ALGEBRA PROBLEM


1. Lorri took a 240 km trip to Waterloo. On her way there, her average speed was 120 km/h. She was stopped for speeding, so on her way home her average speed was 80 km/h. What was her average speed, in km/h, for the entire round-trip?

2. The number of faces (F), vertices (V ) and edges (E) of a polyhedron are related by the equation F + V - E = 2. If a polyhedron has 6 faces and 8 vertices, how many edges does it have?

3. A temperature measured in degrees Celsius (C) can be converted to degrees Fahrenheit (F) using the formula F = 9/5C + 32. If the temperature is 10 degrees Celsius, what is the temperature in degrees Fahrenheit?

4. If the mean (average) of five consecutive integers is 21, what is the smallest of the five integers?

5. The values of r, s, t and u are 2, 3, 4 and 5, but not necessarily in that order. What is the largest possible value of r x s + u x r + t x r?

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