Problem-Solving Strategies:"Date" Word Problem

1, Mathcounts chapter–coundown-50-2007(52)

January 1, 2007 was a Monday.  In 2007, how many Friday are there?

2,AMC8-2002-5

Mary was born on Sat. Nov. 9, 2002, on what day of the week will Mary be 706 days old

3,AMC8-2008-3

If Feb. is a month that contains Friday the 13th, what day of the week is Feb. 1


Worksheet1

Problem-Solving Strategies: "Distance" and "Work" Word Problem

Distance= Rate X Time
D = RT

"Distance" Word  problem

1, chapter-sprint-24-2007(10)

Grady rides his bikes 60% faster than his little Noah.  If Grady rides 12 miles further than Noah in two hours, how fast does Noah ride?

If the rate of Noah is R, the rate  of Grady is 1.6R

1.6R x2 =2R + 12

Therefore, The rate of Noah is 10 

2, AMC10A-2002-12(48)

Mr. Earl E. Bind leaves for work at exactly 8:00 A. M. every morning. When he average 40 miles per hour, he arrives at his workplace three minutes late. When he averages 60 miles per hour, he arrives three minutes early. At what average speed, in miles per hour, should Mr. Bird drive to arrive at his workplace precisely on time?

Since D = RT 

40(t+3/60)= 60(t- 3/60) , therefore t=1/4(hour), d=24(mile)

R=d/t=24/(1/4) = 48 (mile)

"Work" Word Problem

1, chapter-team-10-2007(462)

Bricklayer Ben places 42 bricks per hour. Bricklayer Bob places 36 bricks per hour. Bricklayer Bob worked twice as many hours as Bricklayer Ben, and the two of them placed a total of 1254 bricks. How many bricks did Bricklayer Ben place?

If Bricklayer Ben works for t hours, then

Bricklayer Ben places 42t (bricks)

Bricklayer Bob places 36 x2t=72t(bricks)

Together

42t + 72t =1254,   therefore t= 11

Then we knowBricklayer Ben places 42t =42 x11=462 

More study

D=RT

Worksheet1

05-13-2011-math meeting

We have finished  Practice California Standard Test.
Children are doing so well that we have time to work on some word problems.

We go through
Some algebra word problems
Distance Problem：D=RT
  

Stan drove 300 miles in 5 hours, 20minutes.  Next, he drove 360 miles in 6 hours, 40 minutes.  What was Stan’s average speed in miles per hour for the total trip?（chapter-coundown-19-2007(55)）

Age  Problem：

John is twice as old as his son.  In 42 years, the ratio of their age will be 4:3.  What is the son’s current age?

More study: 

Algebraic translation

Solving Quadratic Equations by completing Square

Math meeting 5-7-2011-Algebra Review

We  have finished the second practice test.
You can find the test and answer key here

Practice test 2: Part I, Part II ,III, IV, Printable answer key

More study:
 Practice Working with Slope and Equations of Lines :#13
Practice Working with Graphs and Equations of Lines
 Discount price: #19
 Solving Graphically - Linear Quadratic Systems:# 38

Algebra I Review

Math meeting 4-29-2011

Dear all,

We have an awesome meeting today.

Children feel much more comfortable for the math we did today and they really did a very good job.

Since finial is coming, we will continue to review the school math until school end.

Here are the material we have done today

7th Grader-Regents Practice Tests: We have finished practice test 1

6th Grader-Pre-Algebra Final Exam

Further Study-
Problem solving strategy-Algebra practice test 1
1,Mean, median, mode :#6, #39
2,Venn Diagrams : #13
3,Pythagorean Theory: #33

“Average Speed “ v.s. “Average Number”

Average speed = total distance divided by total time= total distance / total time

1, chapter-coundown-19-2007(55)

Stan drove 300 miles in 5 hours, 20minutes.  Next, he drove 360 miles in 6 hours, 40 minutes.  What was Stan’s average speed in miles per hour for the total trip?

The average (arithmetic mean) is the sum of the values divided by the number of values.

Example : 5, 9, 10
Their sum is 5+9+10 = 24 and there are 3 numbers
The average is 24/3 = 8

1, school-sprint-20-2008(94)

Thomas took three 100-point quizzes, and the mean score for three quizzes was 87 points.  If the highest score is taken away, the mean of remaining two scores would be 83.5 points.  If the lowest score is taken away, the mean of the remaining two scores would be 89 points,  What is the highest score?

2, chapter-sprint -7-2007(1)

The mean of four distinct positive integers is 5,  If the largest integer is 13, what is the smallest integer?