Category 2 Day #5

Maggie has a $50 gift card that she will use to purchase games for her phone. Each game cost $1.99. She has a coupon code for $5 off her entire purchase. Which equation can be used to find x, the maximum number of games Maggie can purchase?

• 50 = 1.99 - 5x

• 50 = 1.99 + 5x

• 50 = 1.99x + 5

• 50 = 1.99x - 5

A student rode a bicycle fewer than 30 miles during a period of 5 days. The student rode 8 miles on Monday and m miles each day from Tuesday through Friday. Which inequality represents all possible values of m?

• 8 + 4m < 30

• 8 + 4m > 30

• 8 - 4m > 30

• 8 - 4m < 30

Which number line best represents the solution to the inequality -4x + 29 > 19?

• A

• B

• C

• D

Which number line best represents the solution to the inequality -4x + 29 > 19?

• A

• B

• C

• D

Which situation is best represented by the following equation? 68.50x + 127.95 = 675.95

• An office manager paid $675.95 to build a website. The office manager bought a software package for $68.50 and paid an employee $127.95 for each hour she worked on the website. What is x, the number of hours the employee worked on the website?

• An office manager paid $675.95 for computer equipment. The office manager bought one monitor for $127.95 and hard drives for $68.50 each. What is x, the number of hard drives the office manager bought?

• A sales manager paid $675.95 for advertising. The sales manager paid $127.95 per hour for consulting and received a $68.50 discount. What is x, the number of hours the manager paid for consulting?

• A business owner paid a total of $675.95 for two employees to work the same number of days. The business owner paid one employee $68.50. The business paid a second employee $127.95 per day. What is x, the number of days the employees worked?

Which situation can be represented by this equation? 250 + 65x = 575

• Jeremy is traveling to a location that is 575 miles away. He has already traveled 250 miles. What is x, the number of hours that Jeremy will need to travel at a speed of 65 miles per hour to reach the location?

• Jeremy is traveling to a location that is 575 miles away. He has already traveled 250 miles. What is x, the number of additional miles that Jeremy will need to travel to reach the location?

• Jeremy is reading a book with 575 pages. He has already read 65 pages and will read 250 pages per day. What is x, the number of days that Jeremy will need to read to finish the book?

• Jeremy is reading a book with 575 pages. He has already read 315 pages. What is x, the number of pages Jeremy has left to read to finish the book?

An animal rescue group recorded the number of adoptions that occurred each week for three weeks: - There were x adoptions during the first week. - There were 10 more adoptions during the second week than during the first week. - There were twice as many adoptions during the third week as during the first week. There were a total of at least 50 adoptions from the animal rescue group during the three weeks. Which inequality represents all possible values of x, the number of adoptions from the animal rescue group during the first week?

• 4x + 10 ≤ 50

• 4x + 10 ≥ 50

• 3x + 10 ≤ 50

• 3x + 10 ≥ 50

A principal has given a class $75 to help pay for a field trip to a zoo. The students in the class are selling pies for $5 each to earn the rest of the money they need. The field trip will cost a total of $386. Which inequality can be used to find p, the number of pies the class needs to sell in order to earn enough money to pay for the field trip?

• 5p + 75 ≤ 386

• 5p + 75 ≥ 386

• 75p + 5 ≥ 386

• 75p + 5 ≤ 386

Create a number line that best represents the solution to the inequality shown: 50x - 130 - 100x > 170. Select a ray. Move the point on the ray to the correct place on the number line.

Which situation can be represented by this inequality? 120 ≤ 12k + 29

• Felicia has 12 buttons in her collection. She will collect 29 new buttons every year. Felicia collects buttons for k years. For what values of k will Felicia have at least 120 buttons?

• Felicia has 29 buttons in her collection. She will collect 12 new buttons every year. Felicia collects buttons for k years. For what values of k will Felicia have at least 120 buttons?

• Felicia has 29 buttons in her collection. She will collect 12 new buttons every year. Felicia collects buttons for k years. For what values of k will Felicia have at most 120 buttons?

• Felicia has 12 buttons in her collection. She will collect 29 new buttons every year. Felicia collects buttons for k years. For what values of k will Felicia have at most 120 buttons?