MATHEMATICS
MORE EXERCISES

Question  1
Solve the following equations
by resolving into factors :

$$\hspace*{2 mm}\mathrm{1.1\kern3mmx^2 + 4x + 3 = 0\kern2mm\ }$$             [ A 1.1 ]

$$\hspace*{2 mm}\mathrm{1.2\kern3mmx^2 + 7x + 10 = 0\kern2mm\ }$$         [ A 1.2 ]

$$\hspace*{2 mm}\mathrm{1.3\kern3mmy^2 + 3y + 2 = 0\kern2mm\ }$$          [ A 1.3 ]

$$\hspace*{2 mm}\mathrm{1.4\kern3mmy^2 − 10y + 21 = 0\kern2mm\ }$$      [ A 1.4 ]

$$\hspace*{2 mm}\mathrm{1.5\kern3mma^2 + a − 2 = 0\kern2mm\ }$$             [ A 1.5 ]

$$\hspace*{2 mm}\mathrm{1.6\kern3mmb^2 − b − 6 = 0\kern2mm\ }$$             [ A 1.6 ]

$$\hspace*{2 mm}\mathrm{1.7\kern3mmp^2 − 3p − 4 = 0\kern2mm\ }$$       [ A 1.7 ]

$$\hspace*{2 mm}\mathrm{1.8\kern3mmq^2 + 2q − 15 = 0\kern2mm\ }$$       [ A 1.8 ]

$$\hspace*{2 mm}\mathrm{1.9\kern3mmx^2 − 4x − 21 = 0\kern2mm\ }$$       [ A 1.9 ]

$$\hspace*{2 mm}\mathrm{1.10\kern3mm2x^2 + 3x + 1 = 0\kern2mm\ }$$     [ A 1.10 ]

$$\hspace*{2 mm}\mathrm{1.11\kern3mm3y^2 − 11y + 10 = 0\kern2mm\ }$$
[ A 1.11 ]

$$\hspace*{2 mm}\mathrm{1.12\kern3mm6z^2 + 13z + 6 = 0\kern2mm\ }$$
[ A 1.12 ]

$$\hspace*{2 mm}\mathrm{1.13\kern3mm15z^2 + 13z − 6 = 0\kern2mm\ }$$
[ A 1.13 ]

$$\hspace*{2 mm}\mathrm{1.14\kern3mm6a^2 − 7a − 20 = 0\kern2mm\ }$$
[ A 1.14 ]

$$\hspace*{2 mm}\mathrm{1.15\kern3mm35b^2 − 22b − 24 = 0\kern2mm\ }$$                                               [ A 1.15 ]

$$\hspace*{2 mm}\mathrm{1.16\kern3mm−y^2 + 3y - 2 = 0\kern2mm\ }$$                                               [ A 1.16 ]

$$\hspace*{2 mm}\mathrm{1.17\kern3mm−p^2 − 4p + 5 = 0\kern2mm\ }$$                                               [ A 1.17 ]

$$\hspace*{2 mm}\mathrm{1.18\kern3mm−3y^2 + 11y − 10 = 0\kern2mm\ }$$                                               [ A 1.18 ]

Question  2
Solve the following equations by
using the formula and give
decimals if necessary :

$$\hspace*{2 mm}\mathrm{2.1\kern3mmx^2 + x − 3 = 0\kern2mm\ }$$          [ A 2.1 ]
$$\hspace*{2 mm}\mathrm{2.2\kern3mmy^2 − y − 5 = 0\kern2mm\ }$$          [ A 2.2 ]
$$\hspace*{2 mm}\mathrm{2.3\kern3mmz^2 + 4z + 1 = 0\kern2mm\ }$$          [ A 2.3 ]
$$\hspace*{2 mm}\mathrm{2.4\kern3mma^2 − 5a + 2 = 0\kern2mm\ }$$          [ A 2.4 ]
$$\hspace*{2 mm}\mathrm{2.5\kern3mmb^2 + 7b − 4 = 0\kern2mm\ }$$          [ A 2.5 ]
$$\hspace*{2 mm}\mathrm{2.6\kern3mm2a^2 − a − 1 = 0\kern2mm\ }$$          [ A 2.1 ]
$$\hspace*{2 mm}\mathrm{2.7\kern3mm3b^2 − 4b − 5 = 0\kern2mm\ }$$         [ A 2.7 ]
$$\hspace*{2 mm}\mathrm{2.8\kern3mm4p^2 − p − 7 = 0\kern2mm\ }$$          [ A 2.8 ]
$$\hspace*{2 mm}\mathrm{2.9\kern3mm5x^2 − 3x − 2 = 0\kern2mm\ }$$        [ A 2.9 ]
$$\hspace*{2 mm}\mathrm{2.10\kern3mm−2y^2 + 8y = 7\kern2mm\ }$$      [ A 2.10 ]
$$\hspace*{2 mm}\mathrm{2.11\kern3mm−3z^2 − 4z = −9\kern2mm\ }$$      [ A 2.11 ]
$$\hspace*{2 mm}\mathrm{2.12\kern3mm−4a^2 + 1 = 3a\kern2mm\ }$$        [ A 2.12 ]

Question  3
Solve the following equations by
completing the square and give
decimals, if necessary :

$$\hspace*{2 mm}\mathrm{3.1\kern3mmq^2 − 2q − 3 = 0\kern2mm\ }$$          [ A 3.1 ]
$$\hspace*{2 mm}\mathrm{3.2\kern3mmx^2 + 3x − 4 = 0\kern2mm\ }$$          [ A 3.2 ]
$$\hspace*{2 mm}\mathrm{3.3\kern3mmy^2 − 2y − 8 = 0\kern2mm\ }$$          [ A 3.3 ]
$$\hspace*{2 mm}\mathrm{3.4\kern3mm3z^2 + z − 2 = 0\kern2mm\ }$$          [ A 3.4 ]
$$\hspace*{2 mm}\mathrm{3.5\kern3mm2a^2 − 3a − 4 = 0\kern2mm\ }$$          [ A 3.5 ]
$$\hspace*{2 mm}\mathrm{3.6\kern3mm5b^2 + b + 6 = 0\kern2mm\ }$$          [ A 3.6 ]
$$\hspace*{2 mm}\mathrm{3.7\kern3mm−p^2 − 3p + 7 = 0\kern2mm\ }$$     [ A 3.7 ]
$$\hspace*{2 mm}\mathrm{3.8\kern3mm−2q^2 + 5q − 6 = 0\kern2mm\ }$$
[ A 3.8 ]
$$\hspace*{2 mm}\mathrm{3.9\kern3mm−3x^2 + 4x = 7\kern2mm\ }$$          [ A 3.9 ]
$$\hspace*{2 mm}\mathrm{3.10\kern3mm−x^2 + 2x + 8 = 0\kern2mm\ }$$
[ A 3.10 ]