8/27 DOL

Julianna has a new job and earns a salary of $45,000. Victor has a new job and earns a salary of $54,000. Julianna will receive a salary increase of $2,500 per year, and Victor will receive a salary increase of $1,500 per year.

Which equation can be used to find x, the number of years it will take Julianna to earn the same salary as Victor?

• 45,000x + 2,500x = 54,000x + 1,500x

• 45,000x + 2,500 = 54,000x + 1,500

• 45,000 + 2,500x = 54,000 + 1,500x

• 45,000x + 2,500x = 54,000x + 1,500

Hailey had $330 in her savings account when Darius opened a savings account with zero dollars.

• - Hailey deposited $30 into her account each week for x weeks.

• - Darius deposited $50 into his account each week for x weeks.

• - The accounts did not earn interest.

Which inequality represents this situation when the amount of money in Hailey’s account was greater than the amount of money in Darius’s account?

• 30x < 330 + 50x

• 50x > 330 + 30x

• 30x > 330 + 50x

• 50x < 330 + 30x

Which situation can be represented by this equation?

340 + 5x = 650 – 8x

• Sierra has a bucket that originally contained 340 fluid ounces of water and is being filled at a rate of 5 fluid ounces per minute. Brian has a bucket that originally contained 650 fluid ounces of water and is being drained at a rate of 8 fluid ounces per minute. What is x, the number of minutes that need to pass in order for the two buckets to contain the same amount of water?

• Sierra started with a savings of $340 and spends $8 of her savings every week. Brian started with a savings of $650 and adds $5 to his savings every week. What is x, the number of weeks that need to pass in order for Sierra and Brian to have the same amount of savings?

• Sierra started with 340 cans of food for a food drive. She collects 5 more cans every day. Brian started with 640 of food for the food drive. He collects 8 more cans every day. What is x, the number of days that need to pass in order for Sierra and Brian to have the same number of cans of food?

Sudsy Carpet Cleaning charges $41.50 per hour to rent a carpet shampoo machine. EZ Clean

charges a $26 deposit plus $35 per hour for their carpet shampoo machine.

41.5x ≥ 35x + 26

Select the statement that correctly represents the inequality.

• Sudsy Carpet Cleaning is the same as the cost at EZ Clean

• Sudsy Carpet Cleaning is greater than or equal to the same cost at EZ Clean

• Sudsy Carpet Cleaning is less than the cost at EZ Clean

• Sudsy Carpet Cleaning greater than the cost at EZ Clean