Square of a SumPro Problems > Math > Algebra > Equations > Word Problems > Linear
Square of a Sum
The sum of the squares of two positive numbers is 96 less than the square of the sum of the two numbers. If one number is two more than the other, what are the two numbers?
SolutionIn order to make it feasible for teachers to use these problems in their classwork, no solutions are publicly visible, so students cannot simply look up the answers. If you would like to view the solutions to these problems, you must have a Virtual Classroom subscription.
An amusement park has an enormous roller coaster with 48 roller coaster cars, each of which was carrying the same number of people. Six of the cars were removed from the coaster, and each of the remaining cars had to carry one extra person. How many people were there on the roller coaster?
I have a sheet of paper with three integers written on it. If I add them together, I have a sum of 38.
Two of the numbers differ by one. One of the three numbers is 11.
What is the largest possible integer that could be written on the paper?
The sum of a number and five more than that number is 47. What is the number?
Next year, Martha will be three times as old as she was 17 years ago. How old is Martha now?
The height of a building measured in feet is 196 more than its height measured in yards. What is the height of the building in feet?
Nathan started at the bottom of the stairs and climbed n steps. After that he went down n - 4 steps, and was then 15 steps from the top of the stairs. How many steps are there?
I'm thinking of three numbers. The second number is fourteen more than the first number, and the third number is twice the second number. If the first number is subtracted from the third, the result is 44. What is the third number?
If 12 more than a number is added to the number, and three times the number is subtracted, the result is the original number. What is the original number?
The number of seconds until New Years Day (when the ball drops at Midnight) is equal to the number of hours since the last time the ball dropped. Assuming a non-leap-year, what is the current date and time, to the nearest minute?
I have a problem with dry erase markers disappearing from my classroom. A third of my markers were stolen by a student, and then one of my co-workers "borrowed" four markers. After that I realized that half of the remaining markers didn't work, so I threw them away.
In the end, I just had two markers left.
How many did I start with?