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 136easy
The value of $$\left( {{\text{1 + }}\frac{1}{x}} \right)$$ $$\left( {{\text{1 + }}\frac{1}{{x + 1}}} \right)$$ $$\left( {{\text{1 + }}\frac{1}{{x + 2}}} \right)$$ $$\left( {{\text{1 + }}\frac{1}{{x + 3}}} \right)$$ is?
Question 137easy
If 1 < x < 2, then the value of $$\sqrt {{{\left( {x - 1} \right)}^2}} {\text{ + }}\sqrt {{{\left( {3 - x} \right)}^2}} {\text{ is?}}$$
Question 138medium
If $$a + \frac{1}{b}$$ = $$b + \frac{1}{c}$$ = $$c + \frac{1}{a}$$ (where a ≠ b ≠ c), then abc is equal to?
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Question 139medium
If 3x2 - 9x + 3 = 0, then what is the value of $${\left( {x + \frac{1}{x}} \right)^3}?$$
Question 140medium
If x + y + z = 19, x2 + y2 + z2 = 133 and xz = y2, then the difference between z and x is:
Question 141medium
$$\frac{{\sqrt {3 + x} + \sqrt {3 - x} }}{{\sqrt {3 + x} - \sqrt {3 - x} }} = 2{\text{,}}$$ then x is equal to?
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Question 142hard
If x = 3 + 2$$\sqrt 2 $$ and xy = 1, then the value of $$\frac{{{x^2} + 3xy + {y^2}}}{{{x^2} - 3xy + {y^2}}}$$ is?
Question 143medium
If $$x + \frac{1}{x} = 5{\text{,}}$$ then $$\frac{{2x}}{{3{x^2} - 5x + 3}}$$ is equal to?
Question 144medium
What is the simplified value of $$\frac{{\left( {x + y + z} \right)\left( {xy + yz + zx} \right) - xyz}}{{\left( {x + y} \right)\left( {y + z} \right)\left( {z + x} \right)}}?$$