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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
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