1.) the sum of two numbers is 33. one number is 2 times as large as the other. what are the numbers?
a.) larger number:
b.) smaller number:

2.) bill will rent a car for the weekend. he can choose one of two plans. the first plan has an initial fee of $57 and costs an additional $0.15 per mile driven. the second plan has an initial fee of $50 and costs an additional $0.20 per mile driven.
a.) for what amount of driving do the two plans cost the same?
b.) what is the cost when the two plans cost the same?

3.) the length of a rectangle is 4ft. longer than its width.
if the perimeter of the rectangle is 72ft., find its length and width.
a.) length:
b.) width:

4.) carmen is saving money to buy a bike that costs $133.she has $42
and will save an additional $7 each week. in how many weeks will she have enough money to buy the bike?

5.) the area of a rectangular garden is 7426m. if the length of the garden is 94m, what is its width?
a.) the width of the garden?

6.) the perimeter of a rectangular window is 266cm. if the width of the window is 51 cm. , what is its length?
a.) the length of the window?