Use a Problem Solving Strategy: example 9.5

The sum of twice a number and seven is $15 .$ Find the number.

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

The sum of four times a number and two is $14 .$ Find the number.

How did it go?

Step 1. Read the problem.
Step 2. Identify what you are looking for.	the number
Step 3. Name. Choose a variable to represent the number.	Let $n = the number$
Step 4. Translate. Restate the problem as one sentence. Translate into an equation.
Step 5. Solve the equation.
Subtract 7 from each side and simplify.
Divide each side by 2 and simplify.
Step 6. Check: is the sum of twice 4 and 7 equal to 15?
Step 7. Answer the question.	The number is 4.