Evaluate each expression for p=-4, q=8, and r=-10. 5r / 2p-3r

Question

Accepted Answer

Hello, today we're gonna be simplifying the given expression using the given values. So what we are given is 12 times N over four times M minus five times O. And we are told that M is equal to negative nine, N is equal to positive one and O is equal to negative 14. Now, in order to simplify this expression, let's first substitute in the values for MN and O and doing this is going to give us 12 times N which is going to be 12 times one over the quantity four times M which is four times negative nine minus five times O which is five times negative 14. So in order to simplify the numerator, we just have to multiply 12 in one together. And that's just going to give us positive 12 in the denominator, four times negative nine is going to give us negative 36 and negative five times negative 14 is going to give us positive 70. So making these substitutions is going to give us 12 over negative 36 plus 70. And then in the in the denominator negative 36 plus 70 is going to give us positive 34. So we have 12/34. And for the final si simplification, 12 and 34 are both divisible by two. So if we divide both the numerator and denominator by two, what we are left with is 6/17. And this is going to be the completely simplified form of the original expression. And with that being said, the answer to this problem is going to be c so I hope this video helps you in understanding how to approach this problem. And I'll go ahead and see you all in the next video.

Evaluate each expression for p=-4, q=8, and r=-10. 5r / 2p-3r

Key Concepts

Substitution

Order of Operations

Rational Expressions

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