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# Davonte M Equations

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How to cancelate equations

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### Davonte M Equations

1. 1. The Cancellation Method By: Da Vont é Martin
2. 2. FOIL First Outer Inner Last <ul><li>Foil is a method used to cancel out parenthesis in an equation </li></ul><ul><li>(4x+2)+(3x+1) is a perfect way to explain FOIL. </li></ul>
3. 3. How to use FOIL <ul><li>First multiply the first numbers in each set of parenthesis : (4x+2)+(3x+1) </li></ul><ul><li>So 4x * 3x will be 12 2 . </li></ul><ul><li>Next multiply the first and last number inside of both parenthesis . </li></ul><ul><li>And 4x * 1 = 4x . </li></ul>
4. 4. Foil <ul><li>So far we have done the first and outer portion of foil . Now we have to do inner . </li></ul><ul><li>(4x+2)+(3x+1) </li></ul><ul><li>Now we have to multiply the last number in the first parenthesis by the first number in the second parenthesis . </li></ul><ul><li>And this will be 2*3x = 6x . </li></ul>
5. 5. FOIL <ul><li>Finally its time to do the last method of foil which is last . </li></ul><ul><li>You have to multiply the last numbers on each set of parenthesis : </li></ul><ul><li>(4x+2)+(3x+1)so multiplying 2 by 1 will be the final step . </li></ul><ul><li>And 2*1 = 2 </li></ul>
6. 6. Foil <ul><li>Now the last thing you have to do is add like terms . </li></ul><ul><li>From the previous slides the answers we’ve came up with when multiplying were : 12x 2 + 4x + 6x+1 </li></ul><ul><li>When you add like terms you have to find the numbers that are the same . </li></ul><ul><li>So now the equation will be 12x 2 +10x+1 . </li></ul><ul><li>Now that’s how you do F.O.I.L </li></ul>
7. 7. Distributive Property <ul><li>Another way to cancel out parenthesis is to do the distributive property . Here’s an equation to use distributive property . </li></ul>5(3x+2x)=10+15
8. 8. Using Distributive property <ul><li>First you have to add like terms inside of parenthesis and outside to use distributive property : </li></ul><ul><li>5(3x+2x)=10+15 </li></ul>The numbers circled are like terms .
9. 9. Adding the like terms <ul><li>Now that the like terms are identified you can add them . </li></ul><ul><li>5(3x+2x)=10+15 </li></ul><ul><li>5(5x)=25 </li></ul>
10. 10. Multiplying parenthesis <ul><li>When a number is beside a parenthesis , you have to multiply both numbers . </li></ul><ul><li>5(5x)=25 </li></ul><ul><li>Now multiply 5 by 5x . </li></ul><ul><li>The equation is “reduced” to </li></ul><ul><li>25x=25 </li></ul>
11. 11. Dividing <ul><li>Last , you have to divide : </li></ul><ul><li>25x = 25 </li></ul>25 25 25/25 is 1 and now the answer will be x=1 .
12. 12. The Box <ul><li>The box is a very simple way to distribute number equations : </li></ul>Box
13. 13. Using the box plot <ul><li>This is how you use the box plot . </li></ul><ul><li>If the equation is like the one we used for the foil method . (4x+2)+(3x+1) </li></ul>4x 2 3x 1
14. 14. Multiplying inside the box plot <ul><li>This is how you multiply using the box plot . You have to multiply all numbers outside of the box </li></ul>4x 2 3x 1 The arrows show How and what Numbers are being multiplied 2 6x 4x 12x