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 325hard
If $$x + \frac{1}{x} = 5{\text{,}}$$ then $${x^6}{\text{ + }}\frac{1}{{{x^6}}}$$ is?
Question 326hard
If x + y + z = 19, xy + yz + zx = 144, then the value of $$\sqrt {{x^3} + {y^3} + {z^3} - 3xyz} $$ is:
Question 327hard
If $$x = \frac{{\sqrt 5 - \sqrt 3 }}{{\sqrt 5 + \sqrt 3 }}$$ and $$y = \frac{{\sqrt 5 + \sqrt 3 }}{{\sqrt 5 - \sqrt 3 }}$$ then the value of $$\frac{{{x^2} + xy + {y^2}}}{{{x^2} - xy + {y^2}}} = ?$$
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Question 328hard
What is the value of $$\frac{{3.6 \times 1.62 + 0.48 \times 3.6}}{{1.8 \times 0.8 + 10.8 \times 0.3 - 2.16}}?$$
Question 329hard
If p = 99, then the value of p(p2 + 3p + 3) will be?
Question 330hard
The term to be added to 121a2 + 64b2 to make a perfect square is?
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Question 331hard
If $$x - \frac{1}{x} = 5{\text{,}}$$ then $${x^2}{\text{ + }}\frac{1}{{{x^2}}}$$ is?
Question 332hard
If $$\frac{{3\left( {{x^2} + 1} \right) - 7x}}{{3x}} = 6,$$ x ≠ 0 the value $$\sqrt x + \frac{1}{{\sqrt x }}$$ is:
Question 333hard
If $$x = \frac{1}{{\left( {\sqrt 2 + 1} \right)}}{\text{,}}$$ the value of x2 + 2x - 1 is?