Title LECTURE NOTES DAY 02_ALGEBRA 02.pdf ✅

DAY 2: ALGEBRA 2 A logo with a white letter Description automatically generated LECTURE OUTLINE • Age Problem • Digit Problem • Clock Problem • Mixture Problem • Money Problem • Other Word Problems Malayo pa, pero ang layo pa rin talaga
DAY 2: ALGEBRA 2 AGE PROBLEM Malayo pa, pero ang layo pa rin talaga In problems where the ages of the people involved are required, the main principle is that all people age at the same rate. Say A and B are the ages of two people at year 1. At year 5, four years from now, their ages will be A+4 and B+4, respectively. This principle can also work retroactively for their past ages. Always remember that when there are n unknowns in a problem, n equations are required. Tables are useful when solving age problems. A logo with a white letter Description automatically generated Person Past age (k years before) Present age Future age (k years from now) Person 1 A − k A A + k Person 2 B − k B B + k ... ... ... ...
DAY 2: ALGEBRA 2 AGE PROBLEM Malayo pa, pero ang layo pa rin talaga The wording in the situation is also crucial. • Ages described with “was” means that it is a past age. • If it is described with “is,” then it is the present age. • Future ages are described with “will be.” “Daniel is twice as old as James was three years ago.” D = 2(J − 3) A logo with a white letter Description automatically generated Person Past age (3 years ago) Present age Daniel D − 3 D James J − 3 J