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 91easy
If $$a\left( {2 + \sqrt 3 } \right)$$ = $$b\left( {2 - \sqrt 3 } \right)$$ = 1, then the value of $$\frac{1}{{{a^2} + 1}}$$ + $$\frac{1}{{{b^2} + 1}}$$ = ?
Question 92easy
If 2s = a + b + c, then the value of s(s - c) + (s - a) (s - b) is?
Question 93easy
If $$\frac{{2x - y}}{{x + 2y}} = \frac{1}{2}{\text{,}}$$ then value of $$\frac{{3x - y}}{{3x + y}}\,{\text{is?}}$$
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Question 94easy
If 1 + 9r2 + 81r4 = 256 and 1 + 3r + 9r2 = 32, then find the value of 1 - 3r + 9r2.
Question 95easy
If $${x^2} + x = 5{\text{,}}$$ then the value of $${\left( {x + 3} \right)^3} + \frac{1}{{{{\left( {x + 3} \right)}^3}}} = ?$$
Question 96easy
If $$a - \frac{1}{{a - 5}} = 10$$ , then the value of $${\left( {a - 5} \right)^3} - \frac{1}{{{{\left( {a - 5} \right)}^3}}}$$ is:
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Question 97easy
Given that x8 - 34x4 + 1 = 0, x > 0, what is the value of (x3 + x-3)?
Question 98easy
If $$x = 7 - 4\sqrt 3 {\text{,}}$$ then $$\sqrt x {\text{ + }}\frac{1}{{\sqrt x }}$$ is equal to?
Question 99easy
If $$A = \frac{{0.216 + 0.008}}{{0.36 + 0.04 - 0.12}}$$ and $$B = \frac{{0.729 - 0.027}}{{0.81 + 0.09 + 0.27}},$$ then what is the value of (A2 + B2)2?