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### Let’s Get Ready

To Play Some . . .

Jeopardy Board

Final Jeopardy

Add and Subtract Polynomials - 100

(2x2 + 5x) + (7x2 + 3x + 11)

Since you are adding the two polynomials the parentheses mean nothing

2x2 + 5x + 7x2 + 3x + 11

Combine like terms

9x2

+ 8x

+ 11

Board

Add and Subtract Polynomials - 200

(x2 + 8x – 11) + (x3 + 3x2 + 11)

Since you are adding the two polynomials the parentheses mean nothing

x2 + 8x – 11 + x3 + 3x2 + 11

Combine like terms

x3

+ 4x2

+ 8x

+ 0

x3 + 4x2 + 8x

Board

Add and Subtract Polynomials - 300

These signs must change

(2x2 – 5x3) – (7x3 – 2x2 + 11)

Since you are subtracting the two polynomials the parentheses are very important

2x2 – 5x3 – 7x3 + 2x2 – 11

Combine like terms

-12x3

+ 4x2

– 11

Board

Add and Subtract Polynomials - 400

Distribute the 3

These signs must change

3(9x2 – 5x) – (x3 – 2x2 + x – 4)

Since you are subtracting the two polynomials and multiplying the first by 3, the parentheses are very important

27x2 – 15x – x3 + 2x2 – x + 4

Combine like terms

-x3

+ 29x2

– 16x

+ 4

Board

Add and Subtract Polynomials - 500

These signs must change

(x + 3) + (7x2 – 5x) – (3x3 – x2 – 4x – 6)

x + 3 + 7x2 – 5x

– 3x3 + x2 + 4x + 6

Since you are adding the first two polynomials the parentheses mean nothing.

Combine like terms

-3x3

+ 8x2

+ 0x

+ 9

-3x3 + 8x2 + 9

However, you are subtracting the third so the parentheses are very important

Board

Exponent Rules - 200

(5x5)(7x7)

5x5 = 5 x x x x x

7x7 = 7 x x x x x x x

(5x5)(7x7) = 5 x x x x x 7 x x x x x x x=

35x12

Board

Exponent Rules - 500

Board

Scientific Notation - 100

Rewrite in scientific notation

23,000,000

The decimal is at the end of a whole number

23 000 000

= 2.3 x 107

In scientific notation the decimal goes after the first digit.

You need to know how many place values you have to move the decimal

Board

Scientific Notation - 200

Rewrite in scientific notation

0.000345

You can see where the decimal is

0.000345

= 3.45 x 10-4

In scientific notation the decimal goes after the first digit.

You need to know how many place values you have to move the decimal

Board

Scientific Notation - 300

Rewrite in standard form

8.76 x 104

8.76

00

= 87,600

Move the decimal 4 places

Add two zeros

Board

Scientific Notation - 400

Rewrite in standard form

2.0406 x 10-5

0000

2.0406

= 0.000020406

Move the decimal 5 places

Add four zeros

Board

Scientific Notation - 500

Multiply, write in scientific notation

(2.6 x 105) (3.1 x 106)

Multiply the numbers and add the exponents

(2.6 x 105) (3.1 x 106) = 8.06 x 10 11

Board

Area - 100

What is the product when you multiply 4x3y2 and 3x4y

4x3y2 = 4 x x x y y

3x4y= 3 x x x x y

12x7y3

4x3y23x4y = 4 x x x y y 3 x x x x y

Board

Final Jeopardy Question

Find the area of the rectangle

5x2 + 5x2 = 10x2

15x2

5x2

5x2

So the other 2 sides add up to 30x2

15x2

Area = length times width

Perimeter is 40x2

Area = 15x2 5x2

If the perimeter is 40x2,

what is the length?

Area = 75x4

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