Algebra: Unit 2-CFA 2.2 Review

Which graph shows the solution to the system of inequalities?

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Which system of inequalities is shown?

• y ≥ -x - 1
  y < x + 4
• y < -x - 1
   y ≥ x + 4
• y > -x - 1
  y ≥ x + 4
• y > -x - 1
  y ≥ x + 3

An ice cream company makes $0.20 per container of vanilla ice cream and $0.25 per container of chocolate ice cream. They want to make a monthly profit of at least $2500. Based on past sales, they believe they will sell no more than 50,000 containers. Which of the following inequalities represent this situation. Select two.

• 0.20v + 0.25c ≤ 2500

• 0.20v + 0.25c ≥ 2500

• v + c > 50000

• v + c ≥ 50000

• v + c ≤ 50000

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Which of the following ordered pairs is a solution to the system of inequalities? Choose TWO.

• (1, -5)

• (2, 3)

• (-2, 3)

• (-1, 1)

• (0,-3)

A bakery sells two types of donuts.

• A glazed donut costs $3 and a plain donut costs $2.

• The bakery has a daily goal of at least $150 in sales for the two types of donuts.

An inequality describes the relationship between the number of glazed donuts, x, and the number of plain donuts, y, the bakery must sell to reach this goal. Which graph best represents the solutions to this inequality?

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The linear inequality, y < 5x + 2, is graphed. Which of the following points are solutions to the linear inequality? Select THREE.

• (-3, 0)

• (7,-4)

• (8,1)

• (-3,4)

• (-1,-6)

Two friends are going to the fair. Emilio has $20 to spend. Hector does not have a budget, but wants to do at least 8 activities. Rides cost $3 and games cost $2. Let r represent the number of rides and g represent the number of games. Which of the following represents this system of inequalities?

• 3r + 2g > 20

  3r + 2g > 8

• 3r + 2g > 20

  r + g > 8

• 3r + 2g < 20

  3r + 2g < 8

• 3r + 2g < 20

  r + g ≥ 8

Last week at lunch, two types of tickets were sold: Homecoming tickets (x) and Prom tickets (y). Fewer than 500 tickets were sold.

Choose THREE combination of tickets that work for this situation.

• (126, 374)

• (35, 400)

• (100, 150)

• (40, 4000)

• (200, 185)

A school plans to order new desks and chairs.

• The cost of each desk is $40.

• The cost of each chair is $25.

• The school plans to order at least 150 desks and chairs in all.

• The school can spend a maximum of $5,000.

Which graph represents x, the number of volleyballs, and y, the number of soccer balls that the coach can order?

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