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Add and Subtract Polynomials Exponent Rules Scientific Notation Area Final Jeopardy Jeopardy Board

BoardAnswer Add and Subtract Polynomials (2x 2 + 5x) + (7x 2 + 3x + 11)

Board Add and Subtract Polynomials (2x 2 + 5x) + (7x 2 + 3x + 11) Since you are adding the two polynomials the parentheses mean nothing 2x 2 + 5x + 7x 2 + 3x + 11 Combine like terms 9x 2 + 8x + 11

BoardAnswer Add and Subtract Polynomials (x 2 + 8x – 11) + (x 3 + 3x )

Board Add and Subtract Polynomials (x 2 + 8x – 11) + (x 3 + 3x ) Since you are adding the two polynomials the parentheses mean nothing x 2 + 8x – 11 + x 3 + 3x Combine like terms x3x3 + 4x 2 + 8x + 0 x 3 + 4x 2 + 8x

BoardAnswer Add and Subtract Polynomials (2x 2 – 5x 3 ) – (7x 3 – 2x )

Board Add and Subtract Polynomials (2x 2 – 5x 3 ) – (7x 3 – 2x ) Since you are subtracting the two polynomials the parentheses are very important 2x 2 – 5x 3 – 7x 3 + 2x 2 – 11 Combine like terms -12x 3 + 4x 2 – 11 These signs must change

BoardAnswer Add and Subtract Polynomials (9x 2 – 5x) – (x 3 – 2x 2 + x – 4)

Board Add and Subtract Polynomials (9x 2 – 5x) – (x 3 – 2x 2 + x – 4) Since you are subtracting the two polynomials and multiplying the first by 3, the parentheses are very important 27x 2 – 15x – x 3 + 2x 2 – x + 4 Combine like terms -x x 2 – 16x These signs must changeDistribute the 3 + 4

BoardAnswer Add and Subtract Polynomials (x + 3) + (7x 2 – 5x) – (3x 3 – x 2 – 4x – 6)

Board Add and Subtract Polynomials (x + 3) + (7x 2 – 5x) – (3x 3 – x 2 – 4x – 6) Since you are adding the first two polynomials the parentheses mean nothing. x x 2 – 5x Combine like terms -3x 3 + 8x 2 + 0x These signs must change + 9 However, you are subtracting the third so the parentheses are very important – 3x 3 + x 2 + 4x x 3 + 8x 2 + 9

BoardAnswer Exponent Rules (x 3 )(x 2 )

Board Exponent Rules (x 3 )(x 2 ) x 3 = x  x  x x 2 = x  x (x 3 )(x 2 ) = x  x  x  x  x = x5x5

BoardAnswer Exponent Rules (5x 5 )(7x 7 )

Board Exponent Rules (5x 5 )(7x 7 ) 5x 5 = 5  x  x  x  x  x 7x 7 = 7  x  x  x  x  x  x  x (5x 5 )(7x 7 ) = 5  x  x  x  x  x  7  x  x  x  x  x  x  x = 35x 12

BoardAnswer Exponent Rules - 300

Board Exponent Rules

BoardAnswer Exponent Rules - 400

Board Exponent Rules Option 1Option 2

BoardAnswer Exponent Rules - 500

Board Exponent Rules - 500

BoardAnswer Scientific Notation Rewrite in scientific notation 23,000,000

Board Scientific Notation Rewrite in scientific notation 23,000, The decimal is at the end of a whole number  In scientific notation the decimal goes after the first digit.  You need to know how many place values you have to move the decimal = 2.3 x 10 7

BoardAnswer Scientific Notation Rewrite in scientific notation

Board Scientific Notation Rewrite in scientific notation You can see where the decimal is In scientific notation the decimal goes after the first digit.  You need to know how many place values you have to move the decimal = 3.45 x 10 -4

BoardAnswer Scientific Notation Rewrite in standard form 8.76 x 10 4

Board Scientific Notation Rewrite in standard form 8.76 x Move the decimal 4 places Add two zeros 00= 87,600 

BoardAnswer Scientific Notation Rewrite in standard form x 10 -5

Board Scientific Notation Rewrite in standard form x Move the decimal 5 places Add four zeros = 

BoardAnswer Scientific Notation Multiply, write in scientific notation (2.6 x 10 5 ) (3.1 x 10 6 )

Board Scientific Notation Multiply, write in scientific notation (2.6 x 10 5 ) (3.1 x 10 6 ) Multiply the numbers and add the exponents (2.6 x 10 5 ) (3.1 x 10 6 ) = 8.06 x 10 11

BoardAnswer Area What is the product when you multiply 4x 3 y 2 and 3x 4 y

Board Area What is the product when you multiply 4x 3 y 2 and 3x 4 y 4x 3 y 2 = 4  x  x  x  y  y 3x 4 y = 3  x  x  x  x  y 4x 3 y 2  3x 4 y = 4  x  x  x  y  y  3  x  x  x  x  y 12x 7 y 3

BoardAnswer Area Find the area of the rectangle 5x 3 7x 4

Board Area Find the area of the rectangle 5x 3 7x 4 A = L  W A = 7x 4  5x 3 A = 35x 7 A = 7xxxx  5xxx

BoardAnswer Area Find the area of the triangle 6x 3 3x 2 y 5

Board Area Find the area of the triangle 6x 3 3x 2 y 5

BoardAnswer Area Find the length of the rectangle Area = 24x 6 3x 4 L

Board Area Find the length of the rectangle Area = 24x 6 3x 4 L Fill in the blank 3x 4  = 24x 6 8x 2 = 8x 2

BoardAnswer Area Find the base of the triangle 6x A = 3x 2 y 5 b

Board Area Find the base of the triangle 6x A = 3x 2 y 5 b Fill in the blank xy 5

Final Jeopardy Category Board

Final Jeopardy Question Answer Find the area of the rectangle 5x 2 Perimeter is 40x 2

Final Jeopardy Question Find the area of the rectangle 5x 2 Perimeter is 40x 2 If the perimeter is 40x 2, what is the length? 5x 2 5x 2 + 5x 2 = 10x 2 So the other 2 sides add up to 30x 2 15x 2 Area = length times width Area = 15x 2  5x 2 Area = 75x 4