Word Problems Linear

1. LINEAR EQUATION

2. Translating word statements into
algebraic expressions
•Eleven multiplied by the quantity x plus five
•Two thirds of a number is 20
•The product of two numbers is 85 and one number is 5
•The product of 3 and b added to five times x decreased by 2
times y
•Twice a number y diminished by 4 is equal to thirty one
•The average of three numbers a, b and c
•The cube of m divided by the square of m equals the square of
m divided by m
•Three times a certain number (n) is eight more than a second
number (s)
•Two more than thrice a number
•The sum of a number and 5 diminished by 6
•Represent two consecutive numbers

3. •NUMBER PROBLEMS
–The sum of three integers is 27. The
second integer is two less than twice the
first integer, and the third integer is 5
greater than three times the first. Find
the numbers.
–The total of two integers is 43. Double
the bigger integer exceeds three times
the smaller integer by sixteen. What are
the integers?
PROBLEMS INVOLVING
SIMPLE LINEAR EQUATIONS

4. PROBLEMS INVOLVING
SIMPLE LINEAR EQUATIONS
•AGE PROBLEMS
–Mr. Avila is four times as old as his son.
In 16 years he will be only twice as old.
What are their ages now?
–Five years ago Mike was twice as old as
Berto. The sum of their ages six years
hence will be forty years. What are their
present ages?

5. PROBLEMS INVOLVING
SIMPLE LINEAR EQUATIONS
•MIXTURE PROBLEM
–How many liters of 70% methyl solution
should be added to 200 liters of a 20% methyl
solution to obtain a 35% methyl solution?
–How many grams of pure gold must be added
to 100 gm, 50% pure, to make a mixture,
which is 75 pure?

6. •INVESTMENT PROBLEMS
–A businessman invested P16,000, part at 9%
and the rest at 4%. His total interest from both
investments was P990. How much did he invest
at each rate?
–A man invested P10,000 part of it at 4% and
the rest at 5% interest. If the total income
from each of these investments amounted to
P480.00, how much was invested at each rate?
PROBLEMS INVOLVING
SIMPLE LINEAR EQUATIONS

7. PROBLEMS INVOLVING
SIMPLE LINEAR EQUATIONS
•MOTION PROBLEM
–Two buses leave at the same time from two
terminals 792 kms apart and meet in 9 hours.
One bus travels 8 kph faster than the other.
How far did each bus travel?
–A car leaves town going south at 50 mph. One
hour later another car leaves on the same road
travelling at 60 mph. How far from town will the
second car overtake the first?

8. •MEASUREMENT PROBLEM
–A rectangle is 5 meters longer than its width. If
the length is shortened by two meters and the
width is increased by one meter, the area will be
the same. Find the length and the width.
–The length of a rectangle is 13 inches greater
than its width. Its perimeter is 8 ft. Find its
dimensions.
PROBLEMS INVOLVING
SIMPLE LINEAR EQUATIONS