Algebra Quadratic Equations Mock Tests

If (x + 1)² = 49, what is the sum of all possible values of x?

If x and y are positive integers such that x² + y² = 100 and x − y = 2, what is the value of x?

If x² - 5x + 6 = 0, what are the values of x?

If x² + 5x + 6 = 0, what is the product of the two roots?

The product of two consecutive positive integers is 156. What is the larger of the two integers?

If x² − 7x + 12 = 0, what is the sum of the two possible values of x?

What are the solutions to x² - 7x + 12 = 0?

If the quadratic equation x^2 - 5x + 6 = 0 has roots r and s, what is the value of r^2 + s^2?