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 316medium
If $$x = 3 + 2\sqrt 2 {\text{,}}$$ then the value of $${x^2}{\text{ + }}\frac{1}{{{x^2}}}{\text{ is?}}$$
Question 317medium
a + b + c = 0, then the value of $$\frac{{{a^2} + {b^2} + {c^2}}}{{ab + bc + ca}}$$ is?
Question 318medium
If x = 3t, y = $$\frac{1}{2}$$(t + 1), then the value of t for which x = 2y is?
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Question 319hard
The graph of 2x + 1 = 0 and 3y - 9 = 0 intersect at the point?
Question 320hard
If $$\frac{{2p}}{{{p^2} - 2p + 1}} = \frac{1}{4}{\text{,}}$$ p ≠ 0 then the value of $$p + \frac{1}{p}\,{\text{is?}}$$
Question 321hard
If $$x = \sqrt a + \frac{1}{{\sqrt a }}{\text{,}}$$ $$y = \sqrt a - \frac{1}{{\sqrt a }}{\text{,}}$$ $$\left( {a > 0} \right)$$ then the value of x4 + y4 - 2x2y2 is?
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Question 322hard
If $${x^4} + \frac{1}{{{x^4}}} = \frac{{257}}{{16}},$$ then find $$\frac{8}{{13}}\left( {{x^3} + \frac{1}{{{x^3}}}} \right),$$ where x > 0.
Question 323hard
If $$x + \frac{1}{x} = - 14,$$ and x < -1 what will be the value of $${x^2} - \frac{1}{{{x^2}}} = ?$$
Question 324hard
If $$x = p + \frac{1}{p}$$ and $$y = p - \frac{1}{p}$$ then the value of x4 - 2x2y2 + y4 = ?