Details
In this course, you will study basic algebraic operations and concepts, as well as the structure and use of algebra. This includes solving algebraic equations, factoring algebraic expressions, working with rational expressions, and graphing linear equations. You will apply these skills to solve real-world problems (word problems). Each unit will have its own application problems, depending on the concepts you have been exposed to. This course is also intended to provide you with a strong foundation for intermediate algebra and beyond. It will begin with a review of some math concepts formed in pre-algebra, such as ordering operations and simplifying simple algebraic expressions, to get your feet wet. You will then build on these concepts by learning more about functions, graphing of functions, evaluation of functions, and factorization. You will spend time on the rules of exponents and their applications in distribution of multiplication over addition/subtraction.
Outline
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Unit 1: Review of Major Pre-Algebra Concepts
We begin by quickly reviewing the basics of pre-algebra concepts. Materials covered in this unit will be familiar to those who have had pre-algebra. With a little more practice of the suggested problems and homework, every student, regardless of previous background, should be able to grasp the main concepts.
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Unit 2: Solving Linear Inequalities and Graphing
In this unit, you will learn to apply the concept of solving equations to solve problems involving linear inequalities. You will also learn how to graph a straight line, use different methods to find the slope and intercept of a line, and interpret slope and intercept. You will learn more about types of straight lines.
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Unit 3: Exponents and Polynomials
This section introduces you to the concept of evaluating exponents, converting scientific notations to decimal notations, and vice versa. You will apply these concepts to evaluating polynomial expressions.
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Unit 4: Factoring Polynomials
This unit expands on what you learned in Unit 3. In Unit 4, you will learn to factor the greatest common factor by grouping and other factoring methods. Because factoring and distribution are opposite actions, you will be able to determine whether you have factored correctly by going in the opposite direction, which is distributing through multiplication.
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Unit 5: Rational Expression
In this unit, you will learn how to evaluate rational expressions and perform operations such as addition, multiplication, and division involving rational expressions. You will apply the concept of multiplying rational expressions to dimensional analysis, where you will convert units from single/dual unit of measurement to another.
Saylor Academy’s mission is to open education to all.
Saylor Academy’s mission is sustained by the continued evolution of an open educational ecosystem, and we are dedicated partners in this movement. Saylor’s commitment to the open education ecosystem is founded not just on open educational resources and open source learning technologies, but also on open access to credentials, and ongoing open learning opportunities.
Guided by these beliefs, Saylor Academy is currently focused on the following projects:
Open Courses: Maintenance and Learner-Centered Improvements
- A commitment to the OER community means that we’ll continue to replace open access materials with openly licensed ones in an effort to make Saylor courseware as reusable and remixable as possible.
- Open courses require more instructional supports for learners, so our current improvements focus on ensuring better and more frequent opportunities for Saylor students to practice what they’re learning.
Open Credentials: Adding New Opportunities and Bolstering Existing Ones
- We’re working on expanding our suite of Saylor Direct credit recommended exams, and we’re also keen on working with university partners to develop innovative and flexible partner degree launching and completion programs. ...
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