Solve for x:
-2x/8 - 1/4 = 3x/16
Friday, October 03, 2008
Thursday, October 02, 2008
Thursday, September 25, 2008
Quiz Tomorrow! 9/26
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?
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?
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
Monday, September 01, 2008
Friday, August 01, 2008
Tips Success in Mathematics
Most students begin the school year with the best of intentions. They are determined to keep up with their homework assignments and do well on quizzes and tests for the sake of their own success and to make their parents proud. However as the year progresses, students often fall into old habits and begin to be more lax about their studies. Consequently their grades suffer to the point where many do not even earn a passing score for the class.
The following is a list of suggestions to students who wish to succeed in their math studies throughout the year.
1. Come to class on time and every day: This is critical, as new material is covered in class almost every day. The number one cause for failure in school is irregular attendance. If you attend irregularly, you have little chance of success.
2. Keep up with your homework: This cannot be emphasized enough. Mathematics is a hierarchical subject. You cannot understand this week's material unless you understand last week's (or last month's) material. If you do not do homework regularly, at some point you will find yourself hopelessly behind! Homework is assigned to give students a chance to practice what they learned in class. Your teacher only assigns enough HW to ensure that you get adequate practice with all question types. Like any sport or musical instrument, the way you improve your skills is by practicing.
3. If you have problems, see your teacher: Believe it or not, most of us are pretty nice people. We want to get to know our students and we are willing to help.
4. Take advantage of math tutoring: If you are struggling with certain topics, attend a couple of tutoring sessions after school. Many students choose to do their homework during after-school tutoring so that they have one less assignment to complete when they get home.
5. Pay attention in class: Students often get distracted or begin thinking about their weekend plans in class. Instead, try to focus on what is being taught. Listen to questions being asked by other students and by your teacher.
6. Participate: Come to the board and volunteer to do problems. This gets you involved in more engaged in the math.
7. Ask Questions: This is critical. Don't wait until a few days before your exam to ask questions. And if you're too shy to ask questions in class, ask your teacher during lunch or SOS.
Finally, please understand that your success or lack thereof is your responsibility. Every one of the items above is under your control. You should not expect any special consideration from your teacher if you have missed classes, not done homework, or not put in a sufficient amount of time.
On the other hand, we understand that there are situations in which students are forced to miss classes, sometimes for an extended period of time, through no fault of their own. In these cases, you should try to stay in touch with your teacher through e-mail or some other means. There is no question that such absences will make your academic life more difficult, but, especially if you have demonstrated a sense of responsibility, your teacher will try to help you through these periods.
The following is a list of suggestions to students who wish to succeed in their math studies throughout the year.
1. Come to class on time and every day: This is critical, as new material is covered in class almost every day. The number one cause for failure in school is irregular attendance. If you attend irregularly, you have little chance of success.
2. Keep up with your homework: This cannot be emphasized enough. Mathematics is a hierarchical subject. You cannot understand this week's material unless you understand last week's (or last month's) material. If you do not do homework regularly, at some point you will find yourself hopelessly behind! Homework is assigned to give students a chance to practice what they learned in class. Your teacher only assigns enough HW to ensure that you get adequate practice with all question types. Like any sport or musical instrument, the way you improve your skills is by practicing.
3. If you have problems, see your teacher: Believe it or not, most of us are pretty nice people. We want to get to know our students and we are willing to help.
4. Take advantage of math tutoring: If you are struggling with certain topics, attend a couple of tutoring sessions after school. Many students choose to do their homework during after-school tutoring so that they have one less assignment to complete when they get home.
5. Pay attention in class: Students often get distracted or begin thinking about their weekend plans in class. Instead, try to focus on what is being taught. Listen to questions being asked by other students and by your teacher.
6. Participate: Come to the board and volunteer to do problems. This gets you involved in more engaged in the math.
7. Ask Questions: This is critical. Don't wait until a few days before your exam to ask questions. And if you're too shy to ask questions in class, ask your teacher during lunch or SOS.
Finally, please understand that your success or lack thereof is your responsibility. Every one of the items above is under your control. You should not expect any special consideration from your teacher if you have missed classes, not done homework, or not put in a sufficient amount of time.
On the other hand, we understand that there are situations in which students are forced to miss classes, sometimes for an extended period of time, through no fault of their own. In these cases, you should try to stay in touch with your teacher through e-mail or some other means. There is no question that such absences will make your academic life more difficult, but, especially if you have demonstrated a sense of responsibility, your teacher will try to help you through these periods.
Monday, June 09, 2008
Wednesday, June 04, 2008
Tuesday, June 03, 2008
Friday, May 30, 2008
Integrated Algebra Regents Prep!
Integrated Algebra Regents Prep (Oswego Prep Center)
Each topic has a link to practice questions - try 'em!
Each topic has a link to practice questions - try 'em!
Thursday, May 29, 2008
Tuesday, May 27, 2008
Thursday, May 22, 2008
Wednesday, May 21, 2008
Monday, May 19, 2008
Wednesday, May 14, 2008
Monday, May 12, 2008
Monday, May 05, 2008
Monday, April 28, 2008
Preparing for Regents
Use the following website to prepare for the June 17th exam.
Oswego Integrated Algebra Regents Prep
Oswego Integrated Algebra Regents Prep
Tuesday, April 08, 2008
Thursday, April 03, 2008
Tuesday, March 25, 2008
Tuesday, March 18, 2008
Monday, March 17, 2008
Monday, March 10, 2008
HW's
#82 due March 11th
f(x) = (1/3)x + 2
Model the function rule using a table of values and a graph.
#81 Due Monday March 10th
y = (-1/2)x + 1
Model the function rule using a table of values and a graph.
#80
page 260 21-23, 27-30, 32-35
#79
page 259 5-19 odd
#78
page 256 19-21, 23-25
#77
page 246 25-28 and page 247 1-9
f(x) = (1/3)x + 2
Model the function rule using a table of values and a graph.
#81 Due Monday March 10th
y = (-1/2)x + 1
Model the function rule using a table of values and a graph.
#80
page 260 21-23, 27-30, 32-35
#79
page 259 5-19 odd
#78
page 256 19-21, 23-25
#77
page 246 25-28 and page 247 1-9
Tuesday, February 26, 2008
Thursday, February 14, 2008
Monday, February 11, 2008
Thursday, February 07, 2008
HW #69
page 216-217 84-89
page 225 80-84
page 217 Number 89:
12 inches = 1 foot
5280 feet = 1 mile
page 225 Number 84:
x = bottles of shampoo Maxwell orders
3x + 25
4x + 5
Set up an inequality that allows you to determine x. From there compare the prices given in the equation w what you found for x.
page 225 80-84
page 217 Number 89:
12 inches = 1 foot
5280 feet = 1 mile
page 225 Number 84:
x = bottles of shampoo Maxwell orders
3x + 25
4x + 5
Set up an inequality that allows you to determine x. From there compare the prices given in the equation w what you found for x.
Tuesday, February 05, 2008
Wednesday, January 30, 2008
Tuesday, January 15, 2008
Monday, January 14, 2008
HW #61
Due Tues Jan. 15th
Page 184 1-15 ODD only
Exam on Thurs and Fri - TRY the Chapter One quizzes or test from the text's site
Page 184 1-15 ODD only
Exam on Thurs and Fri - TRY the Chapter One quizzes or test from the text's site
Monday, January 07, 2008
Thursday, January 03, 2008
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