1. A hat store tracks the state of college and professional team hats for m, months. The number of college hats sold is represented by (6m+3). The number of professional hats sold is represented by
(5m-2). Write an expressions to show how many more college hats were sold than professional hats.
Then evaluate the expression if m equals 10.
NYS
2. Which expression is equivalents to the expression -3(4x-2)-
2x ? Explain the process you used to find your solution.
A. -8x
B. -16%
C. -14x-2
D. -14x + 6
3. A square scrapbooking page has a perimeter of (8x+20) inches. What is the length of one side of the
scrapbooking page? Show your work.

1)  The expression representing how many more college hats were sold than professional hats is

when  , more college hats were sold

2)  The equivalent expression to is . The explanation is found in the steps below

3) The length of one side of the square scrapbooking page will be

. The working is shown below.

1)    According to the question, is the number of months hats were sold.

is the number of college hats sold in months

is the number of professional hats sold in months

Since when

the expression representing how many more college hats were sold than professional hats is

when the number of months hats were sold is , , and

more college hats were sold in months

2)  To get the equivalent expression to , carry out the steps below

remove brackets

arrange like terms

simplify like terms

The answer is (D)

3)  Let the length of one side of the square be

The perimeter will be  

making the subject of the formula

Learn more about word problems here:

- (2, -7)

- lines r and s and lines t and u must be parallel