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Algebra 2 PAP
Unit 14 Test Review
Calculator allowed on all problems. Initial setup of each problem and a calculator ready form
must be shown. You will need to study the day 1 and day 2 application problems assigned in
class, the Transformations of Rational functions worksheet, and your permutations/combination
notes from class.
1. The area of a triangle is 26 square feet. Define the height of the triangle in terms of the base.
h=52/b
2. CHHS PALS will be selling t-shirts to raise money for the Sadie Hawkins dance. Short sleeve tshirts cost the school $8 each and are sold for $11 each. Long sleeve t-shirts cost the school $10 each
and are sold for $16 each. The school spends a total of $3900 on t-shirts and sells all of them for
$5925. How many of each did they sell? Write the system of equations and calculator ready form.
SS 175; LS 250
3900=8x+10y and 5925=11x+16y
y=390-4/5x and y=5925/16-11/16x
3. On a certain river, a motorboat can travel 34 miles per hour with the current and 28 miles per hour
against the current. Find the speed of the motorboat in still water and the speed of the current.
still water 31m/hr and current 3m/hr
4. The height of an object projected straight up or down can be found using the formula:
h(t )   gt 2  v0 t  h0
where g = half the force of gravity, 16ft/s or 4.9 m/s (on Earth), v0  initial velocity,
h0  initial height, and t = time.
An object is launched straight up at 28 m/s from a 65 meter tall platform. What is the object’s
maximum height and at exactly how many seconds does the object reach maximum height?
105m at 2.857 seconds
5. Write a quadratic function in general form for a parabola that passes through the points (-6, -1),
(-3, -4), and (3, 8). Write the system of equations and give solution.
-1=a(-6)2+b(-6)+c
-4=a(-3)2+b(-3)+c
8=a(3)2+b(3)+c
1/3x2+2x-1; (.464,0) and (-6.464,0)
6. You are making a rectangular box out of a piece of cardboard where the length is 3 inches longer
than the width. The box will be formed by making a 2-inch cut from each corner and folding up the
sides. You want the box to have the greatest volume possible. Write an equation to maximize the
volume of the box. Do not solve.
V=2w2-10w+8
7. Using the formula A  Pe rt , determine the amount of money you will have after 10 years if you
initially deposit $1,500 into an account which pays 2% annual interest compounded continuously.
$1832.104
8. Graph the function f ( x) 
9. Divide the expression
1
( x  1) 2
5x  8
then use the answer to rewrite the expression as a sum.
x2
18/(x-2) + 5
Graph the expression above.
10. Find the number of permutations or combinations for each part below:
a.
360
6
P4
b.
45
10
C2
11. Determine the number of different license plates that are possible when the digits and letters are
NOT repeated for : 2 letters followed by 3 digits
468,000
12. Determine the number of possible 5-card hands that contain 3 spades or 1 other card.
14014