*Don't start trying to solve anything when you've only read half a sentence.*Try first to get a feel for the whole problem; try first to see what information you have, and then figure out what you still need. Figure out what you need but don't have, and name things. And make sure you know just exactly what the problem is actually asking for.

*Don't start trying to solve anything when you've only read half a sentence.*Try first to get a feel for the whole problem; try first to see what information you have, and then figure out what you still need. Figure out what you need but don't have, and name things. And make sure you know just exactly what the problem is actually asking for.

We will call the smaller integer n, and so the larger integer must be n 2 And we are told the product (what we get after multiplying) is 168, so we know: n(n 2) = 168 We are being asked for the integers Solve: That is a Quadratic Equation, and there are many ways to solve it.

Using the Quadratic Equation Solver we get −14 and 12.

We know there are seven days in the week, so: d e = 7 And she trains 27 hours in a week, with d 5 hour days and e 3 hour days: 5d 3e = 27 We are being asked for how many days she trains for 5 hours: d Solve: The number of "5 hour" days is 3 Check: She trains for 5 hours on 3 days a week, so she must train for 3 hours a day on the other 4 days of the week.

3 × 5 hours = 15 hours, plus 4 × 3 hours = 12 hours gives a total of 27 hours So Joel’s normal rate of pay is $12 per hour Check Joel’s normal rate of pay is $12 per hour, so his overtime rate is 1¼ × $12 per hour = $15 per hour.

— and, trust me, you don't want to do this to yourself! Certain words indicate certain mathematica operations. But the order in addition doesn't matter, so it's okay to add backwards, because the result will be the same either way.) Also note that order is important in the "quotient/ratio of" and "difference between/of" constructions.

If a problems says "the ratio of Some times, you'll be expected to bring your "real world" knowledge to an exercise.

Check −14: −14(−14 2) = (−14)×(−12) = 168 YES Check 12: 12(12 2) = 12×14 = 168 YES So there are two solutions: -14 and -12 is one, 12 and 14 is the other.

Note: we could have also tried "guess and check": And so L = 8 or −14 There are two solutions to the quadratic equation, but only one of them is possible since the length of the room cannot be negative!

Tags: mixture, solution Given an initial principal amount, interest rate on Fund 1, interest rate on Fund 2, and a total interest paid, calculates the amount invested in each fund.

Features: Calculator | Practice Problem Generator Tags: interest, principal Determines the sum of the first (n) * Whole Numbers * Natural Numbers * Even Numbers * Odd Numbers * Square Numbers * Cube Numbers * Fourth Power Numbers Features: Calculator | Quiz Generator | Practice Problem Generator | Watch the Video Examples (5): sum of the first 9 natural numbers, what is the sum of the first 10 cube numbers, show sum of the first 10 square numbers, sum first 15 even numbers, sum first 18 odd numbers Tags: shortcut sums, sum of integers Given Person or Object A doing a job in (r) units of time and Person or Object B doing a job in (s) units of time, this calculates how long it would take if they combined to do the job.

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