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Questions in Grade Middle-school

📝 Answered - Roberto wants to reduce a drawing that is 12 inches long by 9 inches wide. If his new drawing is 8 inches long, how wide will it be?

📝 Answered - Steve set up a business making friendship bracelets. He earned $70 in January. He is projected to earn 120% more in February. How much is Steve projected to make in February?

📝 Answered - A bank put $10 into a savings account when you opened the account. Eight weeks later, you have a total of $24. Assume you saved the same amount each week. If the total amount of money in the savings account is represented by \( y \) and \( x \) represents the number of weeks, write an equation in the form \( y = mx + b \) that describes the situation. Show all work!

📝 Answered - Four sweets cost 28p altogether. How much do seven sweets cost?

📝 Answered - You want to rent a limousine for a trip to the city. The limo costs $700 for the night and $0.15 per mile. You have $750 to spend. Write an inequality that represents this scenario. How many miles can the limo travel?

📝 Answered - Sam deposits $1,000 into an account that pays 6% simple interest annually. He plans to take the money out after 3.5 years. What will the balance in his account be after 3.5 years?

📝 Answered - Jenn buys a pair of jeans for $24.99. Her friend Karen spends $3.50 more for the same pair of jeans. Vicki paid the same price as Karen for the jeans but bought 2 pairs. How much did Vicki spend?

📝 Answered - Four more than two-thirds of a number is 22. Find the number.

📝 Answered - A group of friends is on a road trip. So far, they have driven 120 miles. They continue their trip and drive at a constant rate of 50 miles per hour. Let [tex]y[/tex] represent the total distance traveled in [tex]x[/tex] hours. Write an equation to represent the total number of miles driven in [tex]x[/tex] hours. Make sure to include the slope and y-intercept.

📝 Answered - Nicole just finished a 5-mile walkathon that took her 1.4 hours. Assume she walks at a constant rate. Let [tex]y[/tex] represent the distance Nicole walks in [tex]x[/tex] hours. Describe Nicole's walking at a constant rate as a linear equation. **Explanation:** 1. Calculate Nicole's walking rate (speed): \[ \text{Rate} = \frac{\text{Distance}}{\text{Time}} = \frac{5 \text{ miles}}{1.4 \text{ hours}} \approx 3.57 \text{ miles per hour} \] 2. The linear equation representing her walking at a constant rate is: \[ y = 3.57x \] Here, [tex]y[/tex] is the distance walked, [tex]x[/tex] is the time in hours, and 3.57 is her walking speed in miles per hour.