IBEW Aptitude Test Solving Linear Equations Questions and Answers 2 — Questions and Answers

Question 1: Solve: 8x + 4 = 36

x = 3
x = 4 (Correct answer)
x = 5
x = 6

Correct answer: x = 4

8x = 32. x = 4.

8x + 4 = 36. Subtract 4: 8x = 32. Divide by 8: x = 4. Check: 8(4)+4=36 ✓. Solving two-step linear equations is a core IBEW aptitude test skill applied to electrical formulas like Ohm's Law variants.

Question 2: Solve: 9 - 3x = 0

x = 1
x = 2
x = 3 (Correct answer)
x = 4

Correct answer: x = 3

9 = 3x. x = 3.

9 - 3x = 0. Add 3x to both sides: 9 = 3x. Divide by 3: x = 3. Check: 9-3(3)=9-9=0 ✓. Equations where the variable has a negative coefficient require moving it to the other side before dividing.

Question 3: Solve: (2x + 6)/4 = 5

x = 6
x = 7 (Correct answer)
x = 8
x = 9

Correct answer: x = 7

2x + 6 = 20. 2x = 14. x = 7.

(2x+6)/4 = 5. Multiply by 4: 2x+6=20. Subtract 6: 2x=14. Divide by 2: x=7. Check: (2(7)+6)/4=(14+6)/4=20/4=5 ✓. Clearing fractions by multiplying is the first step when the entire expression is divided.

Question 4: Solve the equation: 5x - 8 = 2x + 7

x = 4
x = 5 (Correct answer)
x = 6
x = 7

Correct answer: x = 5

3x = 15. x = 5.

5x-8 = 2x+7. Subtract 2x: 3x-8=7. Add 8: 3x=15. Divide: x=5. Check: 5(5)-8=17, 2(5)+7=17 ✓. Equations with variables on both sides test the ability to systematically collect like terms.

Question 5: Using the formula P = IV, if P = 1,200 watts and V = 120 volts, solve for I.

I = 8 amps
I = 10 amps (Correct answer)
I = 12 amps
I = 15 amps

Correct answer: I = 10 amps

I = P/V = 1200/120 = 10 amps.

P = IV. Divide both sides by V: I = P/V = 1200/120 = 10 amps. This directly applies linear equation solving to Watt's Law. Apprentice electricians must be able to rearrange and solve these formulas for any variable.

Question 6: Solve for w: 3w + 4 = w + 14

w = 3
w = 4
w = 5 (Correct answer)
w = 6

Correct answer: w = 5

2w = 10. w = 5.

3w+4 = w+14. Subtract w: 2w+4=14. Subtract 4: 2w=10. Divide: w=5. Check: 3(5)+4=19, 5+14=19 ✓. Two-step equation with variables on both sides is a standard linear equation format.

IBEW Aptitude Test Solving Linear Equations Questions and Answers 2

Solve: 8x + 4 = 36

Select your answer