# Solving Algebra Word Problems

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More Lessons for Intermediate Algebra
More Lessons for Algebra
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A series of free, online Intermediate Algebra Lessons or Algebra II lessons.

Videos, worksheets, and activities to help Algebra students.

In this lesson, we will learn

- how to solve investment word problems
- how to solve tax word problems
- how to solve distance, time, rate word problems
- how to solve collection word problems or coin word problems
- how to solve consecutive numbers word problems

## Applied Linear Equations:
Investment Math Problems

In Algebra II and in the real world, sometimes we need to solve investment math problems by using linear equations. When solving word problems using linear equations, we first need to pull out the relevant information and put it into equation form. When working with investment math problems, we are usually asked to calculate amounts earned by interest on original principal amounts.

If you deposit money into two different accounts and earn so much from each one given a certain interest rate, how much did you deposit in each account?

## Applied Linear Equations:
Tax Math Problems

In Algebra II and in the real world, sometimes we need to solve tax math problems by using linear equations. When solving word problems using linear equations, we first need to pull out the relevant information and put it into equation form. When working with tax math problems, we are usually asked to calculate sales tax rates or the total cost of an item with tax.

How to solve a word problem about finding the tax on a purchase.

## Applied Linear Equations: Distance, Time,
Rate Word Problems

To solve rate word problems, knowledge of solving systems of equations is necessary. Rate word problems include problems dealing with rates, distances, time and wind or water current. Other types of word problems using systems of equations include money word problems and age word problems

How to find the speed of transit when the time of two different legs is known.

## Linear Equation: Collection Problems

In Algebra II and in the real world, sometimes we need to solve collection math problems by using linear equations. When solving word problems using linear equations, we first need to pull out the relevant information and put it into equation form. When solving linear equation collection problems, we are usually asked about numbers of certain types of coins. These types of problems are sometimes called coin word problems.

How to solve a word problem about how many dimes and quarters it takes to make a certain denomination.

## Consecutive Number Word Problems

In Algebra II, we sometimes see consecutive number problems. Consecutive number problems may ask us to find a sum of integers or the specific integers themselves. To solve these problems, we set up a linear equation or a system of linear equations and then solve for a variable. These types of problems are often found on the SAT and ACT.

Word Problem: Finding Consecutive Numbers That Satisfy a Given Requirement - Ex

Word Problem: Finding Consecutive Numbers That Satisfy a Given Requirement - Ex 2

Word Problem: Finding Consecutive Numbers That Satisfy a Given Requirement - Ex 3

You can use the Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem. Then click "Answer" to check your answer.