# Linear Inequality Quiz

10 Questions

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.
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

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