Double brackets – Expanding – Without Coefficients – Worksheet A The worksheet is provided in a variety of sizes.

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What two numbers have a sum of 6 and a product of 8? Number Pairs What two numbers have a sum of 6 and a product of 8? EXAMPLE Sum = 6 Product = 8 Sum = 7 Product = 12 2 & 4 1) 3 & Sum = 11 Product = 30 Sum = 4 Product = 4 2) & 3) & Sum = 8 Product = 7 Sum = 10 Product = 24 4) & 5) & How do we get a negative product? Sum = 3 Product = −10 6) & Sum = 3 Product = −18 & Sum = 7 Product = −8 7) 8) & Sum = 1 Product = −20 Sum = −1 Product = −20 9) & 10) & Sum = −4 Product = −21 Sum = 0 Product = −36 11) & 12) & A negative sum, but a positive product? Sum = −9 Product = 18 13) & Sum = −10 Product = 24 Sum = −13 Product = 36 14) & 15) & Sum = −13 Product = −42 Sum = −11 Product = 28 16) & 17) & Sum = −1 Product = 72 Sum = −4 Product = −45 18) & 19) &

What two numbers have a sum of 6 and a product of 8? Number Pairs What two numbers have a sum of 6 and a product of 8? EXAMPLE Sum = 6 Product = 8 Sum = 7 Product = 12 2 & 4 1) 3 & 4 Sum = 11 Product = 30 Sum = 4 Product = 4 2) 5 & 6 3) 2 & 2 Half Answers Sum = 8 Product = 7 Sum = 10 Product = 24 4) 1 & 7 5) 4 & 6 How do we get a negative product? Sum = 3 Product = −10 6) 5 & −2 Sum = 3 Product = −18 Sum = 7 Product = −8 7) 6 & −3 8) 8 & −1 Sum = 1 Product = −20 Sum = −1 Product = −20 9) & 10) & Sum = −4 Product = −21 Sum = 0 Product = −36 11) & 12) & A negative sum, but a positive product? Sum = −9 Product = 18 13) & Sum = −10 Product = 24 Sum = −13 Product = 36 14) & 15) & Sum = −13 Product = −42 Sum = −11 Product = 28 16) & 17) & Sum = −1 Product = 72 Sum = −4 Product = −45 18) & 19) &

What two numbers have a sum of 6 and a product of 8? Number Pairs What two numbers have a sum of 6 and a product of 8? EXAMPLE Sum = 6 Product = 8 Sum = 7 Product = 12 2 & 4 1) 3 & 4 Sum = 11 Product = 30 Sum = 4 Product = 4 2) 5 & 6 3) 2 & 2 Answers Sum = 8 Product = 7 Sum = 10 Product = 24 4) 1 & 7 5) 4 & 6 How do we get a negative product? Sum = 3 Product = −10 6) 5 & −2 Sum = 3 Product = −18 Sum = 7 Product = −8 7) 6 & −3 8) 8 & −1 Sum = 1 Product = −20 Sum = −1 Product = −20 9) 5 & −4 10) 4 & −5 Sum = −4 Product = −21 Sum = 0 Product = −36 11) 3 & −7 12) 6 & −6 A negative sum, but a positive product? Sum = −9 Product = 18 13) −3 & −6 Sum = −10 Product = 24 Sum = −13 Product = 36 14) −4 & −6 15) −9 & −4 Sum = −13 Product = −42 Sum = −11 Product = 28 16) −6 & −7 17) −4 & −7 Sum = −1 Product = 72 Sum = −4 Product = −45 18) 8 & −9 19) 5 & −9

2 4 & 3 2 & 4 3 & & & & & & & & & & & & & & & & & & & Number Pairs A negative sum, but a positive product? Number Pairs What two numbers have a sum of 6 and a product of 8? Sum = 6 Product = 8 2 4 & 1) Sum = 7 Product = 12 3 2) Sum = 11 Product = 30 3) Sum = 4 Product = 4 4) Sum = 8 Product = 7 5) Sum = 10 Product = 24 EXAMPLE 6) Sum = 3 Product = −10 How do we get a negative product? 7) Product = −18 8) Product = −8 11) Sum = −4 Product = −21 12) Sum = 0 Product = −36 14) Sum = −10 15) Sum = −13 Product = 36 16) Product = −42 17) Sum = −11 Product = 28 18) Sum = −1 Product = 72 19) Product = −45 9) Sum = 1 Product = −20 10) 13) Sum = −9 Product = 18 What two numbers have a sum of 6 and a product of 8? EXAMPLE Sum = 6 Product = 8 Sum = 7 Product = 12 2 & 4 1) 3 & Sum = 11 Product = 30 Sum = 4 Product = 4 2) & 3) & Sum = 8 Product = 7 Sum = 10 Product = 24 4) & 5) & How do we get a negative product? Sum = 3 Product = −10 6) & Sum = 3 Product = −18 7) & Sum = 7 Product = −8 8) & Sum = 1 Product = −20 Sum = −1 Product = −20 9) & 10) & Sum = −4 Product = −21 Sum = 0 Product = −36 11) & 12) & A negative sum, but a positive product? Sum = −9 Product = 18 13) & Sum = −10 Product = 24 Sum = −13 Product = 36 14) & 15) & Sum = −13 Product = −42 Sum = −11 Product = 28 16) & 17) & Sum = −1 Product = 72 Sum = −4 Product = −45 18) & 19) &

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