Algebra 1 - CPM Names Unit 9 Group Test

5 questions @ 6 points = 30 points

Directions - Answer each of the following questions. Show all of your work in order to receive full credit. Circle your answers where appropriate.

1. Indicate whether each of the following equations is true or false.

a) + = = 3 c) 5= e) ()3 =

b) = 2 d) = f) =

2. Solve each triangle for the unknown side(s). Round each answer to the nearest 0.01. a) b) 2 x 7 1 2 x 3 2 x

3. You are part of a group of tourists in Yosemite National Park who want to rent bikes to ride around the valley floor. You arrive at the bicycle rental shop and see that there are two different rental plans as shown below: Plan A $15 plus $2 per hour Plan B $5 plus $4 per hour

The group doesn't know which plan is best for each person but you volunteer to use your algebra skills to analyze the situation. Write equations and draw graphs to answer the following questions.

a) For which people is Plan A best? For which people is Plan B best?

b) When are the costs of the two plans the same and what is this cost? 4. For the following problem, define a variable, draw and label a diagram, then write an equation and solve it.

Tom left on his bike from Davis for Sacramento riding at 15 miles per hour. Thirty minutes later, Judy left Davis by car on the same road traveling at 60 miles per hour. How long did it take before Judy passed Tom? When they passed each other, how far had each person travelled ?

5. Graph the equation . What is the smallest value that can be used for x?