It looks like you have a worksheet with some practice problems involving equations and inequalities. Let's go through the questions based on the image.

3.1 Decide which equation represents each story:

• Story A: The freshman class is 10% smaller than last year, but 20 more students join in the first week.
• Story B: A store reduces the price of a computer by $200. Then, during a 10% off sale, a customer pays $830.

For Story A, the equation is likely: $0.9x + 20 = 830$ This represents the number of students in the freshman class after it is reduced by 10% (represented by 0.9x) and then 20 more students join.

For Story B, the equation is likely: $0.9(x - 200) = 830$ This represents the price of the computer after it is reduced by $200 and then a 10% discount is applied to the new price, resulting in the customer paying $830.

3.2 Explain why one equation has parentheses and the other doesn’t:

• The equation in Story B has parentheses because the $200 reduction occurs before the 10% discount is applied.
• The equation in Story A does not require parentheses because the 10% reduction is applied directly to the variable, followed by the addition of 20 students.

3.3 Solve each equation:

1. For Story A: $0.9x + 20 = 830$ Solve for $x$: $0.9x = 830 - 20 = 810$ $x = \frac{810}{0.9} = 900$ So, last year’s class had 900 students.

2. For Story B: $0.9(x - 200) = 830$ Solve for $x$: $x - 200 = \frac{830}{0.9} \approx 922.22$ $x \approx 922.22 + 200 = 1122.22$ The original price of the computer was approximately $1122.22.

Would you like more details or assistance with any specific part of the problem? Feel free to ask!

Here are some related questions for you to consider:

1. How would the equations change if the percentage reduction was different (e.g., 15% instead of 10%)?
2. What would happen if the additional 20 students in Story A didn't join in?
3. How would you solve the equations if we had to round to the nearest whole number for practical purposes?
4. What might be the impact of a different discount in Story B, such as a 20% discount instead of 10%?
5. How can you check the accuracy of your solution for Story B if you had the original price?

Tip: Always double-check that the equation is set up correctly before solving—mistakes in the setup can lead to incorrect solutions!