terms.

3
Ch 2 Sec 2B: Slide #3 Simplifying Expressions EXAMPLE 1 Simplifying Expressions (a)6 ( 3x – 7y ) Simplify each expression. Use the distributive property. 6 ( 3x – 7y )= 6 ( 3x )– 6 ( 7y ) = 18x – 42y

4
Ch 2 Sec 2B: Slide #4 Simplifying Expressions EXAMPLE 1 Simplifying Expressions (b)24 – ( 5x – 3 ) Simplify each expression. –x = –1 x24 – 1 ( 5x – 3 ) = 24 – 5x + 3 1 = 27 – 5x or –5x + 27 Distributive property Add.

5
Ch 2 Sec 2B: Slide #5 CAUTION It is important to be able to distinguish between terms and factors. For example, in the expression 5x 3 + 4x 3, there are two terms, 5x 3 and 4x 3. Terms are separated by a + or – sign. On the other hand, in the one-term expression ( 5x 3 )( 4x 3 ), 5x 3 and 4x 3 are factors. Factors are multiplied.

6
Ch 2 Sec 2B: Slide #6 CAUTION Remember that only like terms may be combined.

7
Ch 2 Sec 2B: Slide #7 Simplifying Expressions Involving Like Terms EXAMPLE 2 Simplifying Expressions Involving Like Terms (a)7n + 4 ( 9 + 2n ) Simplify each expression. Distributive property= 7n + 4 ( 9 ) + 4 ( 2n ) (a)7n + 4 ( 9 + 2n ) Multiply.= 7n + 36 + 8n Combine like terms.= 15n + 36

8
Ch 2 Sec 2B: Slide #8 (b)12c + 7 – 2 ( c – 6 ) Simplifying Expressions Involving Like Terms EXAMPLE 2 Simplifying Expressions Involving Like Terms Simplify each expression. Distributive property= 12c + 7 – 2 ( c ) – 2 ( – 6 ) Multiply.= 12c + 7 – 2c + 12 Combine like terms.= 10c + 19

9
Ch 2 Sec 2B: Slide #9 (c)– ( 5 – m ) – 7m Simplifying Expressions Involving Like Terms EXAMPLE 2 Simplifying Expressions Involving Like Terms Simplify each expression. – ( 5 – m ) = – 1 ( 5 – m )= – 1 ( 5 – m ) – 7m Distribute.= – 1 ( 5 ) – 1 ( – m ) – 7m Multiply.= –5 + m – 7m Combine like terms.= –5 – 6m

10
Ch 2 Sec 2B: Slide #10 (d)6 ( 3n 2 – 4 ) – 4 ( 5n 2 – 7 ) Simplifying Expressions Involving Like Terms EXAMPLE 2 Simplifying Expressions Involving Like Terms Simplify each expression. Distribute.= 6 ( 3n 2 ) – 6 ( 4 ) – 4 ( 5n 2 ) – 4 ( –7 ) Multiply.= 18n 2 – 24 – 20n 2 + 28 Combine like terms.= –2n 2 + 4

11
Ch 2 Sec 2B: Slide #11 Simplifying Expressions Chapter 2 Section 2B – Completed Written by John T. Wallace

Similar presentations

© 2022 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