IBEW Solving Linear Equations 5

Question 1

Solve for x: x + 13 = 5

Accepted Answer

x = -8

Answer

Subtract 13 from both sides: x = 5 - 13 = -8.

Question 2

Three electricians split a job bonus equally. If each receives $240, which equation finds the total bonus B?

Accepted Answer

B/3 = 240

Answer

Dividing the total by 3 gives each person's share: B/3 = 240.

Question 3

Solve for x: 8x - 5 = 6x + 9

Accepted Answer

x = 7

Answer

Subtract 6x: 2x - 5 = 9, add 5: 2x = 14, divide: x = 7.

Question 4

Solve for x: x/6 = 9

Accepted Answer

x = 54

Answer

Multiply both sides by 6: x = 9 × 6 = 54.

Question 5

A voltage reading is modeled by V = 12t + 4 where t is time in seconds. At what time t does V equal 52 volts?

Accepted Answer

t = 4 seconds

Answer

Set 12t + 4 = 52, subtract 4: 12t = 48, divide: t = 4 seconds.

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