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Algebraic Equation

Which of the ...

Question

Which of the following is a linear (or simple) equation in one variable? Give reasons. [4 MARKS]

(i) $x^{2} = 5$

(ii) $x + y = 4$

(iii) $x + 6 = 9$

(iv) $x^{2} + y^{2} = 9$

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Solution

1 Mark each

(i) $x^{2} = 5$ is not a linear equation since the highest exponent of the variable is 2.

(ii) $x + y = 4$ has two variables in it. So, it is not a linear equation.

(iii) $x + 6 = 9$ is a linear equation in one variable.

(iv) $x^{2} + y^{2} = 9$ has two variables in it, and the highest exponent is 2. So, it is not a linear equation.

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Similar questions

x^{2} = 5

x + y = 4

x + 6 = 9

x^{2} + y^{2} = 9

x^{2} = 5

x + y = 4

x + 6 = 9

In the following equations, find which variables x, y, z etc, represent rational or irrational numbers :

(i) $x^{2}$ = 5 (ii) $y^{2}$ = 9

(iii) $z^{2}$ = 0.04 (iv) $u^{2} = \frac{17}{4}$

(v) $v^{2}$ = 3 (vi) $w^{2}$ = 27

(vii) $t^{2} = 0.4$

(x + y)

\sqrt{x + y} + \sqrt{x - y} = 4

x^{2} - y^{2} = 9

x = 3 sec θ - 2

y = 3 tan θ + 2

x, y

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