GED Mathematical Reasoning TestAlgebraic Problem Solving with Expressions and EquationsEasy
A technician is setting up a new server. The total power consumption (P) in watts is modeled by the equation P = 150 + 25n, where 'n' is the number of hard drives installed. If the technician wants the total power consumption to be exactly 400 watts, how many hard drives can be installed?
- A14 hard drives
- B10 hard drives
- C12 hard drives
- D8 hard drives
Show answer & explanationAnswer & explanation
Correct answer: B. 10 hard drives
To find the number of hard drives, substitute the desired power consumption into the equation and solve for 'n'. Subtract 150 from both sides, then divide by 25.
Why the other options are wrong
- A. This would result in a power consumption of 500 watts, significantly exceeding the target.
- C. This would result in a power consumption of 450 watts, exceeding the target.
- D. This would result in a power consumption of 350 watts, not 400 watts.
Solving Linear Equations
A linear equation is an algebraic equation in which each term has an exponent of one, typically involving one or more variables. Solving it means finding the value(s) of the variable(s) that make the equation true.
- Involves isolating the variable on one side of the equation.
- Use inverse operations (addition/subtraction, multiplication/division) to maintain balance.
- The solution is a single value for a single-variable linear equation.
Memory trick: Isolate the variable, like a lone wolf in the wilderness.