For each of the written statements below write the statement in symbolic notation.

Problem 4

This is the same as 25n^2 = n+3 if you want to square out the (5n)^2 term.

Work Shown:

n = some number

5n = five times a number

(5n)^2 = 25n^2 = squaring five times a number

n+3 = three more than a number

Problem 5

Work Shown:

c = number of cookies Monica starts with

c-7 = amount she has left after giving seven to her sister

(c-7)/2 = cut that new amount in half

(c-7)/2 = 5 since the final amount is five

The equation (c-7)/2 = 5 is the same as c-7 = 10 when you multiply both sides by 2.

Problem 5

Work Shown:

n = some integer

2n = some even integer

2n+2 = next even integer right after 2n

2n+4 = next even integer right after 2n+2

2n+6 = next even integer right after 2n+4

Sum up those integers mentioned and set that sum equal to -28 to get

(2n)+(2n+2)+(2n+4)+(2n+6) = -28

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.