IBEW Solving Linear Equations 4

Question 1

Solve for x: 9x = 63

Accepted Answer

x = 7

Answer

Divide both sides by 9: x = 63 ÷ 9 = 7.

Question 2

Two circuits carry currents that sum to 30 amps. If one carries 6 more amps than the other, how many amps does the smaller circuit carry?

Accepted Answer

12 amps

Answer

Let x = smaller; x + (x+6) = 30, so 2x = 24, x = 12 amps.

Question 3

Solve for x: 2x/5 = 8

Accepted Answer

x = 20

Answer

Multiply both sides by 5: 2x = 40, then divide by 2: x = 20.

Question 4

Solve for y: 4y - 3 = 2y + 7

Accepted Answer

y = 5

Answer

Subtract 2y: 2y - 3 = 7, add 3: 2y = 10, divide: y = 5.

Question 5

If 5(x - 1) = 20, what is x?

Accepted Answer

x = 5

Answer

Divide by 5: x - 1 = 4, then add 1: x = 5.

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