Systems of Equations/MatricesName

TEST – Non Calculator Class Period

1.The matrix shows the number of flowers in four types of flower arrangements.

Roses Daisies Lilies

If roses cost $3, daisies cost $1, and lilies cost $2, which product would represent the cost of each type of flower arrangement?

2.The dimensions of matrix A are 2 x 3. The dimensions of matrix B are 3 x 17. What are the dimensions of matrix AB? 2 x 17

3.What is the solution for the following system of equations?

4.Given the matrix below, find 5Y.

5.Given the matrices below, find BA.

6.Use matrix multiplication and equal matrices to find x and y.

x=5, y=2

7.Simplify:

8.A city bus collected $780 in fares on one day. The price of a regular fare was $0.80, and the price of a discount fare was $0.40. If a total of 1200 people paid the fares on this bus, how many people paid the regular fare? 750 people paid regular fare

(set up and solve a system of equations to determine this answer)

9.Mahildabob and Murdock went to a store to buy DVDs on sale for $5 each, tax included. Mahildabob purchased two and a half times as many DVDs as Murdock purchased. Together they purchased 14 DVDs. Which system of linear equations can be used to determine m,the number of DVDs Mahildabob purchased, and d, the number of DVDs Murdock purchased?

10.You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $2.50 and each soda costs $1.50. At the end of the night you made a total of $385.50. You sold a total of 199 hot dogs and sodas combined. You must report the number of hot dogs sold and the number of sodas sold. How many hot dogs and how many sodas were sold?87 hot dogs, 112 sodas

Solve the following systems using any of the methods that you have learned.

11. A grocer bought 4 crates of lettuce and 3 crates of cabbage. Later he bought 2 crates of lettuce and 5 crates of cabbage. His first bill was $34.20 and the second bill was $31.80. Find the cost of each crate of lettuce and each crate of cabbage.

A crate of cabbage costs $5.40, a crate of lettuce costs $4.20

12. You have a combination of nickels, dimes, and quarters that total $2.75. There are 21 coins. The number of dimes is twice the number of nickels. How many nickels, dimes, and quarters do you have?

You have 5 nickels, 10 dimes, and 6 quarters

13. The biggest angle of a triangle is 4 more than twice the smallest angle. The smallest angle is 24 less than the middle angle. Find the measures of all three angles.

The angles measure 38, 62, and 80.

14. A will states that John is to get 3 times as much money as Mary. The total amount they will receive is $11,000. How much will each get?

Mary will receive $2,750 and John will receive $8,250

15. A rock concert is to be held in Bull Frog Stadium. The “reserved seat” tickets cost three times as much as the “cheap seat” tickets. There are 1000 reserved seats and a total capacity of 10,000 seats in the stadium. Assuming a capacity crowd, what price can be charged for each ticket so that the ticket sales will be $42,000?

Reserved seats should be $10.50 each, cheap seats should be $3.50 each.

16. The sum of a number and twice a second number is 56. The second number is 7 less than triple the first. Find the numbers.

The numbers are 10 and 23.

17. Melissa, Wes, and Daryl went to Fred’s burgers to get food for their friends at school. Melissa spent $6.35 on 2 burgers, 1 order of French fries, and 2 cokes. Wes ordered 1 burger, 2 orders of fries, and 2 cokes. His bill was $5.45. Daryl’s order of 3 burgers, 3 orders of fries, and 3 cokes totaled $11.01. Find the price of each item.

Burgers cost $1.89 each
French fries cost $0.99 each
Cokes cost $0.79 each

18. Jim, Bob, and Hal run different legs of a relay race. Their combined time is 29 minutes. Bob’s time is 1 minute more than 3 times Jim’s time. The sum of Bob’s time and twice Jim’s time is equal to Hal’s time. How much time did it take each runner to run his leg of the race?

Jim took 3 minutes, Bob took 10 minutes, Hal took 16 minutes.

19. At a hamburger restaurant, two hamburgers, a soda, and a salad cost $14. One hamburger, one soda, and three salads cost $15. Three hamburgers and one soda cost $16. How much does each cost?

Hamburgers cost $5 each
Sodas cost $1 each
Salads cost $3 each

20. You and two friends buy snacks for a hiking trip. You spend a total of $8. Mandy spends $9 and Frank spends $9. You bought one pound of mixed nuts, a half pound of granola, and one pound of dried fruit. Mandy bought two pounds of mixed nuts, a half pound of granola, and a half pound of dried fruit. Frank bought one pound of mixed nuts, two pounds of granola, and a half pound of dried fruit. Find the total price of 2 pounds of mixed nuts and one pound of dried fruit.

2 pounds of mixed nuts and 1 pound of dried fruit will cost $10