EIAT Basic Algebra and Equations 5 — Questions and Answers
Question 1: Solve for w: 6w + 5 = 4w + 17
Correct answer: 6
Subtracting 4w: 2w + 5 = 17 → 2w = 12 → w = 6.
Question 2: An elevator rises at v floors per minute. In 8 minutes it covers 40 floors. What is v?
Correct answer: 5
8v = 40 → v = 5 floors per minute.
Question 3: If 5(x + 2) = 35, what is x?
Correct answer: 5
Dividing by 5: x + 2 = 7 → x = 5.
Question 4: Which inequality is equivalent to 2x - 4 > 8?
- x > 6 (Correct answer)
- x > 4
- x < 6
- x ≥ 6
Correct answer: x > 6
Adding 4: 2x > 12 → x > 6.
Question 5: A conduit contains n wires. After adding 9 more there are 25. Find n.
- 16 (Correct answer)
- 14
- 18
- 20
Correct answer: 16
n + 9 = 25 → n = 16 wires.
Question 6: Solve for x: 2(x - 5) + 3x = 15
Correct answer: 5
Expanding: 2x - 10 + 3x = 15 → 5x = 25 → x = 5.
Question 7: The load capacity L of a platform equals 3w + 50, where w is the width in feet. If L = 200 kg, find w.
- 50 (Correct answer)
- 60
- 40
- 45
Correct answer: 50
3w + 50 = 200 → 3w = 150 → w = 50 feet.