Mathematics 4024 · O Level · Equations

Equations — practice question

(a)[1]

Express as a single fraction, in its simplest form, $\frac{1}{2x}+\frac{2}{5x}$.

(b)[2]

Simplify the expression $4(3x-2y+1)-(5x-3y+1)$.

(c)[3]

Solve $3x^2-x-5=0$, giving your answers accurate to 2 decimal places.

(d(i))[2]

Draw the graph for $x+2y=5$.

(d(ii))[1]

Shade the region specified by these inequalities and label it $R$. $x\le3$, $y\le4$, $y\le2x$, $x+2y\ge5$.

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