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 280medium
If x = 2 + √3, y = 2 - √3, z = 1 then what is the value of $$\frac{x}{{yz}} + \frac{y}{{xz}} + \frac{z}{{xy}} + 2\left[ {\frac{1}{x} + \frac{1}{y} + \frac{1}{z}} \right]?$$
Question 281medium
If $$x + \frac{4}{x} - 4 = 0,$$ then the value of x2 - 4 is equal to:
Question 282medium
If $$x + \frac{1}{x} = 2$$ then $${x^2} + \frac{1}{{{x^2}}}$$ is equal to?
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Question 283medium
If x(x + y + z) = 20, y = (x + y + z) = 30 & z(x + y + z) = 50, then the value of 2(x + y + z) is?
Question 284easy
If $$\frac{1}{4} \times $$ $$\frac{2}{6} \times $$ $$\frac{3}{8} \times $$ $$\frac{4}{{10}} \times $$ $$\frac{5}{{12}} \times $$ . . . . . $$ \times \frac{{31}}{{64}}$$ $$ = \frac{1}{{{2^x}}}$$ then the value of x is?
Question 285easy
If x2 + y2 + 1 = 2x, then the value of x3 + y5 is?
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Question 286easy
If $$\frac{{4\left[ {{{\left( {17} \right)}^3} - {{\left( 7 \right)}^3}} \right]}}{{\left( {{{17}^2} + {7^2} + p} \right)}} = 40,$$ then what is the value of p?
Question 287easy
$${\text{If }}\sqrt {1 - \frac{{{x^3}}}{{100}}} = \frac{3}{5}{\text{,}}$$ then x equals to?
Question 288easy
If x + y + z = 10, x3 + y3 + z3 = 75 and xyz = 15, then find the value of x2 + y2 + z2 - xy - yz - zx.