Linear Inequalities in Two Variables

Is the point (2, 6) included in the solution set of the linear inequality?

y < -2x - 5

• Yes, it is included.

• No, it is excluded.

Which point is a solution to the linear equations: x>1, y<5, and y>2x-2

• (0, 4)

• (3, 3)

• (2, 0)

• (2, 4)

• (6, 12)

Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can only make up to 40 pieces of jewelry. Which inequalities represent this situation?

The automotive plant in Compton makes the White Vans and the Bugatti's. The plant has a maximum production capacity of 1200 cars per week. During the spring, a dealer orders up to 600 White Vans and 800 Bugatti's each week. What the inequality to represent the situation? (X equals White Vans and Y equals Bugatti's

• x+y≤1,200

• x-y=1,200

• x+y＜1,200

• x+y=1,200

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

Write the linear inequality in standard form for this situation: The CRHS science department can spend no more than $2700 on textbooks this year. The department needs to buy both Biology text books, which cost $57 each, and Chemistry textbooks, which cost $72 each.

• 57x + 72y ≥ 2700

• 57x + 72y > 2700

• 57x + 72y < 2700

• 57x + 72y ≤ 2700

Write the linear inequality in standard form for this situation: Ms. Johnson is ordering pizzas and breadsticks for a school party and has a budget of no more than $81. An order of breadsticks costs $7 and a pizza costs $13.

• 7x + 13y < 81

• 7x + 13y ≥ 81

• 7x + 13y ≤ 81

• 7x + 13y > 81

For a school play, adults tickets a cost $12 and student tickets s cost $8. The drama club wants to collect at least $5000. Which inequality expresses the constraint on income?

• 12a + 8s < 5000

• 12a + 8s > 5000

• 12a + 8s < 5000

• 12a + 8s > 5000

Jon is buying flowers for his wife. Roses are $3 each, and tulips cost $2 each. Let x = number of roses Let y = number of tulips Jon has a budget of $50. Which inequality models this scenario?

• 3x + 2y < 50

• 3x + 2y > 50