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 343medium
If x, y are two positive real number and $${x^{\frac{1}{3}}} = {y^{\frac{1}{4}}},$$ then which of the following relations is true?
Question 344medium
If (5√5x3 - 81√3y3) ÷ (√5x - 3√3y) = (Ax2 + By2 + Cxy), then the value of (6A + B - $$\sqrt {15} $$ C) is:
Question 345medium
If $$x - \frac{1}{x} = 5,$$ x ≠ 0, then what is the value of $$\frac{{{x^6} + 3{x^3} - 1}}{{{x^6} - 8{x^3} - 1}}?$$
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Question 346medium
If $$x > 1$$ and $${x^2} + \frac{1}{{{x^2}}} = 83,$$ then the $${x^3} - \frac{1}{{{x^3}}}\,{\text{is?}}$$
Question 347medium
If x = 2 + √3, then find the value of x4 - 8x3 + 16x2.
Question 348medium
If 9x2 + y2 = 37 and xy = 2, x, y > 0, then the value of (27x3 + y3) is:
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Question 349medium
553 + 173 - 723 + 201960 is equal to
Question 350medium
$${\text{If }}\sqrt {1 + \frac{x}{{961}}} = \frac{{32}}{{31}}{\text{,}}$$ then the value of x is?
Question 351medium
If $$x + \frac{1}{x} = 3,$$ x ≠ 0 then the value of $${x^7} + \frac{1}{{{x^7}}}$$ is