Mr. Napoli's Algebra: 2011

Tuesday, December 20, 2011

Aim: How do we study for Test 7?

Notice:

Test 7 this Thursday Dec 22

Topics Include

Factoring
Solving quadratics
Verbal quadratic problems
Undefined Fractions

Homework: Complete test review sheet.

Monday, December 19, 2011

How do we solve more word problems that are modeled with a quadratic equation ?

Homework: Complete handout

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AE5/LFacEq.htm
Practice Exercise: http://www.regentsprep.org/Regents/math/ALGEBRA/AE5/PFacEq.htm
Video Review:
http://www.phschool.com/atschool/academy123/html/bbapplet_wl-problem-431091.html

Regents Practice Answers:

August 2008 Click below

http://homeinstructionschools.com/shack/ia-8-13-08.pdf

January 2009 Click below

http://homeinstructionschools.com/shack/ia-1-29-09.pdf

Regents Practice Answers:

Ju
ne 2009 Click below
http://homeinstructionschools.com/shack/ia-6-19-09.pdf

Friday, December 16, 2011

Aim: How to solve MORE quadratic equations using the ze...

im: How to solve quadratic equations using the zero product property?

Homework: Text Book Pg. 507 #2-18 Even #'s only.

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AE5/LFacEq.htm
Practice Exercise:
http://www.regentsprep.org/Regents/math/ALGEBRA/AE5/PFacEq.htm

Regents Practice Answers: August 2008 Click belowhttp://homeinstructionschools.com/shack/ia-8-13-08.pdf January 2009 Click belowhttp://homeinstructionschools.com/shack/ia-1-29-09.pdf

Wednesday, December 14, 2011

Aim: How do we factor a trinomial where a>1?

Homework: Complete all problems on handout
ME12

Lesson Review:
http://www.regentsprep.org/Regents/math/ALGEBRA/AV6/LtriComplete.htm
Practice Exercises:
http://www.regentsprep.org/Regents/math/ALGEBRA/AV6/PracFact6.htm

Thursday, November 17, 2011

Quarterly Test Review #2

Homework: Complete handout on the left.

NOTICE: Quarterly test will be administered next Tuesday, November 22. Topic to be included but not limited to are as follows;

Motion problems

Coin problems

Consecutive integer problems

Solving and graphing inequalities

Solving e quations

Ratio Problems

Percent problems

Percent change problems

Properties of numbers

Adding and subtracting polynomials

Aim: How do we multiply monomials?

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

Wednesday, November 16, 2011

Aim: How do we solve motion problems involving one object.

Homework: Complete Handout sheet both sides

Lesson Review:

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

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

Tuesday, November 15, 2011

Aim: How do we solve opposite direction motion problems using the distance formula D=RT ?

Homework: Handout sheet side 2

Lesson Review:

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%20Time%20Word%20Problems.pdf

Aim: How do we solve same direction motion problems?

Homework: Complete handout above.

Wednesday, November 9, 2011

Aim: Test Review 4

Notice: Test4 is tomorrow

Topics included but not limited to;

Simple and verbal percent problems
Consecutive integer problems
ratio and proportion problems
Todate algebra problems

Homework: Complete test review sheet

Answers included in this post.

Friday, November 4, 2011

Aim: How do we solve coin problems?

Homework: Complete handout sheet

Lesson Review:
Remember that the number of coins times the value of each coin in cents, is = total value of the coins in cents.

Example:
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 (x is always = to the coin in the problems that follows the word "than" or "as") then, 4x is = to the 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 $2.20 cents which is the same as 220 cents after we multiply $2.20 times 100 cents.

Now we write the equation: Dimes + Quarters = $2.20
x + 4x = $2.20 Now I can't add a dime and a quarter without converting then to cents, so:
(10)x + 25(4x) = $2.20 (100)
1 0 x + 100x = 220
110x= 220
x= 2 , so there are 2 dimes.
Therefore 4x quarters is 4(2) which = 8 quarters.
Practice Exercises:
http://mathforum.org/dr.math/faq/faq.coins.html
http://www.purplemath.com/modules/coinprob.htm
http://www.onlinemathlearning.com/coin-problems.html

Wednesday, October 26, 2011

Aim: How do we solve percent word problems?

Note: Below are extra credit problems.

Due: Thursday Oct. 26 th Only. Each problems is worth 1 point on your next test.

Homework: Complete handout sheetLesson

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

Practice Exercise:

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

Extra credit:

1) If a scale model Corvette is 8 inches in length, what is the actual size of the car

if the scale is 1: 32.

2) A flat screen 55 inch HD Television with 3D capability is being sold at 15% below the manufacturers recommended price of $2300. If there is an 8% sales tax on the actual selling price, what is the final cost to the customer including the tax?

3) If an Xbox costing $300 sells for $318, including tax, what is the tax rate?

Tuesday, October 18, 2011

Aim: How do we solve EVEN and ODD consecutive integer problems.

Homework: . Consecutive even and odd integer problems, all problems both sides. )

Lesson review:
For consecutive odd or even integers, also always start with a Let Statement and increment by 2:

ExampleLet:1st # = x
2nd # = x+2
3rd # = x+4
4th # = x+6
Then translate a verbal problem into an algebraic equation and solve