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 226easy
If x * y = x2 + y2 - xy, then the value of 9 * 11 is?
Question 227easy
If xy = -6 and x3 + y3 = 19 (x and y are integers), then what is the value of $$\frac{1}{{{x^{ - 1}}}} + \frac{1}{{{y^{ - 1}}}}?$$
Question 228easy
If $${x^2} + \frac{1}{{{x^2}}} = 1{\text{,}}$$ then the value of $${x^{102}}$$ $$ + $$ $${x^{96}}$$ $$ + $$ $${x^{90}}$$ $$ + $$ $${x^{84}}$$ $$ + $$ $${x^{78}}$$ $$ + $$ $${x^{72}}$$ $$ + $$ $$5$$ is?
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Question 229easy
If a : b = 2 : 3 and b : c = 4 : 5, find a2 : b2 : bc = ?
Question 230medium
If x + y + z = 6 and xy + yz + zx = 10, then the value of x3 + y3 + z3 - 3xyz is?
Question 231medium
If a + 3b = 12 and ab = 9, then the value of (a - 3b) is:
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Question 232medium
If $$\frac{a}{b} = \frac{c}{d} = \frac{e}{f} = 3,$$ then $$\frac{{2{a^2} + 3{c^2} + 4{e^2}}}{{2{b^2} + 3{d^2} + 4{f^2}}}$$ = ?
Question 233medium
x varies inversely as square of y. Given that y = 2 for x = 1, the value of x for y = 6 will equal to?
Question 234medium
If x2 - 12x + 33 = 0, then what is the value of (x - 4)2 + $$\frac{1}{{{{\left( {x - 4} \right)}^2}}}?$$