3 variables matrices graded assignment
ALGEBRA II
Minor Summative: Solving Systems using Matrices (20 points)
Name:_____________________
Period:__________
Set up matrices and solve using the graphing calculator. Do not give answers as decimals.
1. 2. 3.
Set up equations, then matrices, and solve using the graphing calculator. Be sure to define variables!
4. Suppose the movie theater you work at sells popcorn in three different sizes. A small costs $2, a medium costs $5, and a large costs $10. On your shift, you sold 250 total containers of popcorn and brought in $1726. You sold twice as many large containers as small ones.
a. How many of each popcorn size did you sell?
b. How much money did you bring in from selling small size containers?
5. One canned juice drink is 15% orange juice and another is 5% orange juice. How many liters of each should be mixed together to get a 10 liter solution that is 10% orange juice?
Set up equations, then matrices, and solve using the graphing calculator. Be sure to define variables!
6. A company sells three types of movie gift baskets. A basic basket with 2 movie passes and 1 package of microware popcorn costs $15.50. A medium basket with 2 movie passes, 2 packages of popcorn, and 1 DVD costs $37. A super basket with 4 movie passes, 3 packages of popcorn, and 2 DVDs costs $72.50. Find the cost of each item in the gift baskets.
7. A driver’s education program consists of a total of 46 hours of classroom instruction, driving, and observation combined. You must spend 3 times as much time in the classroom as driving, and 4 hours longer driving than observing. How much time do you spend on each activity?
8. At the High Flying Carnival there are three kinds of rides: rides for the timid, rides for the adventurous, and rides for the thrill seekers. You can buy a book that includes free admission and ten tickets for each type of ride at the calculated rate, or you can pay $5.00 for admission
Minor Summative: Solving Systems using Matrices (20 points)
Name:_____________________
Period:__________
Set up matrices and solve using the graphing calculator. Do not give answers as decimals.
1. 2. 3.
Set up equations, then matrices, and solve using the graphing calculator. Be sure to define variables!
4. Suppose the movie theater you work at sells popcorn in three different sizes. A small costs $2, a medium costs $5, and a large costs $10. On your shift, you sold 250 total containers of popcorn and brought in $1726. You sold twice as many large containers as small ones.
a. How many of each popcorn size did you sell?
b. How much money did you bring in from selling small size containers?
5. One canned juice drink is 15% orange juice and another is 5% orange juice. How many liters of each should be mixed together to get a 10 liter solution that is 10% orange juice?
Set up equations, then matrices, and solve using the graphing calculator. Be sure to define variables!
6. A company sells three types of movie gift baskets. A basic basket with 2 movie passes and 1 package of microware popcorn costs $15.50. A medium basket with 2 movie passes, 2 packages of popcorn, and 1 DVD costs $37. A super basket with 4 movie passes, 3 packages of popcorn, and 2 DVDs costs $72.50. Find the cost of each item in the gift baskets.
7. A driver’s education program consists of a total of 46 hours of classroom instruction, driving, and observation combined. You must spend 3 times as much time in the classroom as driving, and 4 hours longer driving than observing. How much time do you spend on each activity?
8. At the High Flying Carnival there are three kinds of rides: rides for the timid, rides for the adventurous, and rides for the thrill seekers. You can buy a book that includes free admission and ten tickets for each type of ride at the calculated rate, or you can pay $5.00 for admission