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Problem solving in Algebra
by Young, Johnny C.
Publication:
Manila
National Book Store
1990
. xxi, 357 pages :
, Chapter 1 number-related problems –
Overview –
Problem solving proper –
A. Linear in one-unknown in 'x' –
B. Linear in two-unknowns in 'x' or 'x and y' –
C. Linear in three-unknowns in 'x' or 'x,y, and z' –
D. Quadratic in one-unknown in 'x' –
E. One linear one quadratic in 'x' or 'x and y' –
F. Quadratic in two-unknowns in 'x' or 'x and y' –
Chapter 2 digit-related problems –
Overview –
Problem solving proper –
A. Linear in one-unknown in 'x' –
B. Linear in two-unknowns in 'x' or 'x and y' –
C. One linear one quadratic in two-unknowns in 'x' or 'x and y'
D. Linear in three-unknowns in 'x, y, and z' –
Chapter 3 age-related problems –
Overview –
Problem solving proper –
A. Linear in one-unknown in 'x' –
B. Linear in two-unknowns in 'x' or 'x and y' –
C. One linear one quadratic in two-unknowns in 'x' or 'x and y' –
Chapter 4 geometry-related problems –
Preliminary remarks –
Metric system of measurement –
I. The line segment –
Overview –
Problem solving proper –
A. Linear in two unknowns in 'x' or 'x and y' –
B. Linear in three unknowns in 'x' or 'x, y, and z' –
C. One linear one quadratic in three-unknowns in 'x, y, and z' –
II. Angles –
Overview –
Problem solving proper –
A. Angles of a triangle –
B. Sides or altitude of triangles in general –
C. Sides of right triangles –
D. Practical applications –
E. Isosceles triangle –
IV. The rectangle –
Overview –
Problem solving proper –
A. Rectangles in general –
B. Sides or altitude of triangles in general –
C. Sides of right triangles –
D. Practical applications –
E. Isosceles triangle –
IV. The rectangle –
Overview –
Problem solving proper –
A. Rectangles in general –
B. Diagonal of a rectangle –
C. Practical applications –
V. The square –
Overview –
Problem solving proper –
VI. The circle –
Overview –
Problem solving proper –
VII. Non-specific proper –
VIII. Comparison of same sizes of different geometric figures –
Chapter 5 money-related problems –
Preliminary remarks –
A. Collection of coins/bills –
Overview –
Problem solving proper –
B. Interest-related problems –
Overview –
Problem solving proper –
A. Two-unknowns –
B. Three-unknowns –
C. Price-related problems –
Overview –
Problem solving proper –
A. Single item –
B. Cost contribution –
C. Double-triple items –
D. Distribution of a certain fund –
Overview –
Problem solving proper –
Chapter 6 balance-related problems –
Overview –
Nature of unknowns and probe solving illustrations –
A. Rod/Teeterboard/Seesaw –
1. Determining the amount of force to be applied –
2. Determining weight of one of two load –
3. Determining weight of one of three loads –
4. Determining weight of two loads –
5. Determining lever arm of one of two loads –
6. Determining lever arm of one of three loads –
7. Determining lever arm of two loads –
8. Determining total length of the lever –
9 Determining balancing point of two loads –
10. Determining balancing point with single load –
B. Cowbar applications –
11. Determining amount of force to be applied –
12. Determining weight of a load –
13 Determining balancing point –
Chapter 7 mixture-related problems –
Overview –
A. Blends/Assortments –
Overview –
Problem solving proper –
1. Single unknown –
2. Two unknowns –
B. Solutions alloys –
Overview –
Formulation & problem solving –
1. Single unknowns (Case #01 to #07) –
2. Two unknowns (Case #08 to #11) –
Chapter 8 clock related problems –
Overview –
Problem solving proper –
Chapter 9 work related problems –
Introduction –
Work rate in terms of the reciprocal of units of time spent to finish a job –
A. Determining total time to finish a job –
B. Determining additional time to finish a job left by another –
C. Determining individual rates of work –
D. Determining work rate of an individual in a team of workers –
Work rate in terms of quantity of job done per unit of time –
Chapter 10 motion-related problems –
Overview –
Formulation & problem solving proper –
A. Single formula applications –
1. Equal distance implied and overtaking situation –
2. Total distance implied and departing or meeting situations –
3. Difference in distances covered –
4. Total time implied over same distance –
5. Total time implied with rest time, over same distance –
6. Total time implied over different distances –
7. Time differences implied –
8. Equal distances implied with or against force –
9. Total time implied, with or against force –
10. Time differences implied with or against force –
11. Motion about right angle path –
12. Equal times implied –
13. Vertical motions –
B. Systems of formula applications –
1. Original vs changed condition in single described motion –
2. Changing conditions in single described motions –
3. Original vs changed condition in two described motions –
4. Alterations resulting in time differences –
5. Sum and difference of speeds –
6. Original vs changed condition with or against force –
7. Original vs, changed conditioned with or against force resulting in time differences –
8. Usual vs. changed route and mode of travel –
9. Usual vs. changed route and mode of travel with stalling.
Date:
1990
Availability:
Items available:
ASCOT Library - Zabali Campus
Filipiniana
[512]
(1),
ASCOT Library - Bazal Campus
Filipiniana
[Fil 512 Y84p 1990]
(1),
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