1. Double brackets – Expanding – Without Coefficients – Worksheet A
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3. 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)
&

4. 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)
&

5. 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

6. 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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