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Linear Inequality Quiz

10 Questions
Linear Inequality Quiz

This quiz was created to test student understanding at the end of a lesson on how to solve linear inequalities. The students will be required to complete the quiz online during classtime spent in the computer lab.

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Questions and Answers
  • 1. 
    To solve an inequality means to find all values of the variable for which the statement is true.
    • A. 

      True

    • B. 

      False

  • 2. 
    Solve the inequality:   4x + 7 ≥ 2x – 3 
    • A. 

      X ≥ 2

    • B. 

      X ≥ -2

    • C. 

      X ≥ -5

    • D. 

      X ≤ -5

  • 3. 
    The following illustration represents the interval  [-1, 3)
    • A. 

      True

    • B. 

      False

  • 4. 
    Two inequalities having exactly the same solution set are called
  • 5. 
    Write the following inequalities using interval notation: x < -4     and     -2 ≤ x < 7
    • A. 

      (-∞, -4) and [-2, 7)

    • B. 

      (-4, ∞) and [-2, 7)

    • C. 

      (-∞, -4) and (-2, 7)

    • D. 

      [-∞, -4] and [-2, 7]

  • 6. 
    Fill in the blank with the correct inequality symbol:  • •If x ≥ 5, then -4x ______ -20
    • A. 

    • B. 

      <

    • C. 

      >

    • D. 

    • E. 

      =

  • 7. 
    • A. 

      15 gallons ≤ x ≤ 20 gallons

    • B. 

      12 gallons ≤ x ≤ 20 gallons

    • C. 

      15 gallons ≤ x ≤ 25 gallons

    • D. 

      0 gallons ≤ x ≤ 12 gallons

    • E. 

      12 gallons < x ≤ 20 gallons

  • 8. 
    Solve the following linear inequality graphically:   -2x – 6 ≤ 8
    • A. 

      X ≤ -7

    • B. 

      X ≥ -7

    • C. 

      X < 1

    • D. 

      X ≥ -1

  • 9. 
    On the graph below, f(x)= 3x - 3 (in red) and g(x)= 12  (in blue).  When is f(x) < g(x)?  Write your answer in interval notation.
  • 10. 
    On the graph below, f(x)= -5 (in blue)  g(x)= 4-3x  (in red)  and h(x)= 2 (in green) f(x) ≤ g(x) ≤ h(x) when  2/3 ≤ x ≤ 3
    • A. 

      True

    • B. 

      False