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 478easy
$${\text{The value of }}\frac{{4 + 3\sqrt 3 }}{{7 + 4\sqrt 3 }}{\text{ is?}}$$
Question 479hard
If p = 124, then the value of $$\root 3 \of {p\left( {{p^2} + 3p + 3} \right) + 1} = ?$$
Question 480hard
If $$x + \frac{1}{{9x}} = 4{\text{,}}$$ then $${\text{9}}{x^2} + \frac{1}{{9{x^2}}}$$ is?
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Question 481hard
If ab + bc + ca = 8 and a2 + b2 + c2 = 20, then a possible value of $$\frac{1}{2}$$(a + b + c)[(a - b)2 + (b - c)2 + (c - a)2] is:
Question 482hard
If $${x^2} + \frac{1}{{{x^2}}} = 7,$$ then the value of $${x^3} + \frac{1}{{{x^3}}}$$ where x > 0 is equal to:
Question 483hard
If 3x + 4y - 2z + 9 = 17, 7x + 2y + 11z + 8 = 23 and 5x + 9y + 6z - 4 = 18, then what is the value of x + y + z - 34?
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Question 484hard
If x + y + z = 0, then the value of (x2 + y2 + z2) ÷ (z2 - xy) is:
Question 485hard
If (a + b)2 - 2(a + b) = 80 and ab = 16, then what can be the value of 3a - 19b?
Question 486medium
If (125)x = 3125, then the value of x is?