Praxis Core Academic Skills for Educators: Mathematics (5733)Algebra and FunctionsHard
A production manager is tracking the output of two different machines. Machine A produces 15 units per hour and has already produced 50 units. Machine B produces 20 units per hour and has already produced 20 units. After how many additional hours will both machines have produced the same total number of units?
- A2 hours
- B6 hours
- C8 hours
- D4 hours
Show answer & explanationAnswer & explanation
Correct answer: B. 6 hours
Set up an equation for the total units produced by each machine as a function of additional hours (h). For Machine A: 15h + 50. For Machine B: 20h + 20. Set these two expressions equal to each other and solve for h.
Why the other options are wrong
- A. Incorrectly solved the equation or made arithmetic errors.
- C. Incorrectly solved the equation or made arithmetic errors.
- D. Incorrectly solved the equation or made arithmetic errors.
Translating Word Problems to Linear Equations
Converting a real-world scenario into algebraic expressions and equations to solve for an unknown quantity.
- Identify the unknown variable(s).
- Represent quantities using these variables.
- Formulate an equation based on the relationships described in the problem.
Memory trick: Read, define, equate, solve, check.