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1.2 – Order of Operations

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Order of Operations 1.2 – Order of Operations

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Order of Operations Parentheses 1.2 – Order of Operations

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Order of Operations Parentheses Exponents 1.2 – Order of Operations

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Order of Operations Parentheses Exponents Multiplication 1.2 – Order of Operations

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Order of Operations Parentheses Exponents Multiplication Division 1.2 – Order of Operations

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Order of Operations Parentheses Exponents Multiplication Division Addition 1.2 – Order of Operations

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Order of Operations Parentheses Exponents Multiplication Division Addition Subtraction 1.2 – Order of Operations

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Order of Operations ParenthesesPlease Exponents Multiplication Division Addition Subtraction 1.2 – Order of Operations

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Order of Operations ParenthesesPlease ExponentsExcuse Multiplication Division Addition Subtraction 1.2 – Order of Operations

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Order of Operations ParenthesesPlease ExponentsExcuse MultiplicationMy Division Addition Subtraction 1.2 – Order of Operations

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Order of Operations ParenthesesPlease ExponentsExcuse MultiplicationMy DivisionDear Addition Subtraction 1.2 – Order of Operations

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Order of Operations ParenthesesPlease ExponentsExcuse MultiplicationMy DivisionDear AdditionAunt Subtraction 1.2 – Order of Operations

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Order of Operations ParenthesesPlease ExponentsExcuse MultiplicationMy DivisionDear AdditionAunt SubtractionSally 1.2 – Order of Operations

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Example 1

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Find the value of [2(10 - 4) 2 + 3] ÷ 5.

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Example 1 Find the value of [2(10 - 4) 2 + 3] ÷ 5. [2(10 - 4) 2 + 3] ÷ 5 =

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Example 1 Find the value of [2(10 - 4) 2 + 3] ÷ 5. [2(10 - 4) 2 + 3] ÷ 5 = [2(6) 2 + 3] ÷ 5

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Example 1 Find the value of [2(10 - 4) 2 + 3] ÷ 5. [2(10 - 4) 2 + 3] ÷ 5 = [2(6) 2 + 3] ÷ 5 [2(36) + 3] ÷ 5

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Example 1 Find the value of [2(10 - 4) 2 + 3] ÷ 5. [2(10 - 4) 2 + 3] ÷ 5 = [2(6) 2 + 3] ÷ 5 [2(36) + 3] ÷ 5 [72 + 3] ÷ 5

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Example 1 Find the value of [2(10 - 4) 2 + 3] ÷ 5. [2(10 - 4) 2 + 3] ÷ 5 = [2(6) 2 + 3] ÷ 5 [2(36) + 3] ÷ 5 [72 + 3] ÷ 5 75 ÷ 5

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Example 1 Find the value of [2(10 - 4) 2 + 3] ÷ 5. [2(10 - 4) 2 + 3] ÷ 5 = [2(6) 2 + 3] ÷ 5 [2(36) + 3] ÷ 5 [72 + 3] ÷ 5 75 ÷ 5 15

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Example 2

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Evaluate x 2 – y(x + y) if x = 8 and y = 1.5.

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Example 2 Evaluate x 2 – y(x + y) if x = 8 and y = 1.5. x 2 – y(x + y) =

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Example 2 Evaluate x 2 – y(x + y) if x = 8 and y = 1.5. x 2 – y(x + y) = 8 2 – 1.5(8 + 1.5)

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Example 2 Evaluate x 2 – y(x + y) if x = 8 and y = 1.5. x 2 – y(x + y) = 8 2 – 1.5(8 + 1.5) 8 2 – 1.5(8 + 1.5)

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Example 2 Evaluate x 2 – y(x + y) if x = 8 and y = 1.5. x 2 – y(x + y) = 8 2 – 1.5(8 + 1.5) 8 2 – 1.5(8 + 1.5) 8 2 – 1.5(9.5)

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Example 2 Evaluate x 2 – y(x + y) if x = 8 and y = 1.5. x 2 – y(x + y) = 8 2 – 1.5(8 + 1.5) 8 2 – 1.5(8 + 1.5) 8 2 – 1.5(9.5) 64 – 1.5(9.5)

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Example 2 Evaluate x 2 – y(x + y) if x = 8 and y = 1.5. x 2 – y(x + y) = 8 2 – 1.5(8 + 1.5) 8 2 – 1.5(8 + 1.5) 8 2 – 1.5(9.5) 64 – 1.5(9.5) 64 – 14.25

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Example 2 Evaluate x 2 – y(x + y) if x = 8 and y = 1.5. x 2 – y(x + y) = 8 2 – 1.5(8 + 1.5) 8 2 – 1.5(8 + 1.5) 8 2 – 1.5(9.5) 64 – 1.5(9.5) 64 – 14.25 49.75

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Example 3

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Evaluate a 3 + 2bc if a = 2, b = -4, and c = -3. c 2 – 5

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Example 3 Evaluate a 3 + 2bc if a = 2, b = -4, and c = -3. c 2 – 5 a 3 + 2bc = c 2 – 5

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Example 3 Evaluate a 3 + 2bc if a = 2, b = -4, and c = -3. c 2 – 5 a 3 + 2bc = 2 3 + 2(-4)(-3) c 2 – 5

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Example 3 Evaluate a 3 + 2bc if a = 2, b = -4, and c = -3. c 2 – 5 a 3 + 2bc = 2 3 + 2(-4)(-3) c 2 – 5 (-3) 2 – 5

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Example 3 Evaluate a 3 + 2bc if a = 2, b = -4, and c = -3. c 2 – 5 a 3 + 2bc = 2 3 + 2(-4)(-3) c 2 – 5 (-3) 2 – 5 = 8 + 2(-4)(-3)

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Example 3 Evaluate a 3 + 2bc if a = 2, b = -4, and c = -3. c 2 – 5 a 3 + 2bc = 2 3 + 2(-4)(-3) c 2 – 5 (-3) 2 – 5 = 8 + 2(-4)(-3) 9 – 5

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Example 3 Evaluate a 3 + 2bc if a = 2, b = -4, and c = -3. c 2 – 5 a 3 + 2bc = 2 3 + 2(-4)(-3) c 2 – 5 (-3) 2 – 5 = 8 + 2(-4)(-3) 9 – 5 = 8 + 24 9 – 5

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Example 3 Evaluate a 3 + 2bc if a = 2, b = -4, and c = -3. c 2 – 5 a 3 + 2bc = 2 3 + 2(-4)(-3) c 2 – 5 (-3) 2 – 5 = 8 + 2(-4)(-3) 9 – 5 = 8 + 24 9 – 5 = 32 4

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Example 3 Evaluate a 3 + 2bc if a = 2, b = -4, and c = -3. c 2 – 5 a 3 + 2bc = 2 3 + 2(-4)(-3) c 2 – 5 (-3) 2 – 5 = 8 + 2(-4)(-3) 9 – 5 = 8 + 24 9 – 5 = 32 = 8 4

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Example 4

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Find the area of the following trapezoid. 16 in. 10 in. 52 in.

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Example 4 Find the area of the following trapezoid. 16 in. A = ½h(b 1 + b 2 ) 10 in. 52 in.

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Example 4 Find the area of the following trapezoid. 16 in. A = ½h(b 1 + b 2 ) 10 in. 52 in. A = ½h(b 1 + b 2 )

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Example 4 Find the area of the following trapezoid. 16 in. A = ½h(b 1 + b 2 ) 10 in. = h 52 in. A = ½h(b 1 + b 2 )

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Example 4 Find the area of the following trapezoid. 16 in. = b 1 A = ½h(b 1 + b 2 ) 10 in. = h 52 in. A = ½h(b 1 + b 2 )

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Example 4 Find the area of the following trapezoid. 16 in. = b 1 A = ½h(b 1 + b 2 ) 10 in. = h 52 in. = b 2 A = ½h(b 1 + b 2 )

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Example 4 Find the area of the following trapezoid. 16 in. A = ½h(b 1 + b 2 ) 10 in. 52 in. A = ½h(b 1 + b 2 ) = ½10(16 + 52)

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Example 4 Find the area of the following trapezoid. 16 in. A = ½h(b 1 + b 2 ) 10 in. 52 in. A = ½h(b 1 + b 2 ) = ½10(16 + 52) = ½10(68)

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Example 4 Find the area of the following trapezoid. 16 in. A = ½h(b 1 + b 2 ) 10 in. 52 in. A = ½h(b 1 + b 2 ) = ½10(16 + 52) = ½10(68) = 5(68)

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Example 4 Find the area of the following trapezoid. 16 in. A = ½h(b 1 + b2) 10 in. 52 in. A = ½h(b 1 + b 2 ) = ½10(16 + 52) = ½10(68) = 5(68) = 340

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Multiplication Properties of Exponents Multiplying with Like Bases and Exponents Keep the base the same and add the exponents. Ex: 3 2 3 7 = 3 9 x 4.

Multiplication Properties of Exponents Multiplying with Like Bases and Exponents Keep the base the same and add the exponents. Ex: 3 2 3 7 = 3 9 x 4.

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