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Big Ideas Algebra 2 Chapter 3

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Section 1

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Pure Imaginary Number

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Algebra Math

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Mar 1, 2020

Cards (13)

Section 1

(13 cards)

Pure Imaginary Number

Front

A number written in the form a+bi, where a=0 and b does not equal 0 Ex: 5i

Back

Imaginary Number

Front

A number written in the form a + bi, where a and b are real numbers and b does not equal 0 Example: 10-2i

Back

quadratic equation in one variable

Front

An equation that can be written in the standard form ax² + bx + c = 0, where a, b, and c are real numbers and a ≠ 0 Ex: 2x² - 3x +8 = 0

Back

Discriminant

Front

The expression b² - 4ac in the Quadratic Formula.

Back

zero of a function

Front

An x-value of a function f for which f(x) = 0. Ex: The zeroes of f(x) = x² -4x - 45 are x = 9 and x = -5.

Back

Completing the Square

Front

To add a term c to an expression of the form x² + bx such that x² + bx + c is a perfect square trinomial Ex: x² +6x +9 = (x+3)² and x²+bx+(b/2)² = (x+b/2)²

Back

Imagnary Unit i

Front

The square root of -1, denoted i = √-1

Back

quadratic inequality in two variables

Front

An inequality of the form y < ax²+bx+c, y > a²+bx+c, y ≤ ax²+bx+c, or y ≥ ax²+bx+c, where a, b, and c are real numbers and a ≠ 0. Ex. y < -x²-2x-1

Back

system of nonlinear equations

Front

A system of equations where at least one of the equations is nonlinear. Ex. Equation 1: y = x²+2x-4 Equation 2: y = 2x+5

Back

Quadratic Formula

Front

Back

Complex Number

Front

A number written in the form a + bi, where a and b are real numbers Ex: 5 + 2i.

Back

root of an equation

Front

A solution of an equation. Ex. The roots of x²-x-6 = 0 are x = -2 and x = 3.

Back

quadratic inequality in one variable

Front

An inequality of the form ax²+bx+c < 0, ax²+bx+c > 0, ax²+bx+c ≤ 0, or ax²+bx+c ≥ 0, where a, b, and c are real numbers and a ≠ 0. Ex. x²-3x -4 < 0

Back