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 1medium
If $$\left( {2 + \sqrt 3 } \right)a$$ = $$\left( {2 - \sqrt 3 } \right)b$$ = 1 then the value of $$\frac{1}{a}$$ + $$\frac{1}{b}$$ is?
Question 2medium
If a = 4.36, b = 2.39 and c = 1.97, then the value of a3 - b3 - c3 - 3abc is?
Question 3medium
What is the value of $$\frac{{\left( {{a^2} + {b^2}} \right)\left( {a - b} \right) - \left( {{a^3} - {b^3}} \right)}}{{{a^2}b - a{b^2}}}?$$
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Question 4medium
If $${\left( {a + \frac{1}{a}} \right)^2} = 3{\text{,}}$$ the value of $${a^3} + \frac{1}{{{a^3}}}$$ = ?
Question 5medium
If x = 11, then the value of x5 - 12x4 + 12x3 - 12x2 + 12x - 1 is?
Question 6medium
If $$3\sqrt {\frac{{1 - a}}{a}} + 9 = 19 - 3\sqrt {\frac{a}{{1 - a}}} ,$$ then what is the value of a?
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Question 7medium
If a2 + b2 + c2 = 6.25 and (ab + bc + ca) = 0.52, what is the value of (a + b + c), if (a + b + c) < 0?
Question 8medium
If $$\sqrt x - \frac{1}{{\sqrt x }} = \sqrt 5 ,$$ then $${x^2} + \frac{1}{{{x^2}}}$$ is equal to:
Question 9medium
If $$A = \frac{{x - 1}}{{x + 1}},$$ then the value of $$A - \frac{1}{A}$$ is: