Quadratics Test

Front

In the equation ax² + bx + c = 0, what does the 'a' represent?

Back

The leading coefficient of the quadratic equation.

Front

What is the standard form of a quadratic equation?

Back

ax² + bx + c = 0

Front

What is the first step in solving the equation x² + 6x - 13 = 3?

Back

Subtract 3 from both sides.

Front

In the equation y = x² + 5x + 7, what is the leading coefficient?

Back

1

Front

How many solutions does the equation 4x² + 4x + 1 = 0 have?

Back

1 solution.

Front

What is the vertex form of a quadratic equation?

Back

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

Front

What does the discriminant (b² - 4ac) tell us about a quadratic equation?

Back

It indicates the number of real solutions: if > 0, two solutions; = 0, one solution; < 0, no real solutions.

Front

What is the axis of symmetry in a quadratic function?

Back

The vertical line x = -b/(2a) that divides the parabola into two mirror images.

Front

What is the maximum or minimum value of a quadratic function?

Back

The y-coordinate of the vertex; maximum if 'a' < 0, minimum if 'a' > 0.

Front

What is factoring in the context of quadratic equations?

Back

Expressing the quadratic as a product of two binomials.