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 118medium
If a + b = 10 and $$\sqrt {\frac{a}{b}} - 13 = - \sqrt {\frac{b}{a}} - 11$$ then what is the value of 3ab + 4a2 + 5b2?
Question 119medium
If a + a2 + a3 - 1 = 0, then what is the value of $${a^3} + \frac{1}{a}?$$
Question 120medium
If p3 - q3 = (p - q){(p + q)2 - xpq}, then the value of x is?
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Question 121medium
If ab = 21 and $$\frac{{{{\left( {a + b} \right)}^2}}}{{{{\left( {a - b} \right)}^2}}}$$ = $$\frac{{25}}{4}{\text{,}}$$ then the value of a2 + b2 + 3ab is?
Question 122medium
If 3x + 5y + 7z = 49 and 9x + 8y + 21z = 126, then what is the value of y?
Question 123medium
If x + y = 3, then what is the value of x3 + y3 + 9xy?
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Question 124medium
If p3 + q3 + r3 - 3pqr = 4, and a = q + r, b = r + p and c = p + q, then what is the value of a3 + b3 + c3 - 3abc?
Question 125medium
The value of $$\frac{{48.3 \times \left[ {{{\left( {4.95} \right)}^2} + 4.95 \times 13.25} \right]}}{{\left[ {{{\left( {12.55} \right)}^2} - {{\left( {5.65} \right)}^2}} \right] \times 19.8}} = ?$$
Question 126medium
If $$\frac{{xy}}{{x + y}} = a,$$ $$\frac{{xz}}{{x + z}} = b$$ and $$\frac{{yz}}{{y + z}} = c{\text{,}}$$ where a, b, c are all non - zero numbers, then x equals to?