Algebra MCQs
Practice free Algebra multiple-choice questions with instant answer feedback and step-by-step solutions. Click an option to check yourself, reveal the full explanation, and work through all 542 questions — no login required.
Question 199easy
The simplified value of $$\left( {1 - \frac{{2xy}}{{{x^2} + {y^2}}}} \right)$$ $$ ÷ $$ $$\left( {\frac{{{x^3} - {y^3}}}{{x - y}} - 3xy} \right)$$ is?
Question 200hard
If x = b + c - 2a, y = c + a - 2b, z = a + b - 2c, then the value of x2 + y2 - z2 + 2xy is?
Question 201easy
If $${x^2} + \frac{1}{5}x + {a^2}$$ is a perfect square, then a is?
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Question 202easy
If $$\frac{4}{3}\left( {{x^2} + \frac{1}{{{x^2}}}} \right) = 110\frac{2}{3},$$ find $$\frac{1}{9}\left( {{x^3} - \frac{1}{{{x^3}}}} \right),$$ where x > 0.
Question 203easy
If x2 - 3x + 1 = 0, then the value of $$\frac{{{x^6} + {x^4} + {x^2} + 1}}{{{x^3}}}$$ will be?
Question 204easy
If $$x = \root 3 \of {{x^2} + 11} - 2{\text{,}}$$ then the value of x3 + 5x2 + 12x is?
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Question 205easy
If t2 - 4t + 1 = 0, then the value of $${t^3} + \frac{1}{{{t^3}}}$$ is?
Question 206easy
If $${\text{2}}x - \frac{1}{{2x}} = 5{\text{,}}$$ $${\text{x}} \ne {\text{0,}}$$ then find the value of $${x^2} + \frac{1}{{16{x^2}}} - 2$$ = ?
Question 207easy
The value of $$\frac{{{{\left( {243} \right)}^{\frac{n}{5}}}{{.3}^{2n + 1}}}}{{{9^n}{{.3}^{n - 1}}}}{\text{ is?}}$$