Unit 4 Test Study Guide (Solving Quadratic Equations)

A collection of flashcards to aid in studying quadratic equations and complex numbers.

What is the result of simplifying (-4+7i)+(-3-8i)?

-7-i

What property is demonstrated by 5-(3-2) = (5.3).2?

Associative Property of Multiplication

What is the additive identity of (-10+4i)?

0

What is the solution to the quadratic equation x²+10x+24=0?

x = -6, x = -4

What form is f(x) = x² + 16x + 63 in?

Standard Form

What is the vertex of the function f(x) = (x+5)²-1?

(-5,-1) [Vertex Form]

What is the result of solving the quadratic equation 2x² - 32x + 128 = 0?

x = 8

How do you find the discriminant of the equation -x² + 2x - 8 = 0?

b² - 4ac = 4 + 32 = 36.

What does a positive discriminant indicate about the roots of a quadratic equation?

There are two distinct real roots.

What is the multiplicative inverse of 7?

1/7

What is the equation for the GCF of 4 in 4x² + 32x - 36?

4(x² + 8x - 9) = 0.

What does it mean for a set to be closed under subtraction?

Subtracting any two elements in the set results in an element that is also in the set.

What method is appropriate to solve -3x² - 5x - 4 = 0?

Quadratic Formula.

What are the roots of f(x) = (x-1)(x-1)?

Root x = 1 (double root).

What property is represented by -7(3-5) = -21 + 35?

Distributive Property.

What is the result of (9+5i)(9-5i)?

81 - 25(-1) = 106.