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 262easy
If x is a rational number and $$\frac{{{{\left( {x + 1} \right)}^3} - {{\left( {x - 1} \right)}^3}}}{{{{\left( {x + 1} \right)}^2} - {{\left( {x - 1} \right)}^2}}}$$ = 2, then the sum of numerator and denominator of x is?
Question 263easy
If a2 - 4a - 1 = 0 then value of $${a^2} + \frac{1}{{{a^2}}} + 3a - \frac{3}{a}$$ is?
Question 264easy
If $$x + \frac{1}{x} = 5{\text{,}}$$ then the value of $$\frac{{{x^4} + 3{x^3} + 5{x^2} + 3x + 1}}{{{x^4} + 1}} = ?$$
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Question 265easy
If $${3^{x + 3}} + 7 = 250{\text{,}}$$ then x is equal to?
Question 266easy
If $$p \times q = p + q + \frac{p}{q}{\text{,}}$$ then the value of 8 × 2 is?
Question 267easy
If pq(p + q) = 1, then the value of $$\frac{1}{{{p^3}{q^3}}}$$ - $${p^3}$$ - $${q^3}{\text{,}}$$ is equal to?
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Question 268medium
If x + y + z = 6 and x2 + y2 + z2 = 20, then the value of x3 + y3 + z3 - 3xyz is?
Question 269medium
If 3a = 4b = 6c and a + b + c = $$27\sqrt {29} $$ then $$\sqrt {{a^2} + {b^2} + {c^2}} $$ is equal to
Question 270medium
If (x - 3)2 + (y - 5)2 + (z - 4)2 = 0, then the value of $$\frac{{{x^2}}}{9}{\text{ + }}\frac{{{y^2}}}{{25}}{\text{ + }}\frac{{{z^2}}}{{16}}$$ is?