# Algebra 1

## Collection by Calcworkshop • Last updated 16 hours ago

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Algebra 1 help for both high school and college level students. This board contains lessons plans, videos, course notes, cheat sheets, tips, and helpful strategies for anyone taking an algebra one course. It includes standard algebra curriculum such as order of operations, solving equations, linear functions, distributive property, inequalities, quadratics, and many other standard topics you'd see in a course syllabus. Follow today to grow your mathematical knowledge!

Learn how to solve systems of equations using linear combination, or the substitution method. Discover the three easy steps, and some helpful tricks, for solving systems of two or three equations using the method of elimination.

Learn how to solve a quadratic equation by completing the square. With straightforward steps, and fill in the blank methods, we will solve various polynomial equations using the method of completing the square.

Learn how to use the Quadratic Formula when solving quadratic polynomial equations. Discover the tricks for transforming equations, accurately identify values, and review how to simplify radicals all while using the Quadratic Formula.

Learn how to solve nonlinear systems of equations algebraically by using the substitution method and the elimination method in order to find all solutions, both real and complex.

Learn how to change a radical to a rational exponent and vice versa. Understand the properties of nth roots and simplify numerical and variable radicals.

Discover the tricks to simplifying radicals and rationalizing denominators. And learn how to rationalize square roots, cube roots, and more using rational expressions.

Learn how to use set builder notation and identify the domain and range for relations and functions, including linear, absolute value, square root, rational, and greatest integer functions.

In this introduction to statistics lesson you will learn how to calculate the mean, median, mode, and range as well as percentiles and the Mean Absolute Deviation (MAD). Discover how to represent data in frequency distribution tables, line plots, stem and leaf plots, and box and whisker plots.

Learn how to add and subtract rational expressions (fractions) by finding the least common multiple in order to create the least common denominator.

Using Venn Diagrams, Tree Diagrams, and Tables learn how to calculate the probability and conditional probability of dependent, independent or mutually exclusive events.

Learn how to plot points on the coordinate plane, identify quadrants, graph equations given two points, and identify if an equation is linear.

Learn how to identify the slope and y-intercept, write and graph an equation in slope-intercept form, and how to change an equation from slope intercept to standard form.

Determine if two lines are parallel or perpendicular by calculating their slope. And compare equations of lines and identify if the lines are parallel, perpendicular or neither.

Learn how to solve systems of linear equations using the graphic method, verify if a coordinate is a solution to a system and also determine the number of solutions by inspection.

Learn how to graph the system of linear inequalities and determine the solution set or overlapping shaded region. Also discover how to write a system of inequalities given a graph.

Learn how to add, subtract and multiply radical expressions, including square roots. And also discover how to easily estimate the value of a square root without a calculator.