Factorising Single Bracket Without Indices Worksheet A Worksheets

Factorising – Single Bracket – Without Indices – Worksheet A Worksheets increase in difficulty and are in 2 sizes.

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EXAMPLE Here are 9 Squares & 6 Triangles. We want to make identical groups with both squares & triangles. What is the maximum number of groups we can make? Can we make 6 identical groups? 2 What is the maximum number of identical groups we can make with these shapes? 4 groups? The maximum amount of identical groups we can split the shapes into is 3. In each group there are 3 Squares & 2 Triangles. We can split these shapes into _____ identical groups. In each group there are _____ Squares & _____ Triangles. We can write this as: 1 3(3 S + 2 T) What is the maximum number of identical groups we can make with these shapes? We can split these shapes into _____ identical groups. In each group there are _____ Squares & _____ Triangle. We can write this as: 3 We can split these shapes into _____ identical groups. In each group there are _____ Squares & _____ Triangles. We can write this as:

EXAMPLE 4 15 squares 6 triangles We can write this as: We can split these shapes into ___ equal groups. In each group there are ___ squares & ___ triangles. We can split these shapes into 2 equal groups. In each group there are 4 squares & 3 triangles. We can write this as: 2(4 S + 3 T) 5 15 squares 20 triangles 1 We can write this as: We can split these shapes into ___ equal groups. In each group there are ___ squares & ___ triangles. We can split these shapes into 3 equal groups. In each group there are ___ squares & ___ triangle. We can write this as: 2 How do we know the maximum number of identical groups we can split the shapes into? 6 For these questions complete the algebraic expression for the groups. example) We can split these shapes into ___ equal groups. In each group there is ___ square & ___ triangles. We can write this as: 3 6 squares & 12 triangles = 6(S + 2 T) a) 4 squares & 20 triangles = 4(S + 5 T) b) 10 S + 15 T = 5(2 S + 3 T) c) 24 S + 8 T = 8(3 S + T) d) 6 circles, 3 squares & 12 triangles = 3(2 C + S + 4 T) e) 4 C + 8 S + 16 T = 4(C + 2 S + 4 T) f) 15 C + 10 S + 25 T = 5(3 C + 2 S + 5 T) g) We can write this as: We can split these shapes into ___ equal groups. In each group there are ___ squares & ___ triangles. h) 12 C + 18 S + 6 T = 15 C + 10 S + 25 T 6(2 C + 3 S + T) = 5(3 C + 2 S + 5 T)

EXAMPLE Here are 9 Squares & 6 Triangles. We want to make identical groups with both squares & triangles. What is the maximum number of groups we can make? Can we make 6 identical groups? 2 What is the maximum number of identical groups we can make with these shapes? 4 groups? The maximum amount of identical groups we can split the shapes into is 3. In each group there are 3 Squares & 2 Triangles. 3 identical groups. We can split these shapes into _____ In each group there are _____ 4 Squares & _____ 3 Triangles. We can write this as: 1 3(3 S + 2 T) What is the maximum number of identical groups we can make with these shapes? 4 We can split these shapes into _____ identical groups. 2 Squares & _____ In each group there are _____ 1 Triangle. We can write this as: 4(2 S + T) We can write this as: 3(4 S + 3 T) 3 5 identical groups. We can split these shapes into _____ In each group there are _____ 2 Squares & _____ 3 Triangles. We can write this as: 5(2 S + 3 T)

EXAMPLE We can split these shapes into 2 equal groups. In each group there are 4 squares & 3 triangles. 4 We can write this as: 2(4 S + 3 T) 1 15 squares 6 triangles 3 equal groups. We can write this as: We can split these shapes into ___ 3(5 S + 2 T) In each group there are ___ 5 squares & ___ 2 triangles. 5 15 squares 20 triangles 5 equal groups. We can write this as: We can split these shapes into ___ 5(3 S + 4 T) In each group there are ___ 3 squares & ___ 4 triangles. We can split these shapes into 3 equal groups. In each group there are ___ 3 squares & ___ 1 triangle. We can write this as: 3(3 S + T) 2 How do we know the maximum number of identical groups we can split the shapes into? 6 For these questions complete the algebraic expression for the groups. example) 4 equal groups. We can split these shapes into ___ In each group there is ___ 1 square & ___ 2 triangles. We can write this as: 4(S + 2 T) 3 6 squares & 12 triangles = 6(S + 2 T) a) 4 squares & 20 triangles = 4(S + 5 T) b) 10 S + 15 T = 5(2 S + 3 T) c) 24 S + 8 T = 8(3 S + T) d) 6 circles, 3 squares & 12 triangles = 3(2 C + S + 4 T) e) 4 C + 8 S + 16 T = 4(C + 2 S + 4 T) f) 15 C + 10 S + 25 T = 5(3 C + 2 S + 5 T) g) 4 equal groups. We can write this as: We can split these shapes into ___ 4(2 S + 3 T) In each group there are ___ 2 squares & ___ 3 triangles. h) 12 C + 18 S + 6 T = 15 C + 10 S + 25 T 6(2 C + 3 S + T) = 5(3 C + 2 S + 5 T)

EXAMPLE Here are 9 Squares & 6 Triangles. We want to make identical groups with both squares & triangles. What is the maximum number of groups we can make? Can we make 6 identical groups? 2 What is the maximum number of identical groups we can make with these shapes? 4 groups? The maximum amount of identical groups we can split the shapes into is 3. In each group there are 3 Squares & 2 Triangles. We can split these shapes into _____ identical groups. In each group there are _____ Squares & _____ Triangles. We can write this as: 1 3(3 S + 2 T) What is the maximum number of identical groups we can make with these shapes? We can split these shapes into _____ identical groups. In each group there are _____ Squares & _____ Triangle. We can write this as: 3 We can split these shapes into _____ identical groups. In each group there are _____ Squares & _____ Triangles. We can write this as:

EXAMPLE 4 15 squares 6 triangles We can write this as: We can split these shapes into ___ equal groups. In each group there are ___ squares & ___ triangles. We can split these shapes into 2 equal groups. In each group there are 4 squares & 3 triangles. We can write this as: 2(4 S + 3 T) 5 15 squares 20 triangles 1 We can write this as: We can split these shapes into ___ equal groups. In each group there are ___ squares & ___ triangles. We can split these shapes into 3 equal groups. In each group there are ___ squares & ___ triangle. We can write this as: 2 How do we know the maximum number of identical groups we can split the shapes into? 6 For these questions complete the algebraic expression for the groups. example) We can split these shapes into ___ equal groups. In each group there is ___ square & ___ triangles. We can write this as: 3 6 squares & 12 triangles = 6(S + 2 T) a) 4 squares & 20 triangles = 4(S + 5 T) b) 10 S + 15 T = 5(2 S + 3 T) c) 24 S + 8 T = 8(3 S + T) d) 6 circles, 3 squares & 12 triangles = 3(2 C + S + 4 T) e) 4 C + 8 S + 16 T = 4(C + 2 S + 4 T) f) 15 C + 10 S + 25 T = 5(3 C + 2 S + 5 T) g) We can write this as: We can split these shapes into ___ equal groups. In each group there are ___ squares & ___ triangles. h) 12 C + 18 S + 6 T = 15 C + 10 S + 25 T 6(2 C + 3 S + T) = 5(3 C + 2 S + 5 T)

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