FREE IBEW Aptitude Test Solving Algebraic Equations Questions and Answers

Question 1

An electrical apprentice is told that the total resistance (R_T) of two resistors in parallel is given by the formula 1/R_T = 1/R_1 + 1/R_2.
If R_T is 6 ohms and R_1 is 10 ohms, what is the value of R_2?

Accepted Answer

15 ohms

Answer

12 ohms

Answer

4 ohms

Answer

16 ohms

Question 2

Solve the following linear equation for x: 5(x + 3) - 2x = 21

Accepted Answer

x = 2

Answer

x = 12

Answer

x = -2

Answer

x = 3

Question 3

A job requires cutting a 42-foot length of conduit into two pieces. One piece must be 8 feet longer than the other. Which of the following equations correctly represents this situation, where 'L' is the length of the longer piece?

Accepted Answer

L + (L - 8) = 42

Answer

L + (L + 8) = 42

Answer

L - (L - 8) = 42

Answer

L + 8L = 42

Question 4

If 3a - 5 = 16, what is the value of 6a + 10?

Accepted Answer

52

Answer

21

Answer

37

Answer

42

Question 5

Solve the following system of equations for y:

2x + y = 11
3x - 2y = 6

Accepted Answer

y = 3

Answer

y = 4

Answer

y = 11

Answer

y = -1

Question 6

Which of the following is a correct factorization of the quadratic expression x² - 2x - 15?

Accepted Answer

(x + 3)(x - 5)

Answer

(x - 3)(x + 5)

Answer

(x - 3)(x - 5)

Answer

(x + 3)(x + 5)

An electrical apprentice is told that the total resistance (R_T) of two resistors in parallel is given by the formula 1/R_T = 1/R_1 + 1/R_2.If R_T is 6 ohms and R_1 is 10 ohms, what is the value of R_2?

An electrical apprentice is told that the total resistance (R_T) of two resistors in parallel is given by the formula 1/R_T = 1/R_1 + 1/R_2.
If R_T is 6 ohms and R_1 is 10 ohms, what is the value of R_2?