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Math Session 2 - Algebra

Absolute Value

Exponents

Algebraic Expressions

FOIL method

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- 1. Math, Session 2 TIU College Entrance Test Review
- 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. <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. <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. 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. 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. Rule for two numbers with the same sign : The product/quotient of the two will be positive .
- 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. 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. In general, Therefore, 5! =?
- 11. <ul><li>Math, Session 2, Algebra </li></ul>
- 12. <ul><li>Evaluate the following expression for x = 4: </li></ul>
- 13. <ul><li>We can only add or subtract like terms . </li></ul>Is the answer 11 x –w also correct? YES!
- 14. <ul><li>We can only add/subtract like terms . </li></ul>The simplified form of the AE above is:
- 15. <ul><li>We use the laws of exponents. </li></ul><ul><li>Some examples: </li></ul>
- 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>
- 18. <ul><li>Technique 1: DPMA </li></ul>
- 19. First Outer Inner Last
- 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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