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 37hard
Determine the value of 'x', if $$x = \frac{{{{\left( {943 + 864} \right)}^2} - {{\left( {943 - 864} \right)}^2}}}{{\left( {1886 \times 1728} \right)}}$$
Question 38hard
Simplify $$\frac{{{x^2} + 2x + {y^2}}}{{{x^3} - 5{x^2}}}{\text{if }}x + \frac{{{y^2}}}{x} = 5.$$
Question 39hard
If x = 2015, y = 2014, z = 2013, then the value of x2 + y2 + z2 - xy - yz - zx is?
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Question 40hard
If (x + y + z) = 0, then what is the value of $$\frac{{3{y^2} + {x^2} + {z^2}}}{{2{y^2} - xz}}?$$
Question 41hard
If $${x^2} + \frac{1}{{{x^2}}} = \frac{7}{4}$$ for x > 0 then what is the value of $${x^4} + \frac{1}{{{x^4}}}.$$
Question 42hard
If $$\sqrt {0.03 \times 0.3a} $$ = $${\text{0}}{\text{.3}} \times {\text{0}}{\text{.3}} \times \sqrt b {\text{,}}$$ value of $$\frac{a}{b}\,{\text{is?}}$$
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Question 43medium
If $$\frac{{{x^2} + 1}}{x} = 4\frac{1}{4},$$ then what is the value of $${x^3} + \frac{1}{{{x^3}}}?$$
Question 44hard
If the expression $$\frac{{{x^2}}}{{{y^2}}} + tx + \frac{{{y^2}}}{4}$$ is a perfect square, then the value of t is?
Question 45medium
The factors of x2 + 4y2 + 4y - 4xy - 2x - 8 are: