First, we need to translate the word problem into equation(s) with variables. Then, we need to solve the equation(s) to find the solution(s) to the word problems.
We need to recognize some common types of algebra word problems and how to solve them:
Age Problems usually compare the ages of people.
They may involve a single person, comparing his/her age in the past, present or future.
They may also compare the ages involving more than one person.
Average Problems involve the computations for arithmetic mean or weighted average of different quantities.
Another common type of average problems is the average speed computation.
Coin Problems deal with items with denominated values.
Similar word problems are Stamp Problems and Ticket Problems.
Consecutive Integer Problems deal with consecutive numbers.
The number sequences may be Even or Odd, or some other simple number sequences.
Digit Problems involve the relationship and manipulation of digits in numbers.
Distance Problems involve the distance an object travels at a rate over a period of time.
We can have objects that Travel at Different Rates, objects that Travel in Different Directions or we may need to find the distance Given the Total Time
Fraction Problems involve fractions or parts of a whole.
Geometry Word Problems deal with geometric figures and angles described in words.
This include geometry word problems Involving Perimeters, Involving Areas and Involving Angles
Integer Problems involve numerical representations of word problems.
The integer word problems may Involve 2 Unknowns or may Involve More Than 2 Unknowns
Interest Problems involve calculations of simple interest.
deal with the lever principle described in word problems.
Lever problem may involve 2 Objects or More than 2 Objects
Mixture Problems involve items or quantities of different values that are mixed together. This involve Adding to a Solution, Removing from a Solution, Replacing a Solution,or Mixing Items of Different Values
Motion Word Problems are word problems that uses the distance, rate and time formula.
|Simplifying the equation||Isolate the variable (Transposition)|
|Addition Method (Opposite-Coefficient Method)||Substitution Method|
|Factoring Quadratic Equations||Quadratic Formula|