IGCSE Math B 3 Algebra Topic Practice

Factorise $2 x^{3}-6 x z+x^{2} z-3 z^{2}$

Solve the simultaneous equations
$$\begin{aligned} 2x+3y&=2.5\\ 4x+2y&=7 \end{aligned}$$

Show clear algebraic working.

Solve the inequality
$$7x+3\leqslant4x-15.$$

Factorise fully $8xy^2-18xy$.

The nth term of a sequence is given by 4n-12.
Write down the first 2 terms of the sequence.

1st term

2nd term

Factorise fully 28ab+21b.

Solve the simultaneous equations
$$\begin{aligned}3x+5y&=7.5\\7x+6y&=3.9\end{aligned}$$
Show clear algebraic working.

Factorise fully $9x+12x^2y$.

Solve the simultaneous equations
$$\begin{aligned}3x-4y&=3\\4x-7y&=2\end{aligned}$$
Show clear algebraic working.

The nth term of a sequence is given by $5n^2-2n$.
Find the difference between the 3rd term and the 4th term of this sequence.