Systems of Equations and Linear Inequalities

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.
• None of these.

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

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

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

• (0,-1)
• (0,3)
• (4,0)
• (6,-2)

Which ordered pair is a solution of the inequality?

y ≥ 4x – 5

• (3, 4)

• (3, 0)

• (2, 1)

• (1, 1)

What is the solution to this system?

• (-1, -2)
• (-2, -1)
• There is no solution.
• There are infinite solutions.

An exam worth 145 points contains 50 questions.  Some questions are worth two points and some are worth five points.  How many five point questions are on the test?

• 20
• 35
• 15
• 25

What is the equation of a line that has a slope of 7 and a y-intercept of 12?

• y = 12x + 7
• y = 7/12x
• x = 7y +12
• y = 7x + 12

What type of solution does the system below have?
8x - 4y = 12
y = 2x - 3

• One solution
• No solution
• Infinite solutions

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines