Question

Write your own word problem and share it with the group. Then translate your problem into its resulting math equation. What steps would you then follow to solve for the variable?

Answer 1

Step-by-step explanation:

Word Problems are mathematical problems presented in complete languages, rather than in mathematical notations.

Example:

A certain number is divided by half, the result is added to itself to give 6, what is the number?

Solution:

- Let the number be x

- Divide x by half:

In word problem, extra caution is to be taken, as misinterpretation can be very chaotic. Dividing a number by 2, is totally different from dividing the number by half.

4 divided by 2 is 4÷2 = 2

4 divided by half is 4÷½ = 4×2/1 = 8

2 and 8 are different, reason to be cautious.

So dividing x by half, we have:

x ÷ 1/2 = x × 2/1 = 2x.

- Now, what we have is

2x + x = 6

Solving this equation, we can obtain the value of x.

2x + x = 6

3x = 6

Dividing both sides by 3

3x/3 = 6/3

x = 2.

Therefore, the solution to the word problem is x = 2.