Steply

Simplify 4a + 3 + 2a

Step by step, with the reason for every step · Simplify expressions · Algebra 1

Step by step

The question

Question: simplify 4a + 3 + 2a.

Simplify means: write it shorter, with the same value.

4a + 3 + 2a

1 Group like terms

Terms are the parts between the + and − signs.

Like terms are the same kind: same letters, same powers.

All the a terms go together.

Each colour is one kind.

like terms = same letters,
same powers

We move like terms next to each other.

Each term takes its sign with it.

= 4a + 2a + 3

4a + 2a is 6a.

It is like 4 apples plus 2 apples: that is 6 apples.

4a + 2a = 6a

So the expression is 6a + 3.

= 6a + 3

2 Check

Let's check.

We pick a number for each letter: a = 2.

We put it into the start.

Start: 4 × 2 + 3 + 2 × 2 = 8 + 3 + 4 = 15

Now into our answer.

Answer: 6 × 2 + 3 = 12 + 3 = 15

Both give 15.

Same value, so 6a + 3 is right!

Both give 15

Let's look back.

First: group like terms.

Last: check.

Answer
= 6a + 3

Your turn

Try this one yourself, then check:

Simplify 9a + 8 + 3a
Show the answer
12a + 8

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