Algebra Camp Systems of Inequalities

What's the difference between systems of equations and systems of inequalities?

• Systems of equations have 1 solution, no solution, or infinite solutions while systems of inequalities can have a range of solutions.

• Systems of equations use slope-intercept form only while systems of inequalities use standard form only.

• Systems of equations have a shaded region while systems of inequalities do not.

• There is no difference.

Tags

CCSS.HSA.REI.C.7

Identify the graph represented by the following system of inequalities.

2x - y > 4

4x + 2y < 6

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Tags

CCSS.HSA.REI.D.12

Graph:
y≤-2x+5
y>2x+7
Which of the following is NOT a solution?

• (-4, 2)
• (-10, 7)
• (-3, 0)
• (-2, 6)

Tags

CCSS.HSA.REI.D.12

Given the system, determine a solution.

• No solution
• Infinite solutions
• (-5, 5)
• (5, -5)

Tags

CCSS.HSA.REI.D.12

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

Tags

CCSS.HSA.REI.D.12

Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?

• x + y ≥ 6
  32x + 20y ≤ 150

• x + y ≥ 632
  x + 20y ≥ 150

• x + y ≤ 6
  32x + 20y ≤ 150

• x + y ≤ 6
  32x + 20y ≥ 150

Solve the system of inequalities by graphing.

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Tags

CCSS.HSA.REI.D.12

Solve the system of inequalities by graphing.

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Tags

CCSS.HSA.REI.D.12

Is (-2, 0) a solution to the system?

• Solution

• Not a solution

Tags

CCSS.HSA.REI.D.12

Given the graph, determine which is NOT a solution.

• (0, 0)
• (2, -1)
• (-2, -2)
• (-5, 1)

Tags

CCSS.HSA.REI.D.12