• #### 1.  It is a method for finding a maximum or minimum value of some quantity, given a set of constraints.

• Operations research
• Maximization
• Minimization
• Linear programming
• #### 2.  Rachel owns a car and a moped. She has at most 12 gallons of gas to be used between the car and the moped. The car's tank holds at most 10 gallons and the moped's 3 gallons. The mileage for the car is 20 mpg and for the moped is 100 mpg. What are the variables you need to define?

• x is gas, y is mileage
• x is car, y is moped
• x is gas, y is moped
• x is car, y is mileage
• #### 3.  Cullin needs to save at least $100 for homecoming. He works 2 jobs earning$8/hour at Culvers and $25/hour mowing lawns. He only has time to work 14 hours before homecoming. • x + y ≥ 25x + y ≤ 8 • 100x + 25 y ≤ 1002x + 8y ≤ 14 • x + y ≥ 1008x + 25y ≤ 14 • 8x + 25y ≥ 100x + y ≤ 14 • #### 4. Define Profit • Money you make, after expenses. • What you spend up front to create the product. • Vertices where the lines intersect. • The most, biggest profit possible. • #### 5. Which of the following inequalities matches the given graph? • x ≥ -1 • x ≤ -1 • x > -1 • x < -1 • #### 6. Which of the following is not a solution to this system of inequalities? • (0,-1) • (0,3) • (4,0) • (6,-2) • #### 7. Write the inequality • y>2/3x-3 • y<2/3x-3 • y≤2/3x-3 • y≥2/3x-3 • #### 8. Sarah makes small purses (x) and big purses (y). She can make no more than 8 purses a week.Which inequality represents the situation? • x + y ≤ 8 • x + y ≤ 6 • 2x + 3y ≤ 6 • x + y ≤ 10 • #### 9. It takes Sarah 2 hours to make small purses and 3 hours to make big purses. She has a maximum of 18 hours a week. Which inequality represents this situation? • 2x + 3y ≤ 18 • x + y ≤ 6 • x + y ≤ 9 • 3x + 2y ≤ 18 • #### 10. Which system of inequality is shown? • y ≥ -x - 1y < x + 4 • y < -x - 1 y ≥ x + 4 • y > -x - 1 y ≥ x + 4 • y > -x - 1 y ≥ x + 4 • #### 11. Sarah makes$30 for each small purse (x) and $50 for each big purse (y). What is the objective quantity? • P = 30x + 50y • P = 50x + 30y • #### 12. Write the system of inequalitiesCarlos works at a movie theater selling tickets. The theater has 300 seats and charges$7.50 for adults and $5.50 for children. The theater expects to make at least$2000 for each showing.

• x+y≤3007.5x+5.5y≥2000
• x+y<3007.5x+5.5y≥2000
• x+y≤3007.5x+5.5y≤2000
• x+y>20007.5x+5.5y≤300
• #### 13.  Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

• x + y = 33y = 2x - 3
• x + y = 33x = 2y - 3
• x + y = 33x = 3 - 2y
• x + y = 3x = 33 - 2y
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