Module 1 Topic 2 Notes

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  • 1. Module 1 Topic 2 Variables and Expressions Variable: an unknown that is usually represented by a letter; used in writing expressions Expressions are different from equations because expressions do not have an “equals” sign
  • 2. Writing an Algebraic Expression
    • EX: Write the algebraic expression that represents the sum of a number and 3
    X + 3 Write this down: sum + difference – product x quotient /
  • 3. Writing an Algebraic Expression
    • EX: Juan has 40 different plants that he wants to plant into r rows. Write an algebraic expression that represents how many plants will be in each row.
    40/r
  • 4. Order of Operations
    • Never goes away! 
    • Parenthesis and Exponents
    • Multiplication and Division
    • Addition and Subtraction
  • 5. Order of Operations
    • EX: 2 3 – 4(-7 + 10) + 6
    • 8 – 4(3) + 6
    • 8 – 12 + 6
    • -4 + 6
    • 2
  • 6. Simplifying Algebraic Expressions
    • EX: Simplify 3x*2 2 + 5x – 8/2
    • 3x*4 + 5x – 8/2
    • 12x + 5x – 4
    • 17x - 4
    EX: Simplify (-3) 2 – 6y + 2y(5) -10 YOU TRY! 9 – 6y + 2y(5) – 10 9 – 6y + 10y – 10 4y – 1 (Did you get it?  )
  • 7. The Distributive Property
    • Allows us to simplify expressions when you can’t use order of operations.
    EX: Distribute the expression 5(r + 12) 5r + 5*12 5r + 60
  • 8. Let’s Put it All Together!
    • EX: Simplify 2 – 3(t + 5) + 4 3 - 60t/5
    • 2 – 3(t + 5) + 64 – 60t/5
    • 2 – 3t – 15 + 64 – 12t
    • -15t + 51
  • 9. Let’s Try a Word Problem
    • Sharon has $125 in a savings account and is spending $8 each week on lunch at school.
    • How much will she have left after w weeks? A: $125 - $8w
    • How much will she have after 5 weeks?
      • A: $125 - $8(5) = $125 - $40 = $85
    • What equation can be written to find out how many weeks it will take for her to have $45 left?
      • A: $45 = $125 - $8w