Linear Inequality Quiz
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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.
- 1.To solve an inequality means to find all values of the variable for which the statement is true.
- A.
True
- B.
False
- 2.
- A.
X ≥ 2
- B.
X ≥ -2
- C.
X ≥ -5
- D.
X ≤ -5
- 3.
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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.
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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.
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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
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