Math 009 Quiz 4

Math 009

Quiz 4 Page 6

Math 009 Quiz 4

Fall 2016

Professor: Dr. Kate Bauer

Name________________________________

Please remember to show ALL of your work on every problem. Read the basic rules for showing work posted in our LEO classroom BEFORE you start working on the quiz.

1) Allison has a triangular garden bed in her back yard. The measure of the largest angle is 10° less than six time the measure of the smallest, and the measure of the middle angle is 30° more than the measure of the smallest angle. Find the measures of the three angles. Start your work by defining the unknown quantities in terms of a variable. Show all work and write a complete answer, including units.

2) Paul decided to ride his bicycle across the country during his 3-month summer vacation. The route he took from Washington, DC to Portland, Oregon, covered a total of 3480 miles. To keep his mind occupied during some of the long flat stretches of countryside, he often did algebra problems in his head. One day, for example, he determined that his distance from his starting point was exactly 90 miles more than twice the distance remaining until the finishing point. How far was Paul from the finishing point of his journey when he made that calculation? Start your work by defining the unknown quantities in terms of a variable. Show all work and write a complete answer, including units.

3) Solve the inequality. Write the answer using both set-builder notation and interval notation. Graph the solution set on a number line.