EIAT Basic Algebra and Equations 2

Question 1

A cable drum holds 3x + 15 meters of cable. If x = 20, how many meters does it hold?

Accepted Answer

75

Answer

Substituting x = 20: 3(20) + 15 = 60 + 15 = 75 meters.

Question 2

Solve for n: 7n - 4 = 45

Accepted Answer

7

Answer

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?

Accepted Answer

18 cm

Answer

Let smaller = x; x + (x+12) = 48 → 2x = 36 → x = 18 cm.

Question 4

Simplify: 4(2y + 3) - 2y

Accepted Answer

6y + 12

Answer

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?

Accepted Answer

600

Answer

r + 150 = 750, so r = 750 - 150 = 600 rpm.

EIAT - Elevator Industry Aptitude Test Practice Test