AAC Algebra 2 – Complete In-Depth Study Guide

A comprehensive set of flashcards covering key concepts in AAC Algebra 2, including functions, linear equations, polynomials, and test strategies.

What defines a function in mathematics?

A function is defined as a relation where each input has exactly one output, characterized by a domain and range.

What is the slope in linear functions and how is it calculated?

The slope indicates the steepness of a line, calculated as the rise over the run between two points on the line.

What are the methods for solving systems of equations?

The methods include graphing systems, substitution method, and elimination method.

What is the significance of the leading coefficient in a polynomial?

The leading coefficient is the coefficient of the term with the highest degree and determines the polynomial's end behavior.

How do you graph a parabola?

Graphing a parabola involves identifying its vertex, axis of symmetry, and maximum or minimum values.

What are the laws of exponents?

The laws of exponents govern the operations involving powers and include rules for multiplication, division, and raising a power to a power.

What is the difference between linear growth and exponential growth?

Linear growth increases by a constant amount, while exponential growth increases by a constant percentage or factor over time.

What are test strategies for algebra exams?

Test strategies include formula review, calculator tips, avoiding common mistakes, pacing strategies, and logically checking answers.

How do you solve linear inequalities?

You solve linear inequalities similarly to equations but must reverse the inequality sign when multiplying or dividing by a negative.

What is the purpose of defining variables in word problems?

Defining variables helps to clearly translate problems into mathematical equations for easier problem solving.