Practice Algebraic Constraint in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A mathematical condition expressed as an equation or inequality that restricts which values the variables are allowed to take.
x^2 + y^2 = 1 constrains (x, y) to lie on a circle — not all points in the plane are allowed.
Example 1
easyWhat constraint does x^2 \geq 0 impose on x?
Example 2
mediumWhat values does \frac{1}{x-3} constrain x to avoid?
Example 3
easyWhat constraint does \sqrt{x} impose on x?
Example 4
mediumIf x + y = 10 and x, y > 0, what is the maximum of xy?