Unit 4B Quadratic Retest

Front

Solve for the values of x: (x - 3)(x + 6) = 0

Back

x = 3 or x = -6

Front

Solve using the quadratic formula: 2x² + 7x - 15 = 0

Back

x = -5 or x = 1.5

Front

What should you do first in solving this equation: x² + 6x - 13 = 3?

Back

Make it equal 0 by subtracting 3 on each side.

Front

Solve for x: x² = 36

Back

x = ± 6

Front

Determine the values of a, b, and c for the quadratic equation: 4x² – 8x = 3

Back

a = 4, b = -8, c = -3

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

What does it mean for a quadratic equation to have no real solutions?

Back

The discriminant (b² - 4ac) is less than 0.

Front

How do you find the vertex of a quadratic function in standard form?

Back

The vertex (h, k) can be found using h = -b/(2a) and k = f(h).

Front

What is the axis of symmetry for a quadratic function?

Back

The line x = -b/(2a) is the axis of symmetry.

Front

What is the significance of the discriminant in a quadratic equation?

Back

It determines the nature of the roots: two real and distinct, one real and repeated, or no real solutions.