Practice Questions for Algebra - Inequalities & Modulus | CRE 4

1. CRE 4 - Maximization / Minimization | Algebra - Inequalities & Modulus

If xy = 16, find the least possible value of x + y. (x, y > 0)

2. CRE 4 - Maximization / Minimization | Algebra - Inequalities & Modulus

If x + y = 16, find the highest possible value of x × y. (x, y > 0)

3. CRE 4 - Maximization / Minimization | Algebra - Inequalities & Modulus

If x²y = 32, find the least possible value of x + y. (x, y > 0)

4. CRE 4 - Maximization / Minimization | Algebra - Inequalities & Modulus

If x²y³ = 32, find the least possible value of 2x + 3y. (x, y > 0)

5. CRE 4 - Maximization / Minimization | Algebra - Inequalities & Modulus

If x²y³ = 48, find the least possible value of 3x + 2y. (x, y > 0)

6. CRE 4 - Maximization / Minimization | Algebra - Inequalities & Modulus

If 3x + y = 9, find the highest possible value of x²y. (x, y > 0)

7. CRE 4 - Maximization / Minimization | Algebra - Inequalities & Modulus

The sum of three distinct natural numbers is 35. What is the maximum value of their product?

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8. CRE 4 - Maximization / Minimization | Algebra - Inequalities & Modulus

x + y + z = 6 where x,y,z are three positive real numbers. Find the maximum value of (x + y)(y + z)(z + x).

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CRE 4 - Maximization / Minimization | Algebra - Inequalities & Modulus