WebMath - Solve Your Math Problem

 

how to solve algebra word problems step by step

Free math problem solver answers your algebra homework questions with step-by-step explanations. Mathway. Visit Mathway on the web. Download free on Google Play. Download free on iTunes. You will be able to enter math problems once our session is over. Word problems in algebra. If you were able to solve this problem, you should also be able to solve algebra word problems. Yes, they involve more complicated math, but they use the same basic problem-solving skills as simpler word problems. You can tackle any word problem by following these five steps. Solving Algebra word problems is useful in helping you to solve earthly problems. While the 5 steps of Algebra problem solving are listed below, this article will focus on the first step, Identify the problem.


Mathway | Algebra Problem Solver


A word problem is a math problem written out as a short story or scenario. Basically, it describes a realistic problem and asks you to imagine how you would solve it using math. If you've ever taken a math class, you've probably solved a word problem. For instance, does this sound familiar? Johnny has 12 apples. If he gives four to Susie, how many will he have left?

You could solve this problem by looking at the numbers and figuring out what the problem is asking you to do. In this case, you're supposed to find out how many apples Johnny has left at the end of the problem. By reading the problem, you know Johnny starts out with 12 apples. By the end, he has 4 less because he gave them away.

You could write this as:. If you were able to solve this problem, you should also be able to solve algebra word problems. Yes, they involve more complicated math, how to solve algebra word problems step by step, but they use the same basic problem-solving skills as simpler word problems. We'll work through an algebra word problem using these steps. Here's a typical problem:. Jada rented a van to drive to her new home. How many miles did she drive? It might seem complicated at first glance, but we already have all of the information we need to solve it.

Let's go through it step by step. Let's take a look at our problem again. What question is the problem asking? In other words, what are you trying to find how to solve algebra word problems step by step There's only one question here. We're trying to find out how many miles Jada drove. Now we need to locate any information that will help us answer this question. There are a few important things we know that will help us figure out the total mileage Jada drove:.

In algebra, you represent unknown numbers with letters called variables. To learn more about variables, see our lesson on reading algebraic expressions. You can use a variable in the place of any amount you don't know.

Looking at our problem, do you see a quantity we should represent with a variable? It's often the number we're trying to find out. Since we're trying to find the total number of miles Jada drove, we'll represent that amount with a variable—at least until we know it. We'll use the variable m for miles. Of course, we could use any variable, but m should be easy to remember. Let's take another look at the problem, with the facts we'll use to solve it highlighted.

We know the total cost of the van, and we know that it includes a fee for the number of days, plus another fee for the number of miles. A simpler way to say this would be:. The how to solve algebra word problems step by step version will be easier to translate into a mathematical expression. Not sure why you'd translate it this way? Check out our lesson on writing algebraic expressions.

Next, we'll add in the numbers and variables we already know. We already know the number of days Jada drove, 2so we can replace that. We've also already said we'll use m to represent the number of miles, so we can replace that too. We should also take the dollar signs off of the money amounts to make them consistent with the other numbers.

This problem will take a few steps to solve. If you're not sure how to do the math in this section, you might want to review our lesson on simplifying expressions. First, let's simplify the expression as much as possible. We can multiply 30 and 2, so let's go ahead and do that. We can also write. Next, we need to do what we can to get the m alone on the left side of the equals sign. Once we do that, we'll know what m is equal to—in other words, it will let us how to solve algebra word problems step by step the number of miles in our word problem.

We can start by getting rid of the 60 on the left side by subtracting it from both sides. The only thing left to get rid of is. Since it's being multiplied with mwe'll do the reverse and divide both sides of the equation with it. In other words, the answer to our problem is —we now know Jada drove miles. To make sure we solved the problem correctly, we should check our work. To do this, we can use the answer we just got— —and calculate backward to find another of the quantities in our problem.

In other words, if our answer for Jada's distance is correct, we should be able to use it to work backward and find another value, like the total cost, how to solve algebra word problems step by step. Let's take another look at the problem. If Jada really did drive miles in 2 days, she could calculate the cost like this:. This means our solution was correct. We're done! While some word problems will be more complicated than others, you can use these basic steps to approach any word problem.

On the next page, you can try it for yourself. Let's practice with a couple more problems. You can solve these problems the same way we solved the first one—just follow the problem-solving steps we covered earlier. For your reference, these steps are:. If you get stuck, you might how to solve algebra word problems step by step to review the problem on page 1. You can also take a look at our lesson on writing algebraic expressions for some tips on translating written words into math.

Try completing this problem on your own. When you're done, move on to the next page to check your answer and see an explanation of the steps. How much does a family pass cost? Here's another problem to do on your own. As with the last problem, you can find the answer and explanation to this one on the next page. Flor and Mo both donated money to the same charity.

Flor gave three times as much as Mo. How much money did Mo give? Let's solve this problem step by step. We'll solve it the same way we solved the problem on page 1. The first in solving any word problem is to find out what question the problem is asking you to solve and identify the information that will help you solve how to solve algebra word problems step by step. Let's look at the problem again.

The question is right there in plain sight:. The unknown number in this problem is the cost of the family pass. We'll represent it with the variable f.

To turn this into a problem we can solve, we'll have to translate it into math. Here's how:. Now all we have to do is solve our problem. Like with any problem, how to solve algebra word problems step by step, we can solve this one by following the order of operations.

That's it! Finally, let's check our work by working backward from our answer. In this case, we should be able to correctly calculate the cost of a single ticket by using the cost we calculated for the family pass.

Let's look at the original problem again. Looking at our original problem, that's correct! Start by asking what question the problem is asking you to solve and identifying the information that will help you solve it.

What's the question here? To solve the problem, you'll have to find out how much money Mo gave to charity. All the important information you need is in the problem:, how to solve algebra word problems step by step. The unknown number we're trying to identify in this problem is Mo's donation. We'll represent it with the variable m.

 

Algebra Topics: Introduction to Word Problems

 

how to solve algebra word problems step by step

 

How to recognize some common types of algebra word problems and how to solve them step by step: 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. WebMath is designed to help you solve your math problems. Composed of forms to fill-in and then returns analysis of a problem and, when possible, provides a step-by-step solution. Covers arithmetic, algebra, geometry, calculus and statistics. Word problems in algebra. If you were able to solve this problem, you should also be able to solve algebra word problems. Yes, they involve more complicated math, but they use the same basic problem-solving skills as simpler word problems. You can tackle any word problem by following these five steps.