Algebra Expressions and Equations

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lesson 1-1 writing algebraic expressions and equations

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Algebra Expressions and Equations

  1. 1. Algebra I Lesson 1-1 Expressions and Equations
  2. 2. Expressions are: <ul><li>General little statements that </li></ul><ul><li>DO NOT have an equals sign! </li></ul><ul><li>2x – 4 </li></ul><ul><li>2m ³ + 5m </li></ul><ul><li>Seven less than half a number squared </li></ul><ul><li>Twice the difference of a number and five </li></ul>
  3. 3. Equations are: <ul><li>Any statement that DOES have </li></ul><ul><li>an equals sign (or equivalent): </li></ul><ul><li>4n + 7 = 11 </li></ul><ul><li>½ b – 2 = 3 </li></ul><ul><li>Twice a number increased by four is ten </li></ul><ul><li>The difference of a number and two is five </li></ul>
  4. 4. What you will be doing today: <ul><li>Writing verbal expressions and equations from algebraic forms </li></ul><ul><li>Writing algebraic expressions and equations from verbal forms </li></ul>
  5. 5. What does THAT mean? <ul><li>It means you will take an expression like 3x – 5, and write it as: “the difference of three times a number and five” or maybe “ five less than three times a number” </li></ul>
  6. 6. Or maybe…… <ul><li>If you are given the verbal sentence, you will write it as an algebra equation or expression: </li></ul><ul><li>“ half of a number increased by three is twelve” would be written as : ½ x + 3 = 12 </li></ul>
  7. 7. What will you need to know to be able to do this? <ul><li>Words for addition, such as “more than” or “increased by” </li></ul><ul><li>Words for subtraction, such as “less than” or “decreased by” </li></ul><ul><li>Words for multiplying or dividing, such as “product of” or “quotient” </li></ul><ul><li>Words for powers of numbers, like “squared” or “cubed” </li></ul><ul><li>Words for where the equals sign goes, like ‘is” or “is equal to” or “is the same as” </li></ul>
  8. 8. Warning!! <ul><li>Do not use the words “plus” or “minus” </li></ul><ul><li>or “equals” </li></ul><ul><li>if at all possible !! </li></ul>
  9. 9. Your turn: <ul><li>How would you write 4n + 3 as a verbal expression? </li></ul><ul><li>(you can discuss out loud with someone next to you) </li></ul>
  10. 10. Now try this one: <ul><li>Can you write the following in algebraic form? </li></ul><ul><li>“ 3 less than a number cubed is the same as five” </li></ul>
  11. 11. Which ones are correct for 2m – 7: <ul><li>Twice a number less than seven </li></ul><ul><li>Seven decreased by twice a number </li></ul><ul><li>Seven less than twice a number </li></ul><ul><li>Twice a number decreased by seven </li></ul>
  12. 12. 3m ² + 2 = 14 would be written: <ul><li>Two more than 3 times a number squared is fourteen </li></ul><ul><li>Three m’s squared plus two equals fourteen </li></ul><ul><li>Three times a number squared increased by two is the same as fourteen </li></ul>
  13. 13. Your Homework: <ul><li>Worksheet 1-1 </li></ul><ul><li>Visit My Website </li></ul><ul><li>Bring a picture for the “get 2 know U” board! </li></ul>
  14. 15. Created by: <ul><li>Kelly Williams </li></ul>

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