Spiral #1
Advanced Alg/Pre-Calculus
20 points possible
Name______________________________ Block_______
Due Date___________________________
Show all work. Circle your final answer. This assignment is graded for accuracy. Remember that it’s helpful to draw a
picture!
1. The perimeter of a triangular plot of land is 2400 ft. The longest side is 200 ft less than twice the shortest
side. The middle side is 200 ft less than the longest side. Find the lengths of the three sides of the triangular
plot.
2. A shopping center has a rectangular area of 40,000
enclosed on three sides for a parking lot. The length
is 200 yd more than twice the width. What are the dimensions of the lot?
3. A kite is flying on 50 ft of string. Its vertical distance from the ground is 10 ft more than its horizontal
distance from the person flying it. Assuming that the string is being held at ground level, find its horizontal
distance from the person and its vertical distance from the ground.
4. Marya and Edgar are traveling to a business conference. The trip takes 2 hours for Maria and 2.5 hours for
Eduardo, since he lives 40 miles farther away. Eduardo travels 5 mph faster than Maria. Find the rate (in
mph) at which Maria traveled. (Hint:
)
5. A can of kidney beans has a surface area of 371
top of the can? Round to the nearest thousandth.
Its height is 12 cm. What is the radius of the circular
6. A ball is dropped from a height of 100 ft. The height of the ball seconds after it is dropped is given by the
function ( )
a) Find ( ) and interpret it.
b) At what time will the ball hit the ground? (Hint: what is the height of the ball when it is on the ground?)
7. A ladder leans against a wall. The top of the ladder is 6 feet above the ground and the bottom of the ladder
is 3 feet away from the wall. How long is the ladder?
8. Emily wants to buy a rug for a room that is 12 ft wide and 15 ft long. She wants to leave a uniform strip of
floor around the rug. She can afford to buy 108
of carpeting. What dimensions should the rug have?
9. Suppose that
represents one of two positive numbers whose sum is 30.
a) Represent the other number in terms of .
b) What are the restrictions on x ?
c) For what two such numbers is the product equal to 104?
10. The perimeter, x, of a square with side of length s is given by the formula
a) Solve for s in terms of x.
b) If y represents the area of this square, write y as a function of x.
c) Find the area of a square with perimeter 6.
.