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 55easy
If $$\frac{{{a^2} + {b^2}}}{{{c^2}}}$$ = $$\frac{{{b^2} + {c^2}}}{{{a^2}}}$$ = $$\frac{{{c^2} + {a^2}}}{{{b^2}}}$$ = $$\frac{1}{k}{\text{,}}$$ $$\left( {k \ne 0} \right)$$ then k = ?
Question 56easy
If $${x^2} + \frac{1}{{{x^2}}} = \frac{7}{4}$$ for x > 0 then what is the value of $${x^3} + \frac{1}{{{x^3}}} = ?$$
Question 57easy
The value of $$\frac{{7 + 8 \times 8 \div 8\,{\text{of }}8 + 8 \div 8 \times 4\,{\text{of }}4}}{{4 \div 4\,{\text{of }}4 + 4 \times 4 \div 4 - 4 \div 4\,{\text{of}}\,{\text{2}}}}{\text{is:}}$$
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Question 58easy
If a + b = 5 and a - b = 3, then the value of (a2 + b2) is?
Question 59easy
If $$x + \frac{1}{x} = 2$$ and x is real, then the value of $${x^{17}}{\text{ + }}\frac{1}{{{x^{19}}}}\,{\text{is?}}$$
Question 60easy
If ab(a + b) = 1, then what is the value of $$\frac{1}{{{a^3}{b^3}}} - {a^3} - {b^3}?$$
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Question 61easy
If a + b + c = 9 (where a, b, c are real numbers) then the minimum value of a2 + b2 + c2 is?
Question 62easy
If $$\frac{{2a + b}}{{a + 4b}} = 3{\text{,}}$$ then find the value of $$\frac{{a + b}}{{a + 2b}} = ?$$
Question 63easy
If a2 + b2 + 4c2 = 2(a + b - 2c) - 3 and a, b, c are real, then the value of (a2 + b2 + c2) is?