12th Grade Non-linear Inequalities Interactive Videos

Explore the foundational concepts and applications of the Simplex Method in Linear Programming. Enhance skills in identifying standard maximization problems, understanding the setup of the tableau, and performing calculations to achieve optimal solutions.

Explore the core concepts of the simplex method for solving optimization problems with an emphasis on maximizing profits in a bicycle manufacturing scenario. Gain skills in setting up and interpreting simplex tableaux, understanding constraints and slack variables, and identifying key variables to enhance the ability to solve linear programming problems efficiently.

Explore graphing and solving linear inequalities, focusing on key concepts such as determining line types, testing points, and shading regions. Develop the skills necessary to graph inequalities accurately and comprehend the intersection solutions within systems involving multiple inequalities.

Learners will understand and interpret linear inequalities on graphs, focusing on the significance of dashed and solid lines and shading techniques. Through interactive questions, students will identify solutions to inequalities both graphically and contextually. This prepares them for practical applications in algebra, enhancing their analytical skills and understanding of mathematical concepts related to inequalities.

Explore methods for calculating volumes under surfaces using double integrals, with a focus on bounded regions such as triangles and parabolas. Develop the ability to visualize and compute complex volumes, enhancing problem-solving skills in advanced calculus.

Investigate the substitution method for solving systems of equations with clear examples and applications. Understand the process of finding unique solutions, identifying systems with no solutions or infinite solutions, and applying the method to practical scenarios. Develop skills in analyzing and solving equations systematically to enhance problem-solving abilities.

Learn to graph and analyze systems of linear inequalities, focusing on identifying overlapping solution regions and interpreting graphical data effectively. Develop skills in solving these systems and applying this knowledge to real-world scenarios.

Explore the intricacies of piecewise functions, focusing on identifying and evaluating segments across varying intervals. Mastery of these evaluations equips learners with skills in graphing intricate functions and effectively understanding domain restrictions.

Explore the process of solving quadratic inequalities, using practical examples related to vertical motion, such as fireworks displays. Develop the ability to recognize key variables and avoid common errors, enhancing skills to resolve complex real-world problems effectively.

Understand the fundamental concepts of inequalities and methods for solving them, including linear and quadratic inequalities in algebra. Develop problem-solving skills and learn to graph quadratic equations to identify solution sets effectively.

Cover the essential concepts of graphing linear inequalities in Algebra, focusing on representing solution sets, boundary lines, and shading regions. Develop skills in identifying forms of inequalities, applying test points, and interpreting graph properties to build a solid foundation in graphing inequalities.

Gain a deep understanding of the quadratic formula and its application in solving quadratic equations. Learn step-by-step methods to effectively solve these equations and grasp their significance in real-world contexts. Develop the skills to confidently apply this essential algebraic technique.

Investigate the use of inequalities within real-world contexts by examining problems related to credit hours and business operations. Develop skills in formulating and solving inequalities to enable informed decision-making in everyday situations.

Investigate the complexity of multi-step inequalities, concentrating on strategies for solving and graphing in practical contexts. Gain insights into the distinctions between equations and inequalities, develop proficiency in adjusting inequality signs, and effectively depict solutions on a number line.

Develop essential strategies for solving quadratic inequalities by using methods such as factoring and analyzing the signs of product factors. Achieve the ability to solve complex inequalities, interpret results through interval notation, and enhance understanding of algebraic concepts.

Focus on solving linear functions, evaluating algebraic expressions, and analyzing linear functions and inequalities. Improve the ability to solve inequalities, evaluate function values, and analyze polynomial behaviors in practical contexts.

Explore three methods to solve quadratic equations: factoring, using the quadratic formula, and completing the square. Gain the ability to determine types of solutions and apply mathematical operations effectively.

Investigate the occurrence and resolution of extraneous solutions in algebraic problems, particularly focusing on radical equations and reversible operations. Develop the ability to identify extraneous solutions, verify the correctness of solutions, and comprehend the implications of algebraic operations. Enhance mathematical problem-solving skills through these activities.

Explore methods for graphing and solving systems of linear inequalities, with an emphasis on visualizing solutions through graphical representations. Develop skills in identifying solution sets, applying graphing strategies, and validating solutions to enhance understanding of algebraic processes.

Master the elimination method for solving systems of equations, including aligning equations, eliminating variables, and using multiplication to match terms. Acquire techniques to efficiently solve linear equations and apply these methods to tackle complex mathematical problems.