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Algebraic Simplification

KS3 Maths Foundation Questions – Algebraic Simplification

1) Simplify the following:

a) a + a + a + a + a =

b) 4b + b + 2b =

c) c + c + c + c + c – c – c =

d) a + a + 3a + 7a – 6a =

e) 2c – 4c + 4c + 2c – c =

f) 4b + 5b – 7b + 4b =

g) 6h + 3h – 9h + 5h + 7h – 3h =

h) 4t + t + 3t – 8t + 3t + 9t =

2) Collect the like terms:

a) 5x + 5x – 2y =

b) 7y + 6y + 9x – 2x =

c) 5z + 4z – 4x + 5x +3y =

d) 5z + 8z + y – 8y + 6x + 6x =

e) 7y + 8y – 3x + 6x – 9x + 4z + 9z – 2y + 8x – 2x – 4z =

3) Simplify the multiplications:

a) x × 2x =

b) 3y × y × 2y × 4x =

c) y × x2 =

d) z × 5z × 4x × 2y =

e) z × z × z × z =

4) Solve the brackets:

a) 3(9x + 2y) =

b) 4(4z + y) =

c) 8(5x – 2z) =

d) 9(7x – 4y) =

e) 7(3x + 8y) =

f) 9(7x – 4y) – 7(3x + 8y) =

g) 3(9x + 2y) + 8(5x – 2z) =

KS3 Maths Higher Questions – Algebraic Simplification

1) Simplify the following:

a) 4c + b + 2b =

b) a + b + 3a + 7b – 6a =

c) 2c – 4c + 4c + 2c – c =

d) 4b + 5b – 7b + 4b =

e) 6z + 3h – 9z + 5h + 7h – 3h =

f) 4g + t + 3g – 8t + 3g + 9t =

g) 7y + 6y + 9x – 2x =

h) 5z + 4z – 4x + 5x +3y =

i) 5z + 8z + y – 8y + 6x + 6x =

j) 7y + 8y – 3x + 6x – 9x + 4z + 9z – 2y + 8x – 2x – 4z =

2) Simplify the multiplications:

a) 4x × 2x × 7x =

b) 3y × y × 2y × 4x =

c) Y5 × x2 × z =

d) z × 5z × 4x × 2y =

e) z × z × x × z × x =

3) Simplify the Divisions:

a)

b)

c)

d)

1 2 3 4 5

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