Solving Word Problems in Algebra
Writing Standard Form Equations

We've studied word problems that allow for you to write an equation in slope intercept form. How do we know when a problem should be solved using an equation written in standard form?

As you are reading and analyzing the word problem, if you find that you can set up an addition problem, and you have a set total (constant), then you will be able to write an equation in standard form.

Let's look at a couple of examples!

Example 1

Let's look at one more example.

Example 2

I know it's hard to imagine when you will need to use this skill, or even how to solve problems written in this form! You will be writing these equations and solving them when you get to the Systems of Equations Unit. So, stick with me - it will all come together and make sense!

Your turn to try writing a standard form equation!

Practice Problem

John is an insurance salesman who works on commission. Each time he gets a new client who purchases car insurance, he earns $100 in commission. Each time he gets a client who purchases homeowners insurance, he earns $50 in commission. Let x represent the number of clients who purchase car insurance and let y represent the number of clients who purchase homeowners insurance. Write an equation that you could use to find out how many clients, for each type of insurance, John would need to earn $3000 in commission.

Answer Key

Great Job! Now you are ready to move onto the next lesson!