EIAT Basic Algebra and Equations 2 — Questions and Answers
Question 1: A cable drum holds 3x + 15 meters of cable. If x = 20, how many meters does it hold?
- 65
- 55
- 75 (Correct answer)
- 70
Correct answer: 75
Substituting x = 20: 3(20) + 15 = 60 + 15 = 75 meters.
Question 2: Solve for n: 7n - 4 = 45
- 7 (Correct answer)
- 6
- 8
- 9
Correct answer: 7
Adding 4 to both sides gives 7n = 49, so n = 49 ÷ 7 = 7.
Question 3: If two pulleys have a combined diameter of 48 cm and one is 12 cm larger than the other, what is the diameter of the smaller pulley?
- 18 cm (Correct answer)
- 30 cm
- 24 cm
- 20 cm
Correct answer: 18 cm
Let smaller = x; x + (x+12) = 48 → 2x = 36 → x = 18 cm.
Question 4: Simplify: 4(2y + 3) - 2y
- 6y + 12 (Correct answer)
- 8y + 12
- 6y + 3
- 10y + 12
Correct answer: 6y + 12
Expanding gives 8y + 12 - 2y = 6y + 12.
Question 5: A motor runs at r revolutions per minute. After a speed increase of 150 rpm it runs at 750 rpm. What was r?
- 600 (Correct answer)
- 550
- 650
- 700
Correct answer: 600
r + 150 = 750, so r = 750 - 150 = 600 rpm.
Question 6: Solve for x: x/6 + 4 = 9
- 30 (Correct answer)
- 18
- 42
- 54
Correct answer: 30
Subtracting 4 from both sides gives x/6 = 5, so x = 30.
Question 7: Which value of m satisfies 3m + 2 = 2m + 9?
- 7 (Correct answer)
- 5
- 11
- 3
Correct answer: 7
Subtracting 2m from both sides: m + 2 = 9, so m = 7.
EIAT Basic Algebra and Equations 2
A cable drum holds 3x + 15 meters of cable.
If x = 20, how many meters does it hold?