IBEW Aptitude Test Algebra and Functions Questions and Answers

Question 1

An electrical contractor purchases a spool of wire that is 1,250 feet long.
If they use 3/5 of the spool for one job and then 1/4 of the remaining wire for a second job, how many feet of wire are left on the spool?

Accepted Answer

375 feet

Answer

500 feet

Answer

250 feet

Answer

125 feet

Question 2

Solve the following equation for x: 4(x + 2) - 2x = 14

Accepted Answer

x = 3

Answer

x = 5

Answer

x = 11

Answer

x = -3

Question 3

Which of the following expressions is the result of factoring the polynomial x² - 5x - 14?

Accepted Answer

(x + 2)(x - 7)

Answer

(x - 2)(x + 7)

Answer

(x - 14)(x + 1)

Answer

(x + 5)(x - 2)

Question 4

If f(x) = 3x² + 2x - 5, what is the value of f(-3)?

Accepted Answer

16

Answer

28

Answer

-26

Answer

38

Question 5

A circuit requires two resistors, R1 and R2. The resistance of R1 is 5 ohms more than twice the resistance of R2. The total resistance of the circuit is 32 ohms. What is the resistance of R2?

Accepted Answer

9 ohms

Answer

13 ohms

Answer

19 ohms

Answer

27 ohms

Question 6

Simplify the following algebraic expression: (4x²y³)(3xy⁴)

Accepted Answer

12x³y⁷

Answer

7x³y⁷

Answer

12x²y¹²

Answer

7x²y¹²

An electrical contractor purchases a spool of wire that is 1,250 feet long.If they use 3/5 of the spool for one job and then 1/4 of the remaining wire for a second job, how many feet of wire are left on the spool?

An electrical contractor purchases a spool of wire that is 1,250 feet long.
If they use 3/5 of the spool for one job and then 1/4 of the remaining wire for a second job, how many feet of wire are left on the spool?