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 523easy
If 5x + 9y = 5 and 125x3 + 729y3 = 120, then the value of the product of x and y is?
Question 524easy
If $$x = 3 + 2\sqrt 2 {\text{,}}$$ then the value of $$\left( {\sqrt x - \frac{1}{{\sqrt x }}} \right){\text{ is?}}$$
Question 525easy
If 2x2 + 5x + 1 = 0, then one of the value of $$x - \frac{1}{{2x}}$$ is:
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Question 526easy
If $$x = \sqrt 5 + 2{\text{,}}$$ then the value of $$\frac{{2{x^2} - 3x - 2}}{{3{x^2} - 4x - 3}}$$ is equal to?
Question 527easy
If $$\frac{{{x^8} + 1}}{{{x^4}}} = 14,$$ then the value of $$\frac{{{x^{12}} + 1}}{{{x^6}}}$$ is:
Question 528medium
If a + b + c = m and $$\frac{1}{a}$$ + $$\frac{1}{b}$$ + $$\frac{1}{c}{\text{,}}$$ then average of a2, b2, c2 is?
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Question 529medium
If x = 1 + $$\sqrt 2 $$ + $$\sqrt 3 $$ and y = 1 + $$\sqrt 2 $$ - $$\sqrt 3 {\text{,}}$$ then the value of $$\frac{{{x^2} + 4xy + {y^2}}}{{x + y}}$$ is?
Question 530medium
If $$x + \frac{1}{x} \ne 0$$ and $${x^3} + \frac{1}{{{x^3}}} = 0{\text{,}}$$ then the value $${\left( {x + \frac{1}{x}} \right)^4}$$ is?
Question 531medium
If $$\frac{{m - 3{a^3}}}{{{b^3} + {c^3}}}$$ $$+$$ $$\frac{{m - 3{b^3}}}{{{c^3} + {a^3}}}$$ $$+$$ $$\frac{{m - 3{c^3}}}{{{a^3} + {b^3}}}$$ = 9, then the value of m is?