Warm-UpWarm-Up

1. Solve the following:

2. Find the roots of the following: 6x2+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.

24323 x

JeopardyJeopardy

$100

PolynomialsReview

RadicalExpressions

Quad. Form./Complete Sq.

Solve by Factoring

Solving Radical

$200

$300

$400

$500 $500

$400

$300

$200

$100

$500

$400

$300

$200

$100

$500

$400

$300

$200

$100

$500

$400

$300

$200

$100

Final JeopardyFinal Jeopardy

Polynomials ReviewPolynomials Review - $100 - $100

Factor completely 4xFactor completely 4x22 - 100 - 100

4(x-5)(x+5)4(x-5)(x+5)

Polynomials Review Polynomials Review - $200- $200

Find the perimeter of the rectangle

P = 8x - 24P = 8x - 24

X - 7

3X - 5

Polynomials ReviewPolynomials Review - $300 - $300

The number of students at East Meck in 2013 can be modeled by the expression 3x2 –2 x + 7. In 2000, the number of students can be modeled by the expression 2x2 - 15. Find an expression that models how many more students there were in 2013 than 2000.

XX22 - 2x + 22 - 2x + 22

Polynomials ReviewPolynomials Review - $400 - $400

Simplify: (x +2)3

XX33 + 6x + 6x22 + 12x + 8 + 12x + 8

Polynomials ReviewPolynomials Review - $500 - $500

Both: wBoth: w22 + 22w + 112 + 22w + 112 Pool: wPool: w22 + 6w + 6w Sidewalk: 16w + 112Sidewalk: 16w + 112

Radical ExpressionsRadical Expressions - $100 - $100

Simplify the following: Simplify the following:

14 + 5i14 + 5i

)4)(23( ii

Radical ExpressionsRadical Expressions - $200 - $200

Simplify the following Simplify the following (rationalize):(rationalize):

3

5

5

125

m

m

Radical ExpressionsRadical Expressions - $300 - $300

Rationalize the following: Rationalize the following:

1120

3

Radical ExpressionsRadical Expressions - $400 - $400

Simplify the following: Simplify the following: 333 75227448

Radical ExpressionsRadical Expressions - $500 - $500

The length of a rectangular prism is , and height of . Which expression would make the volume irrational? A. B. C. D. 502 124 85 187

34

63

Quadratic Quadratic Formula/Complete the Formula/Complete the

Square - $100Square - $100Find 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.

Quadratic Quadratic Formula/Complete the Formula/Complete the

Square - $200Square - $200Solve using the square root property: 2x2 + 68 = 0

X=±i√34X=±i√34

Quadratic Quadratic Formula/Complete the Formula/Complete the

Square - $300Square - $300 Find the zeros of the following: x2 - 3x + 5

= 0

X=X=3±i√113±i√11

22

Quadratic Quadratic Formula/Complete the Formula/Complete the

Square - $400Square - $400 Write an equation for which this equation

is the solution ?

3x3x22+2x-5=0+2x-5=0

6

53442 x

Quadratic Quadratic Formula/Complete the Formula/Complete the

Square - $500Square - $500 Solve by completing the square: Solve by completing the square: 2x2 +

12x = 14

X=-3±4X=-3±4 x=1,-7x=1,-7

Solve by Factoring - $100Solve by Factoring - $100

Find the roots of the following: x2 – 4x – 12 = 0

X = 6, -2X = 6, -2

Solve by Factoring - $200Solve by Factoring - $200

A rectangle has an area of x2 + 3x - 10. Find the dimensions of the rectangle, then find its perimeter.

(x +5),(x -2) (x +5),(x -2) P = 4x + 6P = 4x + 6

Solve by Factoring - $300Solve by Factoring - $300

What is the length of one side of a square with an area of 16x2 + 8x + 1?

4x + 14x + 1

Solve by Factoring - $400Solve by Factoring - $400

Find the zeros of the following: 4x2 + 4x -15 = 0

X = -5/2, 3/2X = -5/2, 3/2

Solve by Factoring - $500Solve by Factoring - $500

Given that (x - 3) is a factor of this trinomial 2x2 + 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 DD

Solving Radical Solving Radical - $100 - $100

Solve the following: Solve the following:

X=4X=4

11357 xx

Solving Radical Solving Radical - $200- $200

Simplify the following: Simplify the following:

210√5210√5

353285

Solving Radical Solving Radical - $300- $300

Simplify the following: Simplify the following:

8+2√158+2√15

253

Solving Radical Solving Radical - $400- $400

Solve the following: Solve the following:

X=122X=122

10323 x

Solving Radical Solving Radical - $500- $500

Solve the following: Solve the following:

x=2, x=-5 extraneousx=2, x=-5 extraneous

111 xx

Final JeopardyFinal Jeopardy Ciera is trying to construct a rectangular Ciera is trying to construct a rectangular

card box. card box. Sum of the dimensions of the box are 9 Sum of the dimensions of the box are 9

in.in. Length of the box will be two times the Length of the box will be two times the

heightheight Ciera wants to maximize the volume.Ciera wants to maximize the volume.

Which of the following heights would Which of the following heights would maximize the volume.maximize the volume.

22 33 44 55H = 2H = 2