1 / 13

Mastering Order of Operations in Algebraic Expressions

Learn how to simplify and evaluate algebraic expressions using the PEMDAS rule, properties of addition and multiplication, and combining like terms. Practice example problems to improve your skills in this fundamental algebraic concept.

danielsm
Download Presentation

Mastering Order of Operations in Algebraic Expressions

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. Simplify and Evaluate algebraic expressions Unit 2 lesson 1

  2. Order of operations-Steps 1. Parentheses or other grouping symbols(evaluate what’s within) . 2. Exponents (evaluate) 3.Multiply or Divide in order from left to right. 4. Add or Subtract in order from left to right PEMDAS Please Excuse My Dear Aunt Sally

  3. PEMDAS Example 1 *Follow the order of operations ( + 2) =

  4. Commutative and Associative Commutative property of addition a + b = b + a Commutative property of multiplication ab = ba Associative property of addition (a + b) + c = a + (b + c) Associative property of multiplication (a x b) x c = a x (b x c)

  5. Commutative property of addition a + b = b + a Associative property of addition (a + b) + c = a + (b + c) Example 2 *Use number properties and like terms (11k + 5) + 2k

  6. Commutative property of addition a + b = b + a Associative property of addition (a + b) + c = a + (b + c) Example 3 * Use the properties of addition 4s + 5t + (-3s) + 4t

  7. Distributive property Distributive property over addition a(b + c) = ab + ac Distributive property over subtraction a(b - c) = ab - ac

  8. Example 4 *Use number properties and combine like terms 2(4m + n ) – 2n

  9. Example 5 *Combine like terms and use distributive property to find the GCF * Simplify and factor this expression 6x + 3x + 15y + 12y

  10. Example 6 * Substitute the value of each variable into the expression. Evaluate this expression when a = 8 and b = -7 12 + 3a – b

  11. Example 7 *Substitute the value of each variable into the expression. Evaluate this expression when m = -3 and n = -4 + n

  12. Example 8

  13. Work session Classwork activity. Homework Complete classwork

More Related