1. For all nonzero values of a and b, which of the following expressions is equivalent to
2. To keep up with rising costs, a carpenter needs to increase his $30.00 per hour rate by 18%. What will be his new hourly rate?
3. Contributions to the school dance fund are made by each of 4 student groups according to the table below.
What is the average dollar amount of the contributions made by the 4 student groups?
4. Bus X travels 40 miles per hour for 2 hours; Bus Y travels 60 miles per hour for hours. What is the difference, in miles, between the number of miles traveled by Bus X and the number of miles traveled by Bus Y?
5. Which of the following is a value of r for which (r + 2)(r - 3) = 0?
6. In the parallelogram PQRS shown below, PS is 7 centimeters long. If the parallelogram's perimeter is 40 centimeters, how many centimeters long is PQ?
7. In the standard (x, y) coordinate plane, if the x-coordinate of each point on a line is 5 more than half the y-coordinate, what is the slope of the line?
8. A rectangular garden has a length of x and a width of y. The garden has its length reduced by 3 feet and its width extended by 2 feet. What is the area of the new garden?
9. If x = 3yz2, what is y in terms of x and z?
10. In the figure below, what is the measure of â α?