Advanced Algebra - Midterms

What is the solution set of the equation |x - 3| = 5?

• {8, -2}
• {3, -3}
• {8, -2}
• {0, 8}

Which of the following represents the solution to the inequality |x + 4| ≤ 6?

• -10 ≤ x ≤ 2
• x < -4 or x > 2
• x > -4 and x < 6
• No solution

Solve: |2x - 5| = 7.

• {1, 6}
• {-1, -6}
• {7, -2}
• {0, -2}

Solve |x - 2| > 3.

• x > 5 or x < -1
• -1 < x < 5
• x = -1
• x = 5

Solve |3x - 4| = 8.

• x = 4 or x = -4/3
• x = -4 or x = 4/3
• x = -3 or x = 3
• No solution

What is the solution to |x + 3| < 7?

• -10 < x < 4
• x ≤ -10 or x ≥ 4
• x = -10
• No solution

Solve |x - 1| = -4.

• x = 4
• No solution
• x > 4
• x < -4

What is the solution to |2x + 3| > 7?

• x > -2
• x = 2
• x < -2 or x > 5
• No solution

The absolute value function f(x) = |x| is always:

• Positive
• Negative
• Zero
• Undefined

What is the solution to |x - 1| > 4?

• x < -3 or x > 5
• -3 < x < 5
• x = 3
• No solution