Translate a situation into an equation — study worksheet

1. Read the core idea

Identify the unknown before choosing an operation. A fixed charge is added once, while a per-item or per-hour charge is multiplied by a quantity. Mark words that describe the relationship, but let the situation decide the operation: more does not always mean add. Write units beside the numbers, estimate a sensible range, and solve in a short sequence.

2. Trace the worked example

A rental costs $18 plus $7 per hour. For 4 hours, the cost is 18 + 7 × 4 = $46. The fixed fee is not multiplied by 4.

Write the steps or relationships that explain the result:

3. Use the method

Write the unknown, a relationship in words, an equation, and the unit of the answer.

Summarize the method in your own words, with a diagram or labeled units where useful:

4. Record a mistake to avoid

Do not add every number simply because it appears in the problem.

Describe how you will recognize and correct this mistake:

5. Review after practice

Use the mixed practice check linked in the hub. Record the skill you need to revisit and your next study step.