Evaluate each expression for p = -4, q = 8, and r = -10. See E...

Question

Evaluate each expression for p = -4, q = 8, and r = -10. See Example 6. (q + r)/ (q + p)

Accepted Answer

Hello, everyone. We are asked to substitute the given values of W equals negative five, X equals six and Y equals negative two in the expression below and evaluate the expression we are given is the parentheses five, W minus nine X divided by the parentheses. Four, W plus 11 Y, our answer choices are a 79 divided by 42 B negative 79 divided by 42 C 42 divided by D negative 42 divided by 79. First, I'm going to rewrite our expression as a fraction. So I have less grouping symbols. So I have five, W minus nine, X as my numerator and four W plus 11, Y as my denominator. Now, I'm going to plug in the values for the variables. So we have five multiplied by W we are told W is negative five minus nine, multiplied by X. We are told X is six and we're dividing that by four multiplied by W which is negative five plus 11, multiplied by yy is negative two. So we have five multiplied by negative five minus nine, multiplied by six, divided by four multiplied by negative five plus 11. Multiplied by negative two. Now I'm going to do out all of the multiplication. So five multiplied by negative five is negative negative nine, multiplied by six is negative 54. In the denominator four, multiplied by negative five is negative 20 11, multiplied by negative two is negative 22. So now I want to combine my like terms and my numerator. So negative 25 minus 54 we give us a negative 79 in our denominator. Negative 20 minus 22 is negative 42. I know that when I have division and a negative divided by a negative, that is the same as a positive. So I can rewrite this as 79 divided by and quickly checking to see if this can be reduced by anything else. And I don't believe it can. So 79 divided by 42 is our answer and it's answer choice. A have a nice day.

Evaluate each expression for p = -4, q = 8, and r = -10. See Example 6. (q + r)/ (q + p)

Key Concepts

Substitution of Variables

Order of Operations

Basic Arithmetic Operations

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