### Simplifying Expressions - Adding Like Terms

#### Lesson Objective

In this lesson, we will learn the basics behind simplifying expressions. We will start by learning how to add 'like terms' in an expression.

#### About This Lesson

This lesson shows you the basic concepts that you should know when adding 'like terms'. Several examples are shown as well to help you to understand this better.

### Study Tips

#### Tip #1

Arrange the 'like terms' together before adding them up. This minimizes mistake.

#### Tip #2

Double check that all 'like terms' are added up. The algebraic expression is considered simplified only when there is no more 'like terms' in it.

Now, watch the following math video to learn more.

### Math Video

#### Click play to watch video

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00:00:02.120

You can add like terms together to simplify an expression.

00:00:07.000

This lesson shows you how.

00:00:10.130

Now, let's learn the basic understanding in simplifying expression. Take these like terms, 3 x -2 x, as an example.

00:00:20.210

First, let's focus on 3x. You can see that 3x is equals to x + x + x.

00:00:35.150

Now, as for -2x, -2x is equals to -x -x.

00:00:46.010

When you add 3x and -2x together, notice that x and -x here cancel off.

00:00:54.070

Same goes for +x and -x here.

00:01:01.110

Notice that after adding these terms, you're left with one x.

00:01:06.140

Now that you understand the basic behind adding like terms. Let's take a faster way of doing this.

00:01:13.130

Just take 3 from 3x, minus 2 from 2x. Immediately, you get the 1 and the answer is 1x.

00:01:24.060

Also, one thing you should take note. It's better to write 1x as x.

00:01:32.230

Let's look at another example. Now let's simplify 7u + q -5u + 4q.

00:01:40.130

First, arrange the like terms together like this.

00:01:49.020

After arranging, you have 7u -5u and +q + 4q.

00:01:57.190

Now add the like terms q and + 4q. This gives 5q.

00:02:05.110

Add the like terms 7u and -5u. This gives 2u.

00:02:12.060

As there is no more like terms, This is the simplest expression you can get. So the answer is 2u + 5q.

00:02:18.240

So the answer is 2u +5q.

00:02:25.100

Let's take another example, 7 u + 3 v square -2 u + 5 v square.

00:02:32.220

First, arrange the like terms together like this.

00:02:42.150

After arranging, you have 7u, -2u and + 3v square + 5v square.

00:02:52.040

Now add the like terms + 3v square + 5v square . This gives 8v square.

00:03:00.080

Add the like terms 7u and -2u. This gives 5u.

00:03:06.240

As there is no more like terms, This is the simplest expression you can get. So the answer is 5u +8 v square.

00:03:19.050

That's all for this lesson. Try out the practice questions to test your understanding.

### Practice Questions & More

#### Multiple Choice Questions (MCQ)

Now, let's try some MCQ questions to understand this lesson better.

You can start by going through the series of questions on simplifying expressions - adding *like terms* or pick your choice of question below.

- Question 1 on simplifying expression
- Question 2 on simplifying expression

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