Algebra 2 Review

Front

What is the solution to the equation x^2 + 4 = 0?

Back

No solution, since x^2 cannot be negative.

Front

What does it mean if a function has no solution?

Back

It means there are no values of x that satisfy the equation.

Front

Solve for x: 2x + 3 = 9.

Back

x = 3.

Front

What is the solution to the equation 3x - 6 = 0?

Back

x = 2.

Front

If a quadratic equation has a negative discriminant, what can be said about its solutions?

Back

The equation has no real solutions.

Front

What is the vertex form of a quadratic function?

Back

y = a(x - h)^2 + k, where (h, k) is the vertex.

Front

Solve for x: x^2 - 9 = 0.

Back

x = 3 or x = -3.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a).

Front

What does the term 'discriminant' refer to in a quadratic equation?

Back

The discriminant is b² - 4ac and determines the nature of the roots.

Front

Solve for x: 5x + 10 = 0.

Back

x = -2.