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Expressions powerpoint

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Expressions powerpoint

  1. 1. Translating variable expressions
  2. 2. What is the area of a rectangle? <ul><li>Length times Width </li></ul><ul><li>If the length is 3 meters and the width is 2 meters, what is the area? </li></ul><ul><li>A = L x W A = 3 x 2 = 6 meters 2 </li></ul><ul><li>A, L and W are the variables . It is any letter that represents an unknown number. </li></ul>
  3. 3. An algebraic expression contains: <ul><li>1) one or more numbers or variables, and </li></ul><ul><li>2) one or more arithmetic operations. </li></ul><ul><li>Examples: </li></ul><ul><li>x - 3 </li></ul><ul><li>3 • 2n </li></ul>
  4. 4. In expressions, there are many different ways to write multiplication. <ul><ul><ul><ul><ul><li>1) ab </li></ul></ul></ul></ul></ul><ul><ul><ul><ul><ul><li>2) a • b </li></ul></ul></ul></ul></ul><ul><ul><ul><ul><ul><li>3) a(b) or (a)b </li></ul></ul></ul></ul></ul><ul><ul><ul><ul><ul><li>4) (a)(b) </li></ul></ul></ul></ul></ul><ul><ul><ul><ul><ul><li>5) a x b </li></ul></ul></ul></ul></ul><ul><li>We are not going to use the multiplication symbol any more. Why? </li></ul>
  5. 5. Division, on the other hand, is written as: <ul><li>1) </li></ul><ul><li>2) x ÷ 3 </li></ul>
  6. 6. Throughout this year, you will hear many words that mean addition, subtraction, multiplication, and division. Complete the table with as many as you know.
  7. 7. Here are some phrases you may have listed. The terms with * are ones that are often used.
  8. 8. Write an algebraic expression for 1) m increased by 5. <ul><li>m + 5 </li></ul><ul><li>2) 7 times the product of x and t. </li></ul><ul><li>7 xt or 7( x )( t ) or 7 • x • t </li></ul>
  9. 9. 3) 11 less than 4 times a number. 4 n - 11 4) two more than 6 times a number. 6 n + 2 5) the quotient of a number and 12.
  10. 10. Which of the following expressions represents 7 times a number decreased by 13? <ul><li>7x + 13 </li></ul><ul><li>7x - 13 </li></ul><ul><li>13 - 7x </li></ul><ul><li>13 + 7x </li></ul>Answer Now
  11. 11. Which one of the following expressions represents 28 less than three times a number? <ul><li>28 - 3x </li></ul><ul><li>3x - 28 </li></ul><ul><li>28 + 3x </li></ul><ul><li>3x + 28 </li></ul>Answer Now
  12. 12. Write a verbal expression for: 1) 8 + a . The ratio of m to r Do you have a different way of writing these? The sum of 8 and a 2)
  13. 13. Which of the following verbal expressions represents 2x + 9? <ul><li>9 increased by twice a number </li></ul><ul><li>a number increased by nine </li></ul><ul><li>twice a number decreased by 9 </li></ul><ul><li>9 less than twice a number </li></ul>Answer Now
  14. 14. Which of the following expressions represents the sum of 16 and five times a number? <ul><li>5x - 16 </li></ul><ul><li>16x + 5 </li></ul><ul><li>16 + 5x </li></ul><ul><li>16 - 5x </li></ul>Answer Now
  15. 15. <ul><li>base </li></ul><ul><li>and 3 is called the </li></ul><ul><li>exponent or power . </li></ul><ul><li>10 3 means 10 • 10 • 10 </li></ul><ul><li>10 3 = 1000 </li></ul>When looking at the expression 10 3 , 10 is called the
  16. 16. How is it said? 2 1 <ul><li>Two to the first power </li></ul><ul><li>2 2 </li></ul><ul><li>Two to the second power or two squared </li></ul><ul><li>2 3 </li></ul><ul><li>Two to the third power or two cubed </li></ul><ul><li>2n 7 </li></ul><ul><li>Two times n to the seventh power </li></ul>
  17. 17. Which of the following verbal expressions represents x 2 + 2x? <ul><li>the sum of a number squared and twice a number </li></ul><ul><li>the sum of a number and twice the number </li></ul><ul><li>twice a number less than the number squared </li></ul><ul><li>the sum of a number and twice the number squared </li></ul>Answer Now
  18. 18. Which of the following expressions represents four less than the cube of a number? <ul><li>4 – x 3 </li></ul><ul><li>4 – 3x </li></ul><ul><li>3x – 4 </li></ul><ul><li>x 3 – 4 </li></ul>Answer Now
  19. 19. Evaluate. 2 1 <ul><li>2 </li></ul><ul><li>2 2 </li></ul><ul><li>2 • 2 = 4 </li></ul><ul><li>2 3 </li></ul><ul><li>2 • 2 • 2 = 8 </li></ul><ul><li>2n 7 </li></ul><ul><li>We can’t evaluate because we don’t know what n equals to!! </li></ul>
  20. 20. Is 3 5 the same as 5 3 ? Evaluate each and find out! <ul><li>3 5 = 3 • 3 • 3 • 3 • 3 = 243 </li></ul><ul><li>5 3 = 5 • 5 • 5 = 125 </li></ul><ul><li>243 ≠ 125 </li></ul><ul><li>They are not the same! </li></ul>

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