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 217medium
If x = 255, y = 256, z = 257, then find the value of x3 + y3 + z3 - 3xyz.
Question 218medium
If $${a^{\frac{1}{3}}} + {b^{\frac{1}{3}}} + {c^{\frac{1}{3}}} = 0,$$ then a relation among a, b, c is?
Question 219medium
If $$a - \frac{1}{a} = b,\,b - \frac{1}{b} = c$$ and $$c - \frac{1}{c} = a,$$ then what is the value $$\frac{1}{{ab}} + \frac{1}{{bc}} + \frac{1}{{ca}} = ?$$
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Question 220medium
If x + y + z = 0, then what is the value of $$\frac{{xy + yz + zx}}{{{x^2} + {y^2} + {z^2}}}?$$
Question 221medium
If x : y = 3 : 4, then (7x + 3y) : (7x - 3y) is equal to?
Question 222easy
If x = 2 then the value of x3 + 27x2 + 243x + 631 = ?
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Question 223medium
If 0.13 × p2 = 13, then p is equal to?
Question 224easy
If $$\frac{1}{a}\left( {{a^2} + 1} \right) = 3{\text{,}}$$ then the value of $$\frac{{{a^6} + 1}}{{{a^3}}}$$ = ?
Question 225easy
If $$x + \frac{1}{x} = 3{\text{,}}$$ where $$x \ne 0{\text{,}}$$ then the value of $$\frac{{{x^4} + 3{x^3} + 5{x^2} + 3x + 1}}{{{x^4} + 1}}$$ = ?