The Overland Trail Practice Test

1. The IM's Angels Gang Goes to California

We're all riding motorcycles from Florida to California. Jake's motorcycle breaks down. They garage needs two hours to fix it. Haley tells the group to keep going. She would wait with Jake. The group is averaging 60 mph. Night falls in ten hours and they plan to stay in Austin Texas, which is 600 miles away. Once the bike is fixed Jake and Haley average 70mph to catch up.

a. When will they catch up?

b. Will they make it by sundown?

c. Write each group's rate as an equation.

d. Make a graph that shows the distance they each travel.

2. Mike and the Moonshiner

When Mike and his brother arrive in Sutter Creek, Mike sets up a business selling moonshine to the gold miners. After three months he makes $48 and after seven months he earns $102.

a. Meanwhile his no-good brother Felix wants the gold. He makes $30 after the first month, $100 after the sixth month and $159 after nine months.

b. Who will have more money at the end of the year? 3. Jam Band Economies

At the end of Zoey and Sarah's jam band sessions, they note how many hours and how many songs they played.

a. Using the data in the tables below, draw two graphs on the same set of axes comparing total songs played to the total hours played for each band. b. s. Sarah's Jam Band c. Zoey's Jam Band t. d. u. Total w. Total e. Total g. Total song hour song hour s s of s s of v. playe x. jam f. playe h. jam d so band d so band far ing far ing so so far far y. 7 z. 2 i. 11 j. 3 aa. 19 ab. 6 k. 19 l. 5 ac. 28 ad. 9 m. 31 n. 8 ae. 46 af. 15 o. 47 p. 12 ag. q. r. ah. Reading from the graph, estimate how many songs Sarah's jam band played after 10 hours. Do the same for Zoey's jam band. ai. aj. Estimate how many songs each jam band plays each hour. ak. al.