Use a Problem Solving Strategy: example 9.4

The difference of a number and six is $13 .$ 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 difference of a number and eight is $17 .$ Find the number.

How did it go?

Step 1. Read the problem. Do you understand all the words?
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 as one sentence. Translate into an equation.
Step 5. Solve the equation. Add 6 to both sides. Simplify.
Step 6. Check: The difference of 19 and 6 is 13. It checks.
Step 7. Answer the question.	The number is 19.

Step 1. Read the problem. Do you understand all the words?
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 as one sentence. Translate into an equation.
Step 5. Solve the equation. Add 6 to both sides. Simplify.
Step 6. Check: The difference of 19 and 6 is 13. It checks.
Step 7. Answer the question.	The number is 19.