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Can anyone help me with some Algebra 2 problems?

02/18/2011

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Okay, so I am doing word problems for ACT prep class, and they are algebra 2, and I am confused. I'm going to type them out here, and hopefully someone will be able to help me.

1.) A rectangular garden is 10 ft wide and 12 ft long. A walk of uniform width surrounds the garden. If the total area of the garden and the walk is 168 ft^2, what is the width of the walk?

2.) The area of a rectangular card is 128 cm^2. The length of the card is twice its width. What are the dimensions of the card?

3.) A rocket is launched from ground level with an initial velocity of 224 ft/s. When will the rocket reach a height of 528 ft?

4.) The sum of the number of A's and B's on a math test is 15. There are more B's than A's, and the sum of the squares of the two numbers is 113. Find the number of A's and the number of B's.

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It's been awhile since algebra for me, but I still could remember how to do the easy ones like #2 and #3.

#2.
(x)(2x) = 128
2x^2= 128
x^2=64
x=8
Length = 16cm
Width = 8cm

#3 (This one is easier to show you if I write on paper. Write it on paper if you have trouble following.)

224 feet/ 1 sec = 528 feet / x

Feets cancel out eachother.

224/1 sec = 528/x

Cross

224x = 528 sec
x = 528/224 sec
x = 2.357 seconds (if your teacher wants the answer in decimals)

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