Center #1. 3. There is a rectangular room whose length is 8 times its width. The area of the room is 32 ft 2. Find the length of the room.

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1 Center #1 If the Income equation for the Raise the Bar Ballet Company is I(p)= 10p(52 2p) when p is the price of the tickets, what is the domain and range for this income equation? A squirrel is 24 feet high in a tree and drops a nut out of the tree with an initial velocity of 8 ft/sec. The nut s height, h, at time t seconds can be represented by the equation h(t)=-16t 2 + 8t + 2 How long will it take for the nut to hit the ground? There is a rectangular room whose length is 8 times its width. The area of the room is 32 ft 2. Find the length of the room. The product of two consecutive positive odd integers is 14 Find the integers. 5. The medium side of a right triangle is 7 more than the shortest side. The longest side is 7 less than 3 times the shortest side. Find the length of the shortest side of the triangle.

2 Center #2 If the Income equation for the Raise the Bar Ballet Company is I(p)= 10p(52 2p) when p is the price of the tickets. If the cost equation is C(p) = p. For what ticket price(s) would the ballet company be breaking even? An arrow is released from a bow with an upward velocity of 28 m/s and released from 6m. Fill in the height equation for the arrow: h(t) = -5t 2 + v o t + h o. Find the maximum height the arrow attains in the sky and find how long it takes to reach this point. The length of a rectangular room is 2 times the width. The area of the rectangular room is 72 in 2. Find the dimensions of the room. Find two consecutive even integers such that the square of the smaller is 10 more than the larger.

3 Center #3 If the Income equation for the Raise the Bar Ballet Company is I(p)= 10p(52 2p) when p is the price of the tickets. If the cost equation is C(p) = p. For what ticket price(s) would the ballet company be making a profit? The volcano in Hawaii erupted in 1959 shooting lava in the air modeled by h = -16t t. Find the two times when the lava is 1500 feet high. (HINT: put Y 2 =1500 and do intersection) Use intersection to solve for 2 possible values of x. x + 5 = HINT: Put left side in Y1= Put right side in Y2= Do intersection. **Possible BONUS on the test if you can solve this by hand with paper and pencil methods. The product of two consecutive negative integers is 56. Find the integers. 5. The width of a rectangle is 11 inches less than its length. Find the dimensions of the rectangle if the area is 80 in 2.

4 Center #4 If the Income equation for the Raise the Bar Ballet Company is I(p)= 10p(52 2p) when p is the price of the tickets. If the cost equation is C(p) = p. What is the BEST ticket price to charge and what is the most income? A ball is thrown upwards from a rooftop, 80ft above the ground. It will reach a maximum vertical height and then fall back to the ground. The height of the ball from the ground at time t is h, which is given by h = -16t t What is the height of the ball after 3 seconds? A) 80 ft B) 128 ft C) 144 ft D) 0 ft Use intersection to solve for 2 possible values of x. -x + 2 = x 2 + x - 6 HINT: Put left side in Y1= Put right side in Y2= Do intersection. **Possible BONUS on the test if you can solve this by hand with paper and pencil methods. The product of two consecutive integers is five more than three times the larger. Find the integers.

5 Center #5 If the Income equation for the Raise the Bar Ballet Company is I(p)= 10p(52 2p) when p is the price of the tickets. If the cost equation is C(p) = p. For what ticket price(s) does the Ballet company lose money? A penny is dropped from the Washington Monument 555 feet in the air. Fill in the equation: h = -16t v o t + h o. How long does it take the penny to hit the ground? The following picture shows the shape of a rectangle from which a smaller rectangular part is removed. If the remaining shaded area of the larger rectangle is 35cm 2, find k. The product of two consecutive positive odd numbers is 99. Find the integers.

6 Center #6 Use f(x) = -4(x + 1)(x + 9) for the items on this page. What are the x-intercepts? Convert to standard form and identify the y-intercept Complete the square to convert to vertex form and identify the vertex. Also indicate if it is a maximum or a minimum. What is the axis of symmetry for the function? 5. A. Identify intervals over which the function above increases or decreases. B. Identify intervals over which the function below increases or decreases.

7 Quadratic Applications TEST REVIEW CENTERS NAME Center #1 Center #2 5. Center #3 Center #4 5.

8 Center #5 Center #6 5. A. 5. B.