If 
where a, b, c, and d are real numbers and bd is not zero, then:
- a must be negative
- a must be positive
- a must not be zero
- a can be negative or zero but not positive
- a can be positive, negative, or zero
Set 01
xy = yx
Find two whole numbers x and y so that x and y are different but xy = yx.
Formula for Oranges
Write a formula for the cost of x oranges if y oranges cost d dollars.
Sibyl Dibble
Sibyl Dibble works at Allen Memorial Hospital. She is paid by the hour. She gets time-and-a-half for any hours she puts in over 40 hours per week. During her first week on the job she worked 35 hours. During the second week she worked 46 hours. She made $112 more the second week than she made during the first week. What does Sibyl get paid per hour?
Mike, Ron, Debra, and Susie
Mike, Ron, Debra, and Susie divided a $47 refund so that Mike and Ron together got $27, Mike and Debra got $25, and Mike and Susie got $23. How much did Debra get?
Shelley, Veronica, Christy, and Ruth
Divide $106 among Shelley, Veronica, Christy, and Ruth so that Shelley and Veronica together have $56, Shelley and Christy together have $59, and Shelley and Ruth together have $43.
Totem Pole
One-fifth (1/5) of a totem pole is tapered at the top. One-sixth (1/6) of the pole is buried in the ground. The remaining 3.8 meters are ornately carved. How high is the top of the totem pole above the ground?
Pamela Gore
Pamela Gore lived 1/2 of her life in Oklahoma, 1/5 in Alaska, and 2/9 in Idaho. She then moved to Miami and died 7 years later. How long did Pamela live?
Repeating Digits in Addition
- 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = ?
- 11 + 22 + 33 + 44 + 55 + 66 + 77 + 88 + 99 = ?
- 111 + 222 + 333 + 444 + 555 + 666 + 777 + 888 + 999 = ?
- What is going on here? Does this pattern work for 4-digit addends, 5-digit addends, and so on?
