High School Algebra: Number Operations and Algebra
Learn about the basics of algebra as well as the function of sets and operations from this free online course.Publisher: ADU
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This free online course on High School Algebra: Number Operations and Algebra will begin by introducing you to the definition of sets along with the two ways sets are represented in mathematics. You will also be introduced to the common vocabulary and definition of terms that will be used in this course. Furthermore, this course will explain the classification of sets and the operations between sets. You will learn about the functionality of Venn diagrams and how they are applied to sets. You will get to learn about the set of numbers as a collection of elements while exploring the functions and the difference between rational and irrational numbers. This course will expose you to the two types of operations along with the delineation of the basic arithmetic operations which includes addition, multiplication, subtraction, and division. You will also get to learn about the definition as well as the properties of real numbers, how to write sets of numbers using interval notation instead of inequality statements.
Ever wondered about the relationship between number lines and graphing in mathematics? This course will succinctly explain how to graph a set of numbers on a number line. It will also take into consideration the origin of the number which is the point on the number line associated with the number 0. You will learn about the functions of positive and negative integers in algebra. With the aid of illustrations, this course will teach you about the multiplication, addition, subtraction, and division of integers. You will learn how fractions are expressed as the quotient of two quantities in mathematics while looking at the concept of absolute value. This course will then explain how decimals are derived from fractions and the different operations that can be performed with fractions. This course further sheds light on the different methods of approximating square roots in algebra. This course will then explore the simplification process of radicals through the knowledge of perfect squares, perfect cubes, and other popular roots in mathematics.
Furthermore, you will be exposed to the concept of variables and algebraic expressions with a focus on the composition of the algebraic expressions. With concrete mathematical problems, you will learn how algebraic expressions are simplified and how to write equations along with formulas. This course will teach you how to solve algebraic equations using addition, subtraction, multiplication, and division. You will also get to practice how to graph a solution set on a number line and the application of solving equations. This course will then teach you how to solve an equation for a specific variable with a formula. At the end of this course, you will be able to solve mathematical problems using ratios. This course is targeted at students who want to improve their algebra knowledge, facilitators, engineers, as well as anyone interested in sharpening their mathematical knowledge. Start now and improve your understanding of the number operations and algebra.Start Course Now
Numbers and Operations
Numbers and Operations - Learning Outcomes
Working with Sets - Vocabulary and Definitions
Sets of Numbers
The Number Line and Graphing
Fractions and Decimals
The Real Numbers
Irrational Numbers – Definition and Properties
Perfect Squares, Perfect Cubes and Other Popular Powers and Roots
Operations with Radicals
Numbers and Operations - Lesson Summary
Basics of Algebra
Basics of Algebra - Learning Outcomes
Variables and Algebraic Expressions
Graphing a Solution Set on the Number Line
Ratios and Proportions
Percents and Their Applications
Basics of Algebra - Lesson Summary
Upon the successful completion of this course, you will be able to:
- Define real numbers and their properties.
- Explain the representation of sets in mathematics.
- Discuss the concepts of rational and irrational numbers with concrete examples.
- Recall how positive integers are gotten from number lines in mathematics.
- Define the concept of absolute value.
- Analyze how fractions are expressed in mathematics.
- Explain the simplification of radicals in numbers.
- Discuss the composition of algebraic expressions.
- Discuss the concept and functions of the number line in mathematics.
- Recall how to solve for a specific variable in a formula.
- Explain how to solve mathematical problems using ratios.
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