How many days are there in x weeks and x extra days, expressed in terms of x?

Introduction / Context:
This is a simple algebraic question combining basic knowledge of time measurement with expressions in terms of a variable x. The phrase “x weeks x days” means we have x full weeks plus x individual days.

Given Data / Assumptions:
• 1 week = 7 days.• We have x weeks and x extra days.• x is some positive integer or variable representing the number of weeks and days.

Concept / Approach:
We convert weeks into days and then add the extra days. Each week contributes 7 days, so x weeks contribute 7x days. Then we have an additional x days, giving a total in terms of x.

Step-by-Step Solution:
Step 1: Days in x weeks = 7 × x = 7x days.Step 2: Extra days given = x days.Step 3: Total days = days from weeks + extra days = 7x + x.Step 4: Combine like terms: 7x + x = 8x.Step 5: Therefore, the total number of days is 8x.

Verification / Example check:
Take x = 2. Then we have 2 weeks and 2 days. That is (2 × 7) + 2 = 14 + 2 = 16 days. Plugging into 8x gives 8 × 2 = 16 days, which matches, confirming the expression.

Why Other Options Are Wrong:
7x + x: This is an unsimplified form; although algebraically equal to 8x, the intended simplified answer is 8x.14x: This would correspond to 2x weeks, not x weeks and x days.7: This ignores the variable x entirely and is only the number of days in one week.

Common Pitfalls:
Some learners confuse weeks and days or forget to multiply x weeks by 7. Others may stop at 7x + x and not combine like terms. Remember to both convert units correctly and simplify algebraic expressions.

Final Answer:
The total number of days is 8x.