All PSAT Math Resources
Example Questions
Example Question #41 :Equations / Inequalities
Give the solution to the system of equations below.
No solution
Solve the second equation for, allowing us to solve using the substitution method.
Substitute forin the first equation, and solve for.
Now, substitute forin either equation; we will choose the second. This allows us to solve for.
Now we can write the solution in the notation, or.
Example Question #1 :Describing Roles Of Variables And Constants
Hannah is selling candles for a school fundraiser all fall. She sets a goal of sellingcandles per month. The number of candles she has remaining for the month can be expressed at the end of each week by the equations, where是the number of candles and是the number of weeks she has sold candles this month. What is the meaning of the valuein this equation?
The number of candles that she sells each week.
The number of weeks that she has sold candles this month.
The number of candles she has remaining for the month.
The number of candles that she has sold thus far that week.
The number of candles that she sells each week.
Since we know thatstands for weeks, the answer has to have something to do with the weeks. This eliminates "the number of candles she has remaining for the month." Also, we can eliminate "the number of weeks that she has sold candles this month" because that would be our value for, not what we'd multiplyby. The correct answer is, "the number of candles that she sells each week."