Question

Multi-Step Equations• Create a word problem with a constant, a coefficient, a variable &a final amount• Write the equation, then solve for the variable

Answer 1

We need to create a word problem with a constant, a coefficient, a variable, and a final amount. Then, we need to solve it.

One example of a word problem is:

John received an initial payment of 10 dollars for a job and an extra 2 dollars for each hour he worked. If John received a total of 16 dollars, how many hours did he work?

Solving the problem:

Let's call x the number of hours Jhon worked. Then, the total extra he received was:

$x\cdot2=2x$

Since he also received an initial payment of 10 dollars, the total amount of dollars he received is given by the expression:

$10+2x$

Now, we know he received 16 dollars. So, we have:

$10+2x=16$

Notice that 10 is a constant, 2 is a coefficient, x is a variable, and 16 is the final amount.

Then, we need to apply operations on both sides of the equation until we isolate the variable x on the left side and find its value.

We obtain:

$\begin{gathered} 10+2x-10=16-10 \\ \\ 2x=6 \\ \\ \frac{2}{2}x=\frac{6}{2} \\ \\ x=3 \end{gathered}$

Answers

Word problem:

John received an initial payment of 10 dollars for a job and an extra 2 dollars for each hour he worked. If John received a total of 16 dollars, how many hours did he work?

Solution: 3 hours