Functions are mathematical entities that assign unique outputs to given inputs. Sounds simple? Think again! In this topic you will evaluate, graph, analyze, and create various types of functions.
This topic is an overview of the fundamental ideas and tools of algebra.
Learn how to write polynomial expressions as the product of linear factors. For example, write x^2+3x+2 as (x+1)(x+2).
Learn how to interpret solutions to systems of linear equations and solve them.
Seeing_structure_in_expressions
Learn how to use algebra in order to solve problems that involve variables whose values are unknown.
Units_of_measurement_in_modeling
Modeling is an amazing world, full of challenges. In this topic, we will start to think about some general modeling concerns, before we dive into modeling situations with different kinds of functions and equations throughout the Algebra curriculum.
Introduction_to_exponential_functions
Learn how to construct, analyze, graph, and interpret basic exponential functions of the form f(x)=a*r^x.
Absolute_value_equations_functions
Learn how to solve absolute value equations and how to graph absolute value functions.
Expressions_with_rational_exponents_and_radicals
Learn about expressions with rational exponents like x^(2/3), about radical expressions like √(2t^5), and about the relationship between these two forms of representation. Learn how to evaluate and simplify such expression.
Learn about the various ways in which we can define sequences; Use and construct arithmetic and geometric sequences.
Two_variable_linear_inequalities
In this topic, we study inequalities like x+2y>5 and graph them. This helps us see their solutions. We also explore systems of inequalities (multiple inequalities at the same time) and use them to describe real-world situations.
Rational_and_irrational_numbers
Learn about irrational numbers and how to identify them.
Quadratic_equations_and_functions
Learn how to solve quadratic equations, and how to analyze and graph quadratic functions.
One_variable_linear_inequalities
Learn how to solve linear inequalities with a single variable. For example, solve -3(x+1)>2x-7. Learn how to solve compound inequalities. For example, solve 2x+1>3 AND -x-5<4.
Learn about linear equations that contain two variables, and how these can be represented by graphical lines and tables of values.
Learn how to solve linear equations that contain a single variable. For example, solve 2(x+3)=(4x-1)/2+7.
Learn how to add, subtract, and multiply polynomial expressions. For example, write (2x+3)(x-1) as 2x²+x-3.
Linear_equations_and_functions_word_problems
Solve various word problems that involve real world relationships that can be represented by linear equations or functions.
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