1 / 12

1-3, ALGEBRAIC EXPRESSIONS

1-3, ALGEBRAIC EXPRESSIONS. Objectives: Translate word phrases into algebraic expressions. Simplify algebraic expressions Evaluate algebraic expression using order of operations. 1-3, ALGEBRAIC EXPRESSIONS – Getting Ready!!. By tradition the term containing the variable is written first.

remedios-kelley
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 • Objectives: • Translate word phrases into algebraic expressions. • Simplify algebraic expressions • Evaluate algebraic expression using order of operations

  2. 1-3, ALGEBRAIC EXPRESSIONS – Getting Ready!! • By tradition the term containing the variable is written first. • What expression is the same as 20 + 6w and has the term containing the variable first? • What Property permits this?

  3. 1-3 Translating from verbal to algebraic • 10 is equal to 12 minus 2 • The sum of a number and -8 is -9 • A number divided by 6 is equal to that number squared. • The quotient of 4 and a number is 1

  4. Writing an Algebraic Expression to model a stituation Josh and Pam have bought an older home that needs some repair. After budgeting a total of $1685 for home improvements, they started by spending $425 on small improvements. They would like to replace 6 interior doors next. What is the maximum they can spend on each door? $210 Textbook p 22, 1-8 10 minutes

  5. 1-3, Page 19 Algebraic Expressions • Problem 3 • What is the value of the expression for the given variables of the expression? • 7( a + 4) + 3b – 8 for a = -4 and b = 5 • First substitute • When you substitute ALWAYS create a blank parenthesis to receive the substitute number. 7( ( ) + 4) + 3( ) – 8. • Then insert correct number. 7( (-4 ) + 4) + 3( 5 ) – 8

  6. 1-3, Page 19 Algebraic Expressions • Don’t forget the Order of Operations! ORDER OF OPERATIONS • Parentheses • Exponents • Multiply/Divide from left to right • Add/Subtract from left to right • 7( 0 ) + 15 – 8 • 0 + 15 – 8 • 15 – 8 • 7

  7. 1-3, Page 19 Algebraic Expressions • Problem 3B • x/2 + y2 for x = 1 and y = ½. • ½ + ( ½ )2 • = ½ + ¼ • = ¾ • Got 3a: What is the value of the expression 2( x2– y2 ) / 3 for x = 6 and y = -3. • 18 • Got it 3b: Will the value of the expression change if the parenthesis are removed? Explain.

  8. 1-3, Page 20 Algebraic Expressions Organize the data by completing the tables.

  9. 1-3, Page 20 Algebraic Expressions Organize the data by completing the tables.Got it #4: • Let x = the number of 2 point shots, y = the number of three – point shots, z = the number of one point free throws, • 2x + 3y + 1z • 42 points

  10. 1-3, Page 21 Algebraic Expressions Properties for simplifying Algebraic Expressions • Definition of Subtraction a – b = a + ( -b ) • Definition of Division a ÷ b = a/b = a ∙ 1/b, b ≠ 0 • Distributive Property for Subtraction a( b – c) = ab – ac • Multiplication by 0 0 ∙ a = 0 • Multiplication by -1 -1 ∙ a = - a • Opposite of a Sum -(a + b ) = -a + ( -b ) = -a – b • Opposite of a Difference -(a – b ) = -a + b = b - a • Opposite of a Product -(ab) = -a ∙ b = a ∙ ( -b ) • Opposite of an Opposite -(-a) = a

  11. 1-3, Page 21 Algebraic ExpressionsSimplifying Algebraic Expressions • It’s all about combining like terms… • A: 7x2 + 3y2 + 2y2 – 4x27x2+ 3y2 + 2y2– 4x23x2 + 5y2 • B:-(3k + m) + 2(k – 4m) -3k – m + 2k – 8m = -k – 9m • Got it #5: Your Turn! • A: -4j2 – 7k + 5j + j2 = -3j2 -7k +5j • B: -(8a + 3b) + 10(2a – 5b) = -8a – 3b + 20a – 50b =12a – 53b

  12. Let’s look at some questions Lesson 1-3, Page 22. • Lesson Check #1, #2, #6, #8 • Practice #10 – 18 Even • Homework #20 - #24 Even, #30 - #44 Even • Test Practice: #63, #64, #65

More Related