IBEW Solving Linear Equations 3

Question 1

Solve for x: 4x + 9 = 29

Accepted Answer

x = 5

Answer

Subtract 9 from both sides: 4x = 20, then divide by 4: x = 5.

Question 2

If a wire is cut into two pieces where one piece is twice as long as the other and the total length is 48 feet, how long is the shorter piece?

Accepted Answer

16 feet

Answer

Let x = shorter piece; x + 2x = 48, so 3x = 48, x = 16 feet.

Question 3

Solve for x: 7 - 2x = 3

Accepted Answer

x = 2

Answer

Subtract 7 from both sides: -2x = -4, then divide by -2: x = 2.

Question 4

Solve for t: t/3 - 4 = 2

Accepted Answer

t = 18

Answer

Add 4 to both sides: t/3 = 6, then multiply by 3: t = 18.

Question 5

An electrician charges a $75 service fee plus $45 per hour. A customer is billed $255. How many hours did the job take?

Accepted Answer

4 hours

Answer

Set up 45h + 75 = 255, so 45h = 180, h = 4 hours.

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