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Warm-Up 1. Solve the following: 2. Find the roots of the following: 6x 2 +7x=-2 3. You want to know the volume of a box. You know that the width is 2.

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Presentation on theme: "Warm-Up 1. Solve the following: 2. Find the roots of the following: 6x 2 +7x=-2 3. You want to know the volume of a box. You know that the width is 2."— Presentation transcript:

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2 Warm-Up 1. Solve the following: 2. Find the roots of the following: 6x 2 +7x=-2 3. You want to know the volume of a box. You know that the width is 2 feet less than the height, and the length is 6 feet more than the height. Write a polynomial expression, in simplest form, that represents the volume of the box.

3 Jeopardy $100 Polynomials Review Radical Expressions Quad. Form./ Complete Sq. Solve by Factoring Solving Radical $200 $300 $400 $500 $400 $300 $200 $100 $500 $400 $300 $200 $100 $500 $400 $300 $200 $100 $500 $400 $300 $200 $100 Final Jeopardy Final Jeopardy

4 Polynomials Review - $100 Factor completely 4x 2 - 100 Factor completely 4x 2 - 100 4(x-5)(x+5)

5 Polynomials Review - $200 Find the perimeter of the rectangle P = 8x - 24 X - 7 3X - 5

6 Polynomials Review - $300 The number of students at East Meck in 2013 can be modeled by the expression 3x 2 –2 x + 7. In 2000, the number of students can be modeled by the expression 2x 2 - 15. Find an expression that models how many more students there were in 2013 than 2000. X 2 - 2x + 22

7 Polynomials Review - $400 Simplify: (x +2) 3 X 3 + 6x 2 + 12x + 8

8 Polynomials Review - $500 Both: w 2 + 22w + 112 Both: w 2 + 22w + 112 Pool: w 2 + 6w Pool: w 2 + 6w Sidewalk: 16w + 112 Sidewalk: 16w + 112

9 Radical Expressions - $100 Simplify the following: Simplify the following: 14 + 5i

10 Radical Expressions - $200 Simplify the following (rationalize): Simplify the following (rationalize):

11 Radical Expressions - $300 Rationalize the following: Rationalize the following:

12 Radical Expressions - $400 Simplify the following: Simplify the following:

13 Radical Expressions - $500 The length of a rectangular prism is, and height of. Which expression would make the volume irrational? A. B. C. D.

14 Quadratic Formula/Complete the Square - $100 Find the error in the problem below. Write a sentence explaining what the student did incorrectly. Didn’t add 121/4 to both sides. Didn’t add 121/4 to both sides.

15 Quadratic Formula/Complete the Square - $200 Solve using the square root property: 2x 2 + 68 = 0 X=±i√34 X=±i√34

16 Quadratic Formula/Complete the Square - $300 Find the zeros of the following: x 2 - 3x + 5 = 0 X=3±i√11 X=3±i√11 2

17 Quadratic Formula/Complete the Square - $400 Write an equation for which this equation is the solution ? 3x 2 +2x-5=0 3x 2 +2x-5=0

18 Quadratic Formula/Complete the Square - $500 Solve by completing the square: Solve by completing the square: 2x 2 + 12x = 14 X=-3±4x=1,-7

19 Solve by Factoring - $100 Find the roots of the following: x 2 – 4x – 12 = 0 X = 6, -2

20 Solve by Factoring - $200 A rectangle has an area of x 2 + 3x - 10. Find the dimensions of the rectangle, then find its perimeter. (x +5),(x -2) P = 4x + 6

21 Solve by Factoring - $300 What is the length of one side of a square with an area of 16x 2 + 8x + 1? 4x + 1

22 Solve by Factoring - $400 Find the zeros of the following: 4x 2 + 4x -15 = 0 X = -5/2, 3/2

23 Solve by Factoring - $500 Given that (x - 3) is a factor of this trinomial 2x 2 + 7x + k. What would the other factor have to be? Also what is the k value? A. 2x-4 B. 2x+1 C. 2x+10 D. 2x+13 D

24 Solving Radical - $100 Solve the following: Solve the following: X=4

25 Solving Radical - $200 Simplify the following: Simplify the following: 210√5

26 Solving Radical - $300 Simplify the following: Simplify the following: 8+2√15

27 Solving Radical - $400 Solve the following: Solve the following: X=122

28 Solving Radical - $500 Solve the following: Solve the following: x=2, x=-5 extraneous

29 Final Jeopardy Ciera is trying to construct a rectangular card box. Ciera is trying to construct a rectangular card box. Sum of the dimensions of the box are 9 in. Sum of the dimensions of the box are 9 in. Length of the box will be two times the height Length of the box will be two times the height Ciera wants to maximize the volume. Ciera wants to maximize the volume. Which of the following heights would maximize the volume. Which of the following heights would maximize the volume. 2345 H = 2


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