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 181easy
If $$\frac{x}{y} = \frac{4}{5}{\text{,}}$$ then the value of $$\left( {\frac{4}{7} + \frac{{2y - x}}{{2y + x}}} \right)$$ is?
Question 182easy
If $$3{a^2} = {b^2} \ne 0{\text{,}}$$ then the value of $$\frac{{{{\left( {a + b} \right)}^3} - {{\left( {a - b} \right)}^3}}}{{{{\left( {a + b} \right)}^2} + {{\left( {a - b} \right)}^2}}}$$ is?
Question 183easy
If x = 2, y = 1 and z = -3, then x3 + y3 + z3 - 3xyz is equal to?
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Question 184hard
If a + b + c = 0, then the value of $$\frac{{{a^2}}}{{bc}} + \frac{{{b^2}}}{{ca}} + \frac{{{c^2}}}{{ab}}$$ is:
Question 185easy
If x2 = y + z, y2 = z + x, z2 = x + y, then the value of $$\frac{1}{{x + 1}}$$ + $$\frac{1}{{y + 1}}$$ + $$\frac{1}{{z + 1}} = \,?$$
Question 186hard
If $$x = \root 3 \of {a + \sqrt {{a^2} + {b^3}} } $$ + $$\root 3 \of {a - \sqrt {{a^2} + {b^3}} } $$ then $${x^3} + 3bx$$ is equal to?
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Question 187hard
If p = 101, then the value of $$\root 3 \of {p\left( {{p^2} - 3p + 3} \right) - 1} $$ is?
Question 188hard
If 2x3 + ax2 + bx - 2 leaves the remainders 7 and 0 when divided by (2x - 3) and (x + 2), respectively, then the values of a and b are respectively:
Question 189hard
If $${\left( {a + \frac{1}{a}} \right)^2} = 3{\text{,}}$$ then find the value of $${a^{30}}$$ + $${a^{24}}$$ + $${a^{18}}$$ + $${a^{12}}$$ + $${a^6}$$ + $$1$$ = ?