**Related Pages**

Basic Algebra

Combining Like Terms

Solving Equations

More Algebra Lessons

### Step 1: Translate the problem into equations with variables

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 theword problems.

Translating words to equations

**How to recognize some common types of algebra word problems and how to solve them step by step.**

The following shows how to approach the common types of algebra word problems.

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 forarithmetic mean orweighted 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 andTicket Problems.

Consecutive Integer Problems deal with consecutive numbers.

The number sequences may be Even orOdd, 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 thatTravel in Different Directions or we may need to find the distanceGiven 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 andInvolving Angles

Integer Problems involve numerical representations of word problems.

The integer word problems may Involve 2 Unknowns or mayInvolve More Than 2 Unknowns

Interest Problems involve calculations of simple interest.

Lever Problems 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 aremixed together. This involveAdding 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.

Number Sequence Problems use number sequences in the construction of word problems.You may be asked to find theValue of a Particular Term or the Pattern of a Sequence

Proportion Problems involve proportional and inversely proportional relationships of various quantities.

Ratio Problems require you to relate quantities of different items in certainknown ratios, or work out the ratios given certain quantities.This could be Two-Term Ratios orThree-Term Ratios

Symbol Problems

Variation Word Problems may consist of Direct Variation Problems,Inverse Variation Problems or Joint Variation Problems

Work Problems involve different people doing work together at different rates.

This may be for Two Persons,More Than Two Persons orPipes Filling up a Tank

For more Algebra Word Problems and Algebra techniques, go to ourAlgebra page

### Step 2: Solving the equations - finding the values of the variables for the equations

- How to solve equations?
Simplifying the equation

Isolate the variable (Transposition)

Addition Method (Opposite-Coefficient Method)Substitution Method

Factoring Quadratic Equations

Quadratic Formula

### Algebra Word Problems with examples, videos and step-by-step solutions

- Age Word Problems
Age Problems

Age Problems: Single Person

More Than One Person

Age Word Problems 1

Age Word Problems 2 - Average Word Problems
Arithmetic Mean

Weighted Average

Average Speed - Coin Word Problems
Problems involving Coins

Stamp Problems

Ticket Problems

Coin Word Problems 1

Coin Word Problems 2 - Consecutive Integer Word Problems
Consecutive Integers 1

Consecutive Integers 2

Consecutive Odd Integer

Consecutive Even Integer

Consecutive Integer Problems - Digit Word Problems
Simple Digit Problems

Digits Word Problems - Distance Word Problems
Distance Problems

Travel at Different Rates

Travel in Different Directions

Given Total Time Fraction Problems

Percent Word Problems- Geometry Word Problems
Geometry Word Problems

Involving Perimeters

Involving AreasInvolving Angles

Angle Word Problems

Perimeter Word Problems 1

Perimeter Word Problems 2

Perimeter Word Problems 3Area Word Problems

Area of Rectangle Word Problems

Area of Triangle Word Problems

Area of Parallelogram Word ProblemsVolume Word Problems

Volume Word ProblemsGeometry Word Problems using Quadratic Equations

Pythagorean Theorem Word Problems

Trigonometry Word Problems - Integer Word Problems
Involving 2 Unknowns

More Than 2 Unknowns

Integer Word Problems 1

Integer Word Problems 2 - Interest Word Problems
Interest Word Problems

Simple Interest Word Problems

Compound Interest Word Problems 1

Compound Interest Word Problems 2

Investment Word Problems - Lever Word Problems
Involving 2 or More Objects

- Mixture Word Problems
Mixture Problems

Adding to a Solution

Remove from a Solution

Replace a Solution

Mix Items of Different Values

Algebra Mixture Problems 1

Algebra Mixture Problems 2

Algebra Mixture Problems 3 Money Word Problems

Rate, Time, Distance Problems 1

Rate, Time, Distance Problems 2

Rate, Time, Distance Problems 3

Motion Word Problems- Number Sequence Word Problems
Number Sequence Problems

Value of a Particular Term

Pattern of a Sequence - Proportion Word Problems
Proportion Problems

Directly Proportional

Inversely Proportional

Proportion Word Problems - Word Problems using Quadratic Equations
Quadratic Word Problems

Quadratic Equations Word Problems

Quadratic Problems in Geometry

Projectile Motion - Ratio Word Problems
Ratio Problems

Two-Term Ratios

Three-Term Ratios

Ratio Word Problems - Symbol Word Problems
Symbol Problems

- Variation Word Problems
Direct Variation Problems

Inverse Variation Problems

Variation Word Problems - Work Word Problems
Work Problems

Two Persons

More Than Two Persons

Pipes Filling up a Tank

Algebra Work Problems 1

Algebra Work Problems 2 - Ways to solve Word Problems
One Variable Word Problems

Two-Variable Word Problems

System of Equations Word Problems

**Have a look at the following videos for some introduction of how to solve algebra problems:**

**Example:**

Angela sold eight more new cars this year than Carmen. If together they sold a total of 88 cars, how many cars did each of them sell?

- Show Video Lesson

**Example:**

One number is 4 times as large as another. Their sum is 45. Find the numbers.

- Show Video Lesson

**Example:**

Devon is going to make 3 shelves for her father. She has a piece of lumber 12 feet long. She wantsthe top shelf to be half a foot shorter than the middle, and the bottom shelf to be half a footshorter than twice the length of the top shelf. How long will each shelf be if she uses the entire 12 feet of wood?

- Show Video Lesson

Try the free Mathway calculator andproblem solver below to practice various math topics. Try the given examples, or type in your ownproblem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.