Unit 4B Review

Front

Solve the equation by factoring: 4k² + 12k = 160

Back

k = 5, k = -8

Front

Solve the equation by factoring: 3m² + 13m + 4 = 0

Back

m = -1/3, m = -4

Front

Use the quadratic formula to solve: ax² + bx + c = 0

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

What is the vertex of the equation y = (b - 8)² - 12?

Back

(8, -12)

Front

Determine the discriminant and solutions for: 5k² - 10k - 2 = -7

Back

Discriminant = 0, one real solution

Front

What is a quadratic equation?

Back

An equation of the form ax² + bx + c = 0 where a ≠ 0.

Front

What does the discriminant tell us about a quadratic equation?

Back

It indicates the nature of the roots: positive (two real solutions), zero (one real solution), negative (two imaginary solutions).

Front

How do you find the vertex of a parabola given in vertex form?

Back

The vertex is given by the point (h, k) in the equation y = a(x - h)² + k.

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c.

Front

What is factoring in algebra?

Back

The process of breaking down an expression into simpler components that, when multiplied together, give the original expression.