Part A.
How would you simplify the following problem remembering that the minus must be changed to a plus -1 then the -1 distributed?
(2x - 3) - (4x - 6)
Now that you've combined the like terms could you solve for x?
(2x - 3) - (4x - 6) = 13
Part B.
Try a few problems using the steps you used in Part A. Show your work.
1. (3 - 9x) - (-1x + 4) = 9 2. -2(2x - 3 + x) = 9
Part C.
How would you utilize the laws of exponents and your knowledge of like terms to simply the following:
4(x^2y^2)^2 / 2x^3y^6
Part D.
If you are having difficulty, break it down…
1. On top use power to a power to include the square into the x2 and y2 within the parentheses
2. Now separate the parts then divide the numbers and use quotient laws for the variables
numbers x's y's
3. Is your solution 2x/y^4? If not, try again you'll get it! If so, you got it!
Part E.
Try a few problems using the steps you used in Part D.
1. 2.
Part F.
Choose 3 examples completed in class or for homework that were difficult for you and recopy them below. Do not copy the answers! Try and solve them then check your answers with what was done in class.
1. 2. 3.
Part G.
Simplify and solve the problems done on the last quiz. Can you get them now?
1a. Simplify the expression. 5g^5h^6 * 2g^4h^-2
2b. Evaluate the simplified expression for g = 2 and h = -1
3. Simplify the following problems:
(25y^2 + 5y +4) + -1 (-9y^2 – 12y – 7) (25y^2 + 5y +4) - (-9y^2 – 12y – 7)
*hint change the minus in the middle to a plus -1. then distribute the one. Now doesn’t it look like the first problem?
Thursday, September 25, 2008
HW #15 due 9/25
HW #15 due 9/25/08
Show why 2^3 x 2^4 = 2^1 x 2^6
Explain in a sentence or two why 2^3 x 2^4 = 2^1 x 2^6
____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Nancy is simplifying the expression (4^3 x 4^2)^6. She thinks that since the bases are the same, she can add all the exponents. On the lines below, explain why you agree or disagree with Nancy’s idea. Then simplify the expression.
______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Simplify (4^3 x 4^2)^6 = ______________________________
Show why 2^3 x 2^4 = 2^1 x 2^6
Explain in a sentence or two why 2^3 x 2^4 = 2^1 x 2^6
____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Nancy is simplifying the expression (4^3 x 4^2)^6. She thinks that since the bases are the same, she can add all the exponents. On the lines below, explain why you agree or disagree with Nancy’s idea. Then simplify the expression.
______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Simplify (4^3 x 4^2)^6 = ______________________________
Tuesday, September 23, 2008
Monday, September 22, 2008
HW #13
1. Use the following expression to answer parts A & B
(25y^2 + 5y +4) + -1 (-9y^2 – 12y – 7)
Part A. Explain your steps to simplifying and solving the equation above.
step 1.______________________________________________
step 2.______________________________________________
step 3.______________________________________________
step 4.______________________________________________
step 5.______________________________________________
step 6.______________________________________________
Part B. Simplify the expression. Show your work.
__________________________
2. Simplify the expression. Show your work.
(25y^2 + 5y +4) - (-9y^2 – 12y – 7)
3. On the back discuss the answers for 1Part B and 2. Where the answers you got similar or different? Why?
(25y^2 + 5y +4) + -1 (-9y^2 – 12y – 7)
Part A. Explain your steps to simplifying and solving the equation above.
step 1.______________________________________________
step 2.______________________________________________
step 3.______________________________________________
step 4.______________________________________________
step 5.______________________________________________
step 6.______________________________________________
Part B. Simplify the expression. Show your work.
__________________________
2. Simplify the expression. Show your work.
(25y^2 + 5y +4) - (-9y^2 – 12y – 7)
3. On the back discuss the answers for 1Part B and 2. Where the answers you got similar or different? Why?
Friday, September 19, 2008
Wednesday, September 17, 2008
Saturday, September 06, 2008
HW #4
Add to your dictionary or index cards:
Exponents
Product Law of Exponents
Quotient Law of Exponents
Power to a Power Rule
Zero Exponent - Any number raised to the zero power as 1. IE a^0 = 1
Negative Exponent
(click on links for some examples and definitions)
Exponents
Product Law of Exponents
Quotient Law of Exponents
Power to a Power Rule
Zero Exponent - Any number raised to the zero power as 1. IE a^0 = 1
Negative Exponent
(click on links for some examples and definitions)
Wednesday, September 03, 2008
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