Algebra 2 Chapter 2 Review

Select the correct graph for each inequality.

• A
• B
• C
• _D

Tags

CCSS.HSA.REI.D.12

Consider the function y<2x+3. Which is true?

• The line would be solid with shading above.
• The line would be dashed with shading above.
• The line would be solid with shading below.
• The line would be dashed with shading below.

Tags

CCSS.HSA.REI.D.12

Match the system to the graph.

• y ≤ 3x   and  y ≤ -2x + 4
• y > 3x   and  y > -2x + 4
• y < 3x   and  y > -2x + 3
• y > 3x   and  y < -2x + 4

Tags

CCSS.HSA.REI.D.12

Which of the following is not a solution to this system of inequalities?

• (0,-1)
• (0,3)
• (4,0)
• (6,-2)

Tags

CCSS.HSA.REI.D.12

Which of the following inequalities represents the graph? 

• x≤-2
  y≤x-3
• y≤-2
  y≤x-3
• x≥-2
  y≤x-3
• y≥-2
  y≤x-3

Tags

CCSS.HSA.REI.D.12

Which of the following points is a solution to the system of equations below?
x + 2y ≥ 4
3x − 2y < 4

• (0, 0)
• (2, 1)
• (2, 2)
• (-1, 1)

3. Katie works part-time at the Fallbrook Riding Stable. She makes $5 an hour for exercising horses and $10 an hour for cleaning stalls. Her goal is to make no less than $90 a week. Because Katie is a full-time student, she cannot work more than 12 hours per week and still maintain a high GPA. Write a system of equations that model this situation.

• 5x + 10y > 90

  x + y < 12

• 5x + 10y < 90

  x + y < 12

• 5x + 10y < 90

  x + y >12

• 5x + 10 > 90

  x + y < 12

Are the points on the boundary line part of the solution set or not?

• Yes, they are part of the solution set because its a solid line

• No, they are NOT part of the solution set because its a solid line

• Yes, they are part of the solution set because it represents less than the equation

• No, they are NOT part of the solution set because it represents greater than the equation

Tags

CCSS.HSA.REI.D.12

Which system of inequalities matches the graph?

• y > 2x - 4
  y < 2
• y < 2x - 4
  y < 2
• y > 2x - 4
  y <  2 
• y < 2x - 4
  y <   -2

Tags

CCSS.HSA.REI.D.12

Which point is a solution?

• (0, 6)
• (-3, 4)
• (1, 0)
• (-4, 3)

Tags

CCSS.HSA.REI.D.12