Tuesday, June 19, 2018


1. Multiplication
• Multiply 6 by 3. 
• Solve this equation by adding the number "6" to the original "6" two times.
• 6+6+6=18

2. Division
• Divide 8 by 2. 
• Reduce 8 as many times as you can above the division line then reduce 2 as many times as you can under the division line. 
• You should come up with 4/1. 
• 8 is divided by 2 four times. 

3. Fractions
• Add 1/4 and 1/5. 
• Multiply the first fraction by 5 and the second fraction by 4 before adding each fraction.  
• 5/20 + 4/20 = 9/20
• Subtract 2/7 from 5/7. 
• 5/7 - 2/7  = 3/7

4. Algebra 
• 30 (x) = 30x
• 3(2x+5y) = 6x+15y
• 5(4y-3x) = 20y-15x 

5. Square roots and cube roots
 • 6² = 6*6=36
 • 3³√ =3*3*3=27

 6. What it means to do distribution and like terms
• Anytime a number is in front of parentheses, it's called a distributor.
• Let's say you had to solve 3(4y-2) + 5y
• Do: 3(4y-2) + 5y
• Done? The answer is 3 times 4y minus 3(2) + 5y = 12y - 6 + 5y = 17y - 6. The 3 is the distributor and the like terms are 12y and 5y. 

7. Combining different algebra terms then solving equation
• Let's do 7ab - 3bc - 2ab + 5bc.
• You may be able to solve this in your head but you still need to know how to write it out, especially if a situation appears in which you must show your teacher your work. After you work out the equation above, I'll show you how I did it. If I were you, I would break up the individual components and use parentheses.
• Done?
• I did it this way: 1. (7ab - 2ab) = 5ab, 2. (5bc - 3bc) = 2bc, 3. Final answer is 5ab + 2bc. 

8. Doing division the easy way
• Yes, you can separate two numbers by a division sign bracket then work out the equation in long form fashion but why would you want to?
• There's an easier way to do this.
• If you had to divide 16 by 4, you can simplify this by multiplying "4" by itself as many times as it takes to reach "16" in your head or on paper to get the answer.
• Do: 16 ÷ 4
• Done? The answer is 4. 4 x 4 x 4 x 4 = 16; therefore, 16 ÷ 4 = 4. 

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