Steply

A number plus 8 is 21. Find the number.

Step by step, with the reason for every step · Word problems part 1 · Algebra 1

Step by step

The question

Question: A number plus 8 is 21.

Find the number.

1 Find what we know

What do we know?

A number plus 8 is 21.

What do we want?

The number.

2 Name the unknown

We don't know the number.

So we call it x.

x = the number

3 Write the equation

Change the words to math, one part at a time.

x + 8 = 21

So the equation is x + 8 = 21.

Now we solve it.

x + 8 = 21

4 Remove the + 8

We want x by itself.

The + 8 is in the way.

To remove + 8, we take away 8.

We do it on both sides, so they stay equal.

x + 8 − 8 = 21 − 8

+ 8 and − 8 make zero.

Cross them out.

21 − 8 = 13.

21 − 8 = 13

So x = 13!

x = 13

5 Answer the question

The number is 13.

6 Check

Let's check in the story.

Put 13 in the story: 13 plus 8.

13 plus 8

It makes 21, like the story says.

So the answer is right!

13 + 8 = 21

Let's look back.

First: find what we know.

Then: name the unknown.

Then: write the equation.

Then: solve it.

Then: answer the question.

Last: check.

Answer
x = 13

Your turn

Try this one yourself, then check:

Show the answer
15

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