TIU CET Review Math Session 2 by Young Einstein

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Young Einstein's College Entrance Test Review
Math Session 2 - Algebra
Absolute Value
Exponents
Algebraic Expressions
FOIL method

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TIU CET Review Math Session 2 by Young Einstein

  1. 1. Math, Session 2 TIU College Entrance Test Review
  2. 2. <ul><li>WHAT IS THE DISTANCE BETWEEN </li></ul><ul><li>ANY NUMBER X AND Y? </li></ul><ul><li>What is the distance between 15 and 0? </li></ul><ul><li>15 </li></ul><ul><li>What is the distance between 21 and 46? </li></ul><ul><ul><ul><li>25 </li></ul></ul></ul><ul><li>What is the distance between -8 and 0? </li></ul><ul><li>8 </li></ul><ul><li>What is the distance between -30 and 50? </li></ul><ul><li>80 </li></ul><ul><li>What is the distance between -12 and -5? </li></ul><ul><li>7 </li></ul>
  3. 3. <ul><li>| 9 | = </li></ul><ul><li>| -4 | = </li></ul><ul><li>Absolute value is the same number, in positive form. </li></ul><ul><li>What is the distance between 15 and 0? </li></ul><ul><li>Is it | 15 – 0| or | 0 – 15| ? </li></ul>9 4
  4. 4. <ul><li>What is the distance between -8 and 0? </li></ul><ul><li>Answer: | -8 -0 | or | 0 - -8 | </li></ul>Distance = | X – Y | = | Y – X |
  5. 5. Rule for addition of signed numbers of the same sign : Add the numbers and prefix the common sign. Rule for addition of signed numbers of different signs : Subtract the numbers and prefix the Sign of the number with the larger value.
  6. 6. Rule for subtraction of signed numbers: Change the operation to addition, and change The sign of the second number. Then perform as in addition of signed numbers.
  7. 7. Rule for two numbers with the same sign : The product/quotient of the two will be positive .
  8. 8. <ul><li>The rule for two numbers of different signs : </li></ul><ul><li>The product/quotient of the two will be negative . </li></ul>
  9. 9. 1.) Solve by disregarding signs. 2.) Do cancellation when possible. 3.) Count the negative signs. If even  result is positive If odd  result is negative
  10. 10. In general, Therefore, 5! =?
  11. 11. <ul><li>Math, Session 2, Algebra </li></ul>
  12. 12. <ul><li>Evaluate the following expression for x = 4: </li></ul>
  13. 13. <ul><li>We can only add or subtract like terms . </li></ul>Is the answer 11 x –w also correct? YES!
  14. 14. <ul><li>We can only add/subtract like terms . </li></ul>The simplified form of the AE above is:
  15. 15. <ul><li>We use the laws of exponents. </li></ul><ul><li>Some examples: </li></ul>
  16. 17. <ul><li>Master multiplication of simple terms </li></ul><ul><li>3 techniques to multiply (x+a)(x+b) </li></ul><ul><ul><li>Distributive Property of Multiplication over Addition </li></ul></ul><ul><ul><li>F-O-I-L Method </li></ul></ul><ul><ul><li>Column Format </li></ul></ul>
  17. 18. <ul><li>Technique 1: DPMA </li></ul>
  18. 19. First Outer Inner Last
  19. 21. <ul><li>You can use DPMA and the Column Format to multiply not only binomials, but also trinomials and AE’s with many terms. </li></ul>

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