EIAT Basic Algebra and Equations 4

Question 1

Solve for k: 9 - 2k = 3

Accepted Answer

3

Answer

Subtracting 9 from both sides: -2k = -6 → k = 3.

Question 2

A wire is cut into two pieces. One piece is 4 times longer than the other. The total length is 60 m. How long is the shorter piece?

Accepted Answer

12 m

Answer

Let shorter = x; x + 4x = 60 → 5x = 60 → x = 12 m.

Question 3

Evaluate 2x² - x when x = 3.

Accepted Answer

15

Answer

2(3²) - 3 = 2(9) - 3 = 18 - 3 = 15.

Question 4

An elevator pit has depth d. If d + 1.2 = 2.7 m, what is d?

Accepted Answer

1.5 m

Answer

d = 2.7 - 1.2 = 1.5 m.

Question 5

If 3x + 2y = 22 and x = 4, find y.

Accepted Answer

5

Answer

3(4) + 2y = 22 → 12 + 2y = 22 → 2y = 10 → y = 5.

EIAT - Elevator Industry Aptitude Test Practice Test