Question

Can anyone help me out on these two word problems?
17. ) I am thinking of two integers. One is 7 less than a number, and the other is 2 greater than the same number.
a) write expressions for the two numbers.
b) write a polynomial expression for the product of the numbers.

18.) Monica's current office is square. Her office in the company's new building will be 3 feet wider and 5 feet longer.
a) write an expression for the dimensions of Monica's new office.
b) write a polynomial expression for the area of Monica's new office.
c) Suppose Monica's current office is 7 feet by 7 feet. How

Answer 1

How much larger will her new office be?*

Answer 2

for #17) let x be the number

one is 7 less than x so one number would be x - 7

the other is 2 greater than x so the other number would be x+2

so the two integers are x - 7 and x + 2

does that help?

Answer 3

for #18)

let l be the original length of her office and w is the width of her original office

the new office is 3 feet wider so w + 3

the new office is also 5 feet longer so l + 5

so the dimensions of her office will be w+ 3 by l + 5

does that help?

Answer 4

idk if this is right but for the first one i got the two equations
x-7=y
y+2=x

if you use substitution for these systems you get
2(x-7) = x
then do that and you get x=14
plug it in to get y and y=7
so yeah there you go idk how you put that in the so called polynomial expression

Answer 5

Thanks Ya'll.