Unit Review Practice

9. Solve the following system using a matrix. 7a - b = -1 −4a - 2b = -2

A. (0,1)

4. Jack is selling wristbands and headbands to earn money for camp. He earns $2 for each wristband and $3 for each headband. He wants to earn at least $50. He needs to sell at least 5 wristbands. Which system of inequalities is shown in the graph of the solution below?

A. 2x + 3y ≥ 50 x ≥ 5 x ≥ 0 y ≥ 0

7. What is the m12 in matrix M? M=[874 over 205]

B. 7

8. Which linear system of equations does the matrix represent? M=[8 7 over 2 0 \ 4 over 5]

B. 8x + 7y = 4 2x + 0y = 5

10. Find the values of x and y that maximize the objective function P = 3x + y for the graph. What is the maximum value?

C. (3,0)

2. Mackenzie is responsible for buying a week's supply of food and medication for the puppies and kittens at a local shelter. The food and medication for each puppy costs twice as much as those supplies for a kitten. She needs to feed 164 kittens and 24 puppies. Her budget is $4,240. How much can Mackenzie spend on each puppy for food and medication?

B. $40

6. You are an athletic director and have a budget of $7,000 for uniforms. You can buy Top Flight uniforms for $125 each, and Bargain uniforms for $75 each. If you want to have 3 times as many Bargain uniforms as Top Flight uniforms, how many of each type should you buy?

B. 20 Top Flight; 60 Bargain

3. Which system of inequalities is represented by the solution shown in the graph below?

C. y ≤ 2x + 4 y ≥ -2x + 1

1. Solve the system by graphing. -x+4y=-2 -2x+5y=-4

D. (Graph that intersects at (2,0)

5. You are making your weekly meal plans and are working with the following constraints: It costs $8 to go to out to dinner. It costs $5 to go out to lunch. You want to go out to dinner at least as many times as you go out to lunch. You can spend at most $42. What is the greatest number of meals you can eat out?

D. 6