Algebra Word Problems: Comprehensive Examination 1, Module 1, Summaries of Trigonometry

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COMPREHENSIVE EXAMINATION 1

MODULE 1 Instructor: Engr. Derick Aldrin L. Esteban REPUBLIC OF THE PHILIPPINES NUEVA ECIJA UNIVERSITY OF SCIENCE AND TECHNOLOGY CABANATUAN CITY, NUEVA ECIJA

ALGEBRA

Word Problems

SAMPLE PROBLEM 1

A four digit number is 576 less than twice its reversed form. The thousand’s digit is twice its one’s digit. The sum of the ten’s digit and one’s digit is 1 more than the thousand’s digit. If the sum of the digits is 9, what is the value of the number?

AGE

PROBLEM

• Set your variables

• Identify the

equations in the

problem

• Eliminate and

solve for the

variables

SAMPLE PROBLEM 3

The age of Diophantus, a Greek Mathematician of about 250AD may be calculated from the epitaph which may be translated as follows: Diophantus passed one-sixth of his life in childhood, one-twelfth in youth, and one-seventh as a bachelor. Five years after his marriage was born a son who died after four years before his father is half his age. How old when he died?

CLOCK

PROBLEM

Relate the hand movements to minutes Seconds = 60x Minutes = x Hours = x/

CLOCK

PROBLEM

WORK

PROBLEM

SAMPLE PROBLEM 6

If 44 men working 16 hours a day can do a piece of work in 30 days, then how many days can 32 men working 10 hours a day do the same work?

MIXTURE

PROBLEM

Equation 1: Weight or Volume Equations Equation 2: Concentration Equations

SAMPLE PROBLEM 8

A chef Bi, wishes to create^ •

500ml of his secret sauce that is 28% vinegar. He has two sauces available, one of which is 20% vinegar the other 30%. How many mL of each should he use to make his secret sauce.

TRIGONOMETRY

GEOMETRY

SAMPLE PROBLEM 9

A man is at the rooftop of a building. He sees his son at a point directly south of the building with an angle of depression of 50°. Meanwhile, his daughter is seen directly west of the building at an angle of depression of 25°. The distance between his son and daughter when measured by a straight line is 300m. Calculate for the height of the building.

GEOMETRY