ME12 Aim: How to Solve Inequality Applied Problems?

ME12
HW: Worksheet Questions #6 & #8

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AE8/CompoundLinequal.htm


Practice Exercises:
http://www.regentsprep.org/Regents/math/ALGEBRA/AE8/PracIneqD.htm


ME92 Aim: Review Day
No HW

ME12 Aim: How do we solve multistep inequalities?

ME12
Homework: Complete handout Side 2.

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AE8/LSolvIn.htm
Practice Exercise:
http://www.regentsprep.org/Regents/math/ALGEBRA/AE8/PSolvIn.htm

Video Lesson:
http://www.phschool.com/atschool/academy123/html/bbapplet_wl-problem-430715.html

ME92: Aim: How do we mulitply monomials?

ME 92
Homework: Handout worksheet, both side.

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AV3/PracMon.htm
http://www.regentsprep.org/Regents/math/ALGEBRA/AV3/multMon.htm
.

Practice Exercise:
http://www.regentsprep.org/Regents/math/polymult/PracPow.htm

Video Lesson:
http://www.teachertube.com/v.php?viewkey=151ef85e617f5aa3867a

ME12/ME92 Test Today

ME12/ME92 Review for Test #3

See previous postings for topics

Aim: ME 12 How do we solve and graph one step inequalities?

Aim: ME 92 How do we divide and work with monomials with zero,and negative exponents?

TEST 3 Wednesday, October 29
See October 23, post for test topics

ME 12
Homework: Handout side 2

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AE8/LSolvIn.htm

Practice Exercise:
http://www.regentsprep.org/Regents/math/ALGEBRA/AE8/PSolvIn.htm

ME92
Homework: Complete handout - Review Sheet

Lesson Review:
http://regentsprep.org/Regents/math/exp/LExp.htm

Practice Exercise:

Announcement - Next Test on Oct. 29th, Wednesday

Test Topics For ME12
1. Using Rate times Time equal Distance word problems
2. Find number of coins word problems
3. Find Ratios & Solve Proportion word problems
4. Find Percent of a number including Finding percent decrease or increase
5. Solve one-step inequalities and graph
6. Previous topics such as Solving equations & Consecutive Integer problems

Test Topics for ME92

1. Find Ratios & Solve Proportion word problems
2. Find Percent of a number including Finding percent decrease or increase
3. Solve one-step,two-steps inequalities , compound inequalities and graph inequalities
4. Solve word problems with inequalities
5. Multiply & Divide monomials by monomials
6. Previous topics such as Solving equations & Consecutive Integer problems

ME12 Aim: How do we solve more difficult percent problems?

HW: Complete even number questions on lesson handout sheet and practice exercise below.

Lesson Review

http://www.regentsprep.org/Regents/math/ALGEBRA/AO3/Lpercent.htm

Practice Exercise:http://www.regentsprep.org/Regents/math/ALGEBRA/AO3/pracPer.htm

ME92 Aim: How to Multiply or Square Monomials?

HW: Do side 2 of worksheet and/or practice exercises below

Lesson Review:
http://www.algebra-online.com/multiplying-monomials-1.htm
http://www.teachertube.com/view_video.php?viewkey=151ef85e617f5aa3867a


Practice Exercises:
http://www.studyzone.org/mtestprep/math8/g/8multmonop.cfm
http://www.studyzone.org/mtestprep/math8/g/8multmonoquiz.cfm

ME12 Aim: How to solve precent increase or decrease problems?

HW: Complete side 2 of worksheet or do practice exercises below.

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AO3/Lpercent2.htm

Practice Exercise:
http://www.regentsprep.org/Regents/math/ALGEBRA/AO3/pracPer.htm
http://www.kutasoftware.com/FreeWorksheets/Percent%20C

ME92 Aim: How to solve compound inequality equations?

HW: Complete side 2 of worksheet or do practice exercises below.

Lesson Review:

http://www.algebra-online.com/solving-compound-inequalities-1.htm

Practice Exercises:

http://www.regentsprep.org/regents/math/ALGEBRA/AE8/Pinequalompound.htm

ME12: How to Find Percent of a Number?

HW: Complete Worksheet by doing the even numbered questions or do practice exercises below.

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AO3/Lpercent.htm

Practice Exercise:
http://www.regentsprep.org/Regents/math/ALGEBRA/AO3/

ME92 Aim: How to solve verbal inequality equations?

HW: Page 159-160 / # 11 to 15 and #21 to 23

Lesson Review:
Brian wants to ride the Ultramonster roller coaster. He observes the sign at the entrance that says riders must be at least forty-six inches tall to ride the roller coaster. Since Brian was at the doctor's office yesterday he remembers they said he was

three and a half feet tall. Is he tall enough to ride the Ultramonster?

http://math.com/school/subject2/lessons/S2U1L4GL.html
http://www.math-videos-online.com/inequality-word-problem.html
http://answers.yahoo.com/question/index?qid=20071117173633AA718ep

Practice Exercises:
http://www.algebralab.org/practice/practice.aspx?file=Word_Inequalities.xml

ME12 Aim: How to Write Ratios & Solve proportion problems?

HW: Page 213/ # 3, 8, 9, 13, 16 and Page 215/ # 9, 11

Lesson Review:
http://www.purplemath.com/modules/ratio.htm
http://www.mathleague.com/help/ratio/ratio.htm

Practice Exercises:
http://www.regentsprep.org/Regents/math/ALGEBRA/AO3/pracRatio.htm
http://www.regentsprep.org/Regents/math/ALGEBRA/AO3/pracProp.htm

ME92 Aim: How to solve one or more steps inequality equations?

HW: Complete side 2 of worksheet or do the practice exercises below.

Lesson review:

http://www.purplemath.com/modules/ineqlin.htm

Practice Exercises:

http://kutasoftware.com/FreeWorksheets/Graphing%20Inequalities.pdf
http://kutasoftware.com/FreeWorksheets/Two-Step%20Inequalities.pdf

ME12 Aim: Additional Coin Problems

HW: Complete Side 2 of worksheet

Lesson Review:

Nathalie has five times as many nickels than dimes. If she has a total of $3.15, how many nickels does she have?

Let x represent the number of dimes and 5x represent the number of nickels.
Let $3.15 = 315 cents
Then the total value : 10x + 25(5x) = 315
which simplifies to : 10x + 125x = 315
which simplifies to: 135x = 315
which simplifies to: x = 3

Solutions: 3 dimes and 5(3) = 15 nickels


Practice Exercises:
http://www.youtube.com/watch?v=M4-xobpf3EM

ME92 How to Graph and solve an inequality equation?

HW: Complete side 2 of worksheet or do the practice exercises below.

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AE8/LSolvIn.htm
http://www.onlinemathlearning.com/algebra-inequalities.html


Practice Exercises:
http://www.regentsprep.org/Regents/math/ALGEBRA/AE8/PSolvIn.htm

ME12 Aim: What are the values of Coins and how to find how many of them?

HW: Pg. 139/ #35 and Pg. 141/ #42 and complete class worksheet

Lesson Review:
Keep in Mind
Number of coins x Value of each coin in cents = Total value of the coins in cents


Bill has 4 times as many quarters as dimes. In all he has $2.20. How many coins of each type does she have?

Solution: Let x= number of dimes and 4x = number of quarters
The value of a dime is 10 cents and the value of a quarter is 25 cents
The total value of all the coins is 220 cents.
Write the equation: 10x + 25(4x) = 220
10x + 100x = 220
110x = 220
x= 2
Answers: 2 dimes and 4(2) = 8 quarters

http://mathforum.org/dr.math/faq/faq.coins.html
http://www.purplemath.com/modules/coinprob.htm


Practice Exercises:
http://www.onlinemathlearning.com/coin-problems.html#coin

ME92: How to calculate Percent Increase or Decrease ?

HW: Page 232/ #40, 43 and Complete side 2 of worksheet

Lesson Review: General Rule = Difference in price/ original price times 100

During a sale, the price of a dress decreased from $48 to $32. What was the per cent of the decrease in price?
First find the difference in price. $48 - $32 = $16

To find the percent we divide the $16 by the original price of $48 and then multiply by 100 to get the perent. 16/48 times 100 = .333 times 100 = 33.3 %

Practice Review:

http://kutasoftware.com/PreAlgWorksheets/Finding%20Percent%20Change.pdf

ME12/92 Aim: Review Day

End of first quarter: Hand in your extra credit project & test corrections.
PSAT Test day - special schedule

No Homework

ME12 Aim: How to solve Distrance,Rate and Time Problems?

HW: Get you extra credit & test corrections done.
Complete side 2 of worksheet
Lesson Review: D = RT
Example problem: How far can a man drive out into the country at the average rate of 40 mph and return over the same road at the average rate 30 mph if he travels a total of 7 hours?
Need to find T then substitute in RT to find distance in D=RT

Tout + T back = 7 hrs and Distance out is same as the Distance back

Tout + Tback = 7hrs.
Let Tout = X
X +Tback = 7hrs
subtract X from both sides:
Tback = 7hrs - X
So: T out = X and T back = 7-X

Dout = RT = 40mph x X
Dback = RT 30mph x (7-X)
If Dout = Dback
Then 40X = 30 (7-X)
40X = 210 -30X
40X + 30X =210
70X = 210
X=3 hrs
Dout = RT = 40(3) = 120 miles
as a check Dout should = Dback
Dback = RT = 30 (7-x) = 30(7-3) = 30(4) = 120 miles

Opposite motion problems: Remember that Distance is = to the rate or speed times the time D = RT in all of the following problems D is replace by the values of RT when known or by one of the values and a variable either R or T.


Example: Two cars start from the same point at the same time and travel in opposite directions. The slow car travels at 28 mph,and the fast car travels at 35 mph.
In how many hours will the cars be 252 miles apart?
Given is R for each car and the total distance travelled by both cars going in opposite directions.
Find T, the time, in hours travelled that each car travelled.

Solution: Start by defining a Let Statement:
Let x = the number of hours traveled by each car. Both cars are travelling for the same time T.
Let Slow car distance be D1 and fast car distance be D2

For Car 1 D1 = R1T For Car 2 D2 = R2T

D1 + D2 = Total Distance Now substituting RT for distances D1 and D2

R1T + R2T = Total Distance
28mph x X + 35mph x X = 252 miles
28X + 35X = 252 miles.
63X = 252
X= 4 hrs


Practice Exercise:
http://kutasoftware.com/FreeWorksheets/Distance%20Rate%

ME92 Aim: Continue with Solving Verbal Percent Questions

HW - Textbook Page 231-232 / #28 - 31 and 41

Lesson Review: Read in your textbook the examples on pages 239-230.

Practice Exercises: http://kutasoftware.com/FreeWorksheets/Percent%20Problems.pdf

For ME12 Aim: How to calculate with D = RT formula?

Homework: Do side 2 of handout- All questions.

Lesson Review:

Example: Two cars start from the same point at the same time and travel in opposite directions.
The slow car travels at 28 mph,and the fast car travels at 35 mph. In how many hours will the cars be 252 miles apart?

Let h = the number of hours traveled by each car.
First fill in the rate and time for each car.
Then represent the distance for each car.
(mph) (hr) (mi)
Rate times Time equal Distance
Slow car 28 times h = 28h
Fast car 35 times h = 35h
The total distance traveled is 252 miles
28h + 35h = 252
63h = 252
h = 4 Solution is 4 hours

Practice Exercise:
http://kutasoftware.com/FreeWorksheets/Distance%20Rate%20Time%20Word%20Problems.pdf

For ME92 Aim: How do we work with percent problems?

Homework: Complete handout sheet

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AO3/Lpercent.htm

Practice Exercise:
http://www.regentsprep.org/Regents/math/ALGEBRA/AO3/pracPer.htm

Tuesday, October 7, 2008

Aim: Review for Test #2

Test 2 Tomorrow. See test topics posted in the previous 3 days posts.

Homework: Complete and study topics of test 2 review sheet.

Aim: How do we work with ratios and proportions?

Homework: Handout, side 2, All questions
Post answers here for extra credit (click on Comments field below to post).

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AO3/Lratio.htm
http://www.regentsprep.org/Regents/math/ALGEBRA/AO3/Lprop.htm

Practice exercise:
http://www.regentsprep.org/Regents/math/ALGEBRA/AO3/pracRatio.htm
http://www.regentsprep.org/Regents/math/ALGEBRA/AO3/p

Aim: How do we solve consecutive odd or even integers?

HW: Side 2 of Worksheet - All questions

Lesson Review: For consecutive odd or even integers, also always start with a Let Statement and
increment by 2:
Example
Let:
1st # = x
2nd # = x+2
3rd # = x+4
4th # = x+6
Then translate a verbal problem into an algebraic equation and solve.

Aim: How do we solve consecutive integer problems ?

Aim: How do we solve consecutive integer problems ?

Test #2 on Wednesday Oct 8: Will include

• Adding and subtracting monomials and polynomials
• Solving 1 and two step equations with variables on one and two sides
• Solving Literal equations
• Solving verbal problems with equations
• Solving consecutive integer problems
• Solving consecutive even and odd integer problems
• Ratio and proportion problems
  

Homework: Side 2 "Consecutive integer problems, all problems

Post answers here for extra credit (click on Comments field below to post).
Lesson review: For consecutive integers, always start with a Let Statement and
increment by 1:
Example
Let:
1st # = x
2nd# = x+ 1
3rd #= x + 2
4th # = x + 3 set of numbers
Then translate a verbal problem into an algebraic equation and solve

For consecutive odd or even integers, also always start with a Let Statement and
increment by 2:
Example
Let:
1st # = x
2nd # = x+2
3rd # = x+4
4th # = x+6
Then translate a verbal problem into an algebraic equation and solve

Monday, September 29, 2008

Aim: How do we solve verbal problems modeled with algebraic equations II?

Note: Test #2 Next Wednesday, October 8th
Homework: Complete handout sheet, all problems.


PracticeExercises:
http://www.regentsprep.org/Regents/math/ALGEBRA/AE1/PAlgTrans.htm
http://www.regentsprep.org/Regents/math/ALGEBRA/AE2/PTransSolvEq.htm

AIM: How do we solve verbal modeled with an equation?

Homework: Complete handout sheet, all problems.
Practice Exercises:
http://www.regentsprep.org/Regents/math/ALGEBRA/AE1/PAlgTrans.htm
http://www.regentsprep.org/Regents/math/ALGEBRA/AE2/PTransSolvEq.htm