Math Problem Solving Quiz

Maggie has a $50 gift card that she will use to purchase games for her phone. Each game costs $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

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

• An office manager paid $675.95 to build a web site. 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 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?

The perimeter of the triangle shown is 17x units. The dimensions of the triangle are given in units. Which equation can be used to find the value of x?

• 17x = 30 + 7x

• 17x = 15 + 22x

• 17x = 7 + 30x

• 17x = 22 + 15x

Jerry has a new job and earns a salary of $45,000. Victoria has a new job and earns a salary of $54,000. Jerry will receive a salary increase of $2,500 per year, and Victoria 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 Jerry to earn the same salary as Victoria?

• 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

Two eighth-grade classes are selling raffle tickets to raise money. - One class is selling tickets for $2.50 each and has already raised $350. - The other class is selling tickets for $3.00 each and has already raised $225. Which equation can be used to find t, the number of tickets each class needs to sell so that the total amount raised is the same for both classes?

• A 3t + 350 = 2.50t + 225

• B 350t + 2.50 = 225t + 3

• C 2.50t + 350 = 3t + 225

• D Not here

Which situation can be represented by this equation? 18x = 19 + 12x

• F Krystal reads 12 pages per hour. Jondo reads 18 pages per hour. How many hours, x, would it take for Krystal and Jondo to read the same number of pages?

• G Krystal paid a deposit of $19 plus $18 per hour to rent a dining room at a restaurant. Jondo paid $12 per hour to rent a dining room at a restaurant. How many hours, x, would it take for Krystal and Jondo to pay the same amount of money?

• H Krystal installs 12 tiles per hour. Jondo installs 19 tiles per hour and started with 18 tiles already installed. How many hours, x, would it take for Krystal and Jondo to install the same number of tiles?

• J Krystal can make $18 per hour by tutoring. Jondo can make $12 per hour by tutoring. Jondo already has $19. How many hours, x, would Krystal and Jondo need to tutor for them to have the same amount of money?

Which situation can be represented by this equation? 7x + 1 = 10x

• Brody ran at a constant rate of 7 miles per hour in a race. Candice ran at a constant rate of 10 miles per hour in a race and started 1 mile in front of the starting point. What is x, the number of hours that Brody and Candice would have to run in order for their distance to be the same?

• Brody played a game where he scored 8 points per hour. Candice played the game and scored 10 points per hour. What is x, the number of hours that Brody and Candice would each have to play the game in order for their scores to be the same?

• Brody went to two different amusement parks. The first park charged $7 per hour and gave a 1% discount for showing a student ID. The other park charged $10 per hour. What is x, the number of hours that Brody would have to stay at each park to have to pay the same amount?

• Brody rode his bicycle on two different days. The first day he rode 7 miles per hour and started 1 mile from his house. The second day he started from his house and rode 10 miles per hour. What is x, the number of hours that Brody would have to ride his bicycle to travel the same distance on both days?

Which situation can be represented by this equation? 340 + 5x = 650 - 8x

• Sierra has a bucket that originally contained 340 fl oz of water and is being filled at a rate of 5 fl oz per minute. Brian has a bucket that originally contained 650 fl oz of water and is being drained at a rate of 8 fl oz 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 savings of $340 and spends $8 of her savings every week. Brian started with 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 650 cans 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?

• Sierra earns 345 points on each level of a video game. Brian earns 642 points on each level of the same video game. What is x, the number of levels that Sierra and Brian would have to play in order for them to have an equal number of points?

Solve for x:

5x + 4 = 14

• 10

• 4

• 5

• 2