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Edexcel IGCSE Math A Higher 2.2 Algebraic Manipulation Questions

Use this manipulation page to collect terms, expand brackets, factorise expressions and rewrite algebra before applying it in equations.

Syllabus
First assessment 2018
Course
Math A 4MA1
Level
Higher

Exam points

  • Collect like terms and expand brackets before simplifying the final expression.
  • Factorise common factors and quadratics, including x² + bx + c forms with signs.
  • Rewrite expressions into a requested form before substituting or solving.

Covered syllabus points

2.2.A Evaluate expressions by substituting numerical values2.2.B Collect like terms2.2.C Expanding a single term over a bracket2.2.D Taking out common factors2.2.E Products of two linear expressions2.2.F Factorising simple quadratic expressions2.2.HA Products of multiple linear expressions2.2.HB Factorising quadratic expressions2.2.HC Algebraic fractions2.2.HD Completing the square2.2.HE Algebra to support and construct proofs

Question 1

[Maximum number: 1]

Given that 8m+49m−9m=km8 \sqrt{m}+\sqrt{49 m}-\sqrt{9 m}=k \sqrt{m} where k is an integer and m is a prime number,

work out the value of k

k=

Question 2

[Maximum number: 6]

Question (a)

(a)

Factorise fully 8p2−2p8 p^{2}-2 p

[ 2 ]

Question (b)

(b)

Expand 4 t(3 t-2)

[ 2 ]

Question (c)

(c)

Expand and simplify (5 x-2)(x+4)

\section*{1w=5y2−y31 \quad w=5 y^{2}-y^{3} \\ 1w=5y2−y31 \quad w=5 y^{2}-y^{3}}
(a) Work out the value of w when y=-2

w=

"

[ 2 ]

Question 3

[Maximum number: 4]

Question (a)

(a)

Factorise fully 16m3g3+24m2g516 m^{3} g^{3}+24 m^{2} g^{5}

[ 2 ]

Question (b)

(b)

Factorise y2−2y−48y^{2}-2 y-48

[ 2 ]
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