Edexcel IGCSE Math A Foundation 2.3 Expressions and Formulae Questions

Use this formulae page to turn contexts into algebra, substitute given values and make a specified variable the subject of a formula.

Exam points

Write formulae from contexts such as total cost, number machines or sequence rules.
Substitute values into an expression or formula before simplifying the result.
Rearrange formulae to make a named variable the subject with correct inverse operations.

Covered syllabus points

2.3.A Unknowns and variables 2.3.B Correct notational conventions for algebraic 2.3.C Substitution in expressions and formulae 2.3.D Formulae from mathematics and other real-life contexts 2.3.E Derive a formula or expression 2.3.F Changing the subject of a formula

[Maximum number: 1]

Simplify $b \times c \times 7$

[Maximum number: 2]

Work out the value of P when y=-3 and w=2

Substitute y=-3 and w=2:
$P=4(-3)^2+2$ P=4(9)+2=38

Final answer:
38

[Maximum number: 2]

Here is a number machine.

Figure for Question 3 — Edexcel IGCSE Math A Foundation

Find an expression, in terms of y, for the output.

Final answer:
7y-9

B2 oe, for example $y\times7-9$ . B1 for 7y, y-9, or y=7y-9.

[Maximum number: 2]

Pamela, Sophia and Zoe are three friends.
Pamela has x dollars.
Sophia has 4 dollars more than Pamela.
Zoe has three times the number of dollars that Sophia has.
In total, the three friends have T dollars.

Write an expression, in terms of x, for T.

x+(x+4)+3(x+4)

=x+x+4+3x+12

=5x+16

Final answer:

5x+16

M1 for any two of x, x+4, or 3(x+4) oe.
A1 any correct expression.
SC B1 for $x+4x+3\times4x$ or 17x.

[Maximum number: 2]

Make t the subject of $m=\frac{t+4}{5}$

5m=t+4

Final answer:
t=5m-4

Equivalent answers include $t=5\left(m-\frac45\right)$ or t=-4+5m.

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Covered syllabus points

Question 1

Question 2

Question 3

Question 4

Question 5