1 / 12

1.3 – Algebraic Expressions

1.3 – Algebraic Expressions. Students will be able to: evaluate algebraic expressions Simplify algebraic expressions Lesson Vocabulary Evaluate term coefficient Constant terms Like terms. 1.3 – Algebraic Expressions. Problem 1:

rturley
Download Presentation

1.3 – 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. 1.3 – Algebraic Expressions Students will be able to: evaluate algebraic expressions Simplify algebraic expressions Lesson Vocabulary Evaluate term coefficient Constant terms Like terms

  2. 1.3 – Algebraic Expressions Problem 1: Which algebraic expression models the word phrase seven fewer than a number t? a. t + 7 b. -7t c. t – 7 d. 7 – t

  3. 1.3 – Algebraic Expressions Problem 1b: Which algebraic expression models the word phrase two times the sum of a and b? a. a + b b. a + 2b c. 2a + b d. 2(a + b)

  4. 1.3 – Algebraic Expressions To model a situation with an algebraic expression, do the following: Identify the actions that suggest operations Define one or more variables to represent the unknown(s). Represent the actions using the variables and the operations.

  5. 1.3 – Algebraic Expressions Problem 2: You start with $20 and save $6 each week. What algebraic expression models the total amount you save?

  6. 1.3 – Algebraic Expressions Problem 2b: You had $150, but you are spending $2 each day. What algebraic expression models this situation?

  7. 1.3 – Algebraic Expressions To evaluate an algebraic expression, substitute a number for each variable in the expression. Then simplify using order of operations. Problem 3: What is the value of the expression for the given values of the variables? 7(a + 4) + 3b – 8 for a = -4 and b = 5 for x = 1 and y = 1/2

  8. 1.3 – Algebraic Expressions Problem 3b: What is the value of the expression for the given values of the variables? for x = 6 and y = -3

  9. 1.3 – Algebraic Expressions An expression that is a number, a variable, or the product of a number and one or more variables is a term. A coefficient is the numerical factor of a term. A constant term is a term with no variables. You can add terms to form longer expressions. The expression below has three terms. -4ax +7w – 6 The constant term is -6 The numerical coefficient of 7w is 7 The numerical coefficient of -4ax is -4

  10. 1.3 – Algebraic Expressions Like terms have the same variables raised to the same powers.

  11. 1.3 – Algebraic Expressions Problem 5: Combine like terms. What is a simpler form of each expression? a. b. c.

  12. 1.3 – Algebraic Expressions Exit Slip: Explain the difference between a constant and a coefficient How are algebraic expressions and numerical expressions alike? How are the different? Include examples to justify your reasoning.

More Related