EIAT Basic Algebra and Equations 3 — Questions and Answers
Question 1: An elevator travels d floors per trip. After 12 trips it has covered 84 floors. What is d?
- 7 (Correct answer)
- 6
- 8
- 9
Correct answer: 7
12d = 84, so d = 84 ÷ 12 = 7 floors per trip.
Question 2: Solve for t: 5(t - 3) = 20
- 7 (Correct answer)
- 5
- 8
- 4
Correct answer: 7
Dividing both sides by 5: t - 3 = 4, so t = 7.
Question 3: If 2a + b = 14 and b = 4, what is a?
- 5 (Correct answer)
- 4
- 6
- 7
Correct answer: 5
Substituting b = 4: 2a + 4 = 14 → 2a = 10 → a = 5.
Question 4: A tension spring stretches 2.5 cm for every 10 N of force. How many cm does it stretch under 70 N?
- 17.5 cm (Correct answer)
- 14 cm
- 20 cm
- 25 cm
Correct answer: 17.5 cm
Rate = 2.5/10 = 0.25 cm/N; 0.25 × 70 = 17.5 cm.
Question 5: Solve for p: 4p - 7 = p + 11
- 6 (Correct answer)
- 4
- 8
- 5
Correct answer: 6
Subtracting p from both sides: 3p - 7 = 11 → 3p = 18 → p = 6.
Question 6: If y = 3x - 2 and x = 5, what is y?
- 13 (Correct answer)
- 11
- 15
- 17
Correct answer: 13
y = 3(5) - 2 = 15 - 2 = 13.
Question 7: A counterweight is 150 kg heavier than the car it balances. Together they weigh 950 kg. How heavy is the counterweight?
- 550 kg (Correct answer)
- 400 kg
- 500 kg
- 475 kg
Correct answer: 550 kg
Let car = x; x + (x+150) = 950 → 2x = 800 → x = 400; counterweight = 550 kg.
EIAT Basic Algebra and Equations 3
An elevator travels d floors per trip.
After 12 trips it has covered 84 floors.
What is d?