Steply

Simplify 5m - m

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

Step by step

The question

Question: simplify 5m − m.

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

5m − m

1 Group like terms

Terms are the parts between the + and − signs.

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

All the m terms go together.

Each colour is one kind.

like terms = same letters,
same powers

5m − m is 4m.

It is like 5 apples take away 1 apple: that is 4 apples.

5m − m = 4m

So the expression is 4m.

= 4m

2 Check

Let's check.

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

We put it into the start.

Start: 5 × 2 − 2 = 10 − 2 = 8

Now into our answer.

Answer: 4 × 2 = 8

Both give 8.

Same value, so 4m is right!

Both give 8

Let's look back.

First: group like terms.

Last: check.

Answer
= 4m

Your turn

Try this one yourself, then check:

Simplify 3m − m
Show the answer
2m

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