Edexcel IGCSE Math A 2 algebra equations and formulae

Use this Algebra question-bank hub to move from notation and formulae into equations, quadratics, graphs, inequalities and proportion skills.

Covered syllabus points

2.1 Use of symbols 2.2 Algebraic manipulation 2.3 Expressions and formulae 2.4 Linear equations 2.6 Simultaneous linear equations 2.7 Quadratic equations 2.8 Inequalities

[Maximum number: 4]

Here is a number machine.

Figure for Question 2 Equations, formulae and identities question 1 — Edexcel IGCSE Math A Foundation

When the input is 7 the output is 60

(a)

Work out the value of y

Here is a different number machine.

Figure for Question (a) — Edexcel IGCSE Math A Foundation

The input is x

[ 2 ]

60+17=77 $77\div7=11$

Final answer:
y=11

(b)

Write down an expression, in terms of x, for the output.

[ 2 ]

Final answer:
$\frac{x+7}{5}$

Equivalent forms such as $\frac{1}{5}(x+7)$ or 0.2x+1.4 are accepted.

[Maximum number: 5]

Here is a number machine.

Figure for Question 2 Equations, formulae and identities question 2 — Edexcel IGCSE Math A Foundation

(a)

Work out the output when the input is 8

[ 1 ]

(b)

Work out the input when the output is 82

The input is y.

[ 2 ]

Working:
$(82+9)\div7=13$

Final answer:
13

M1 for +9 or $\div7$ . A1.

(c)

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

[ 2 ]

Final answer:
7y-9

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

[Maximum number: 8]

(a)

Simplify $c \times c \times c$

[ 1 ]

Final answer:
$c^3$

(b)

Simplify $12 d \times 3 e$

[ 1 ]

$12d\times3e=36de$

Final answer:
36de

(c)

Solve $\frac{k}{4}=7$

[ 1 ]

$\frac{k}{4}=7$ k=28

Final answer:
28

(d)

Solve 2 g-3=6

[ 2 ]

2g-3=62g=9 $g=\frac92=4.5$

Final answer:
4.5

Equivalent answers such as $\frac92$ or $4\frac12$ are accepted.

(e)

Expand x(x-4)
$P=4 y^{2}+w$

[ 1 ]

$x(x-4)=x^2-4x$

Final answer:
$x^2-4x$

Allow $-4x+x^2$ .

(f)

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

[ 2 ]

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

Final answer:
38

[Maximum number: 3]

Solve the simultaneous equations

\begin{aligned} & 5 x+y=11 \\ & 3 x-y=9 \end{aligned}

Show clear algebraic working.

\begin{aligned} & x= \\ & y= \end{aligned}

Working:
5x+y=113x-y=9
Adding:
$8x=20,\qquad x=2.5$ $5(2.5)+y=11,\qquad y=-1.5$

Final answer:
$x=2.5,\qquad y=-1.5$

M1 for a correct elimination or substitution method. M1 dep for finding the second variable. A1 dep on M1 for x=2.5, y=-1.5. Working required.

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Covered syllabus points

2 Equations, formulae and identities question 1

Question (a)

Question (b)

2 Equations, formulae and identities question 2

Question (a)

Question (b)

Question (c)

2 Equations, formulae and identities question 3

Question (a)

Question (b)

Question (c)

Question (d)

Question (e)

Question (f)

2 Equations, formulae and identities question 4