Simplifying Linear Expressions and Rules for Addition and Subtraction
Learn how to simplify linear expressions by adding or subtracting like terms. Understand the rules for addition and subtraction of algebraic expressions. Practice examples to enhance your mathematical skills in simplifying expressions effectively.
Download Presentation
Please find below an Image/Link to download the presentation.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author.If you encounter any issues during the download, it is possible that the publisher has removed the file from their server.
You are allowed to download the files provided on this website for personal or commercial use, subject to the condition that they are used lawfully. All files are the property of their respective owners.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author.
E N D
Presentation Transcript
RULES FOR ADDITION Put the two sets of expressions on top of each other to add like terms Simplify
Ex. 1) Simplify. (8x + 3) + (-6x + -2) 8x + 3 Rewrite vertically with like terms in columns. + -6x + -2 Solve the columns. 2x + 1
(-5x 9) + (6x + 1) Ex. 2) Simplify. -5x 9 Rewrite vertically with like terms in columns. + 6x + 1 = 1x 8 Solve the columns.
RULES FOR SUBTRACTION The subtraction sign in front of an expression in parentheses means that you will have to distribute the negative to everything inside. We can rewrite the problem: Change the minus sign to a plus sign Change all of the #s inside the parentheses to their opposites
Ex. 1) Simplify. (8x + 3) (6x + 2) Rewrite as adding the opposite. (8x + 3) + (-6x + -2) 8x + 3 Rewrite vertically with like terms in columns. + -6x + -2 Solve the columns. 2x + 1
Ex. 2) Simplify. (-6x + 1) (2x 5) Rewrite as adding the opposite. (-6x + 1) + (-2x + 5) -6x + 1 Rewrite vertically with like terms in columns. + -2x + 5 Solve the columns. -8x + 6
Ex. 3) Subtract (-2x + 5) from (-4x 7). Be careful with order as you set up the subtraction problem! (-4x 7) (-2x + 5) Rewrite as adding the opposite. (-4x 7) + (+2x + -5) -4x + -7 Rewrite vertically with like terms in columns. + 2x + -5 Solve the columns. = -2x 12
8 7 1 3 1 + + y y Ex. 4) Simplify. 8 2 6 + 8 6 7 1 3 1 + + + y y Rewrite as adding the opposite. 8 2 7 1 + y 8 2 Rewrite vertically with like terms in columns. 3 1 + + y 8 6 1 1 Solve the columns. = + 1 y 4 3
