Equations, Inequalities, and Problem Solving

Linear equations and inequalities covers their applications to problem solving, including absolute values, graphing and inequalities with 2 variables Topics include:

Equations, Inequalities and Problem Solving

80 ChAPTEr 2 Equations, Inequalities, and Problem Solving
Photo provided by

Chapter 2: Equations, Inequalities and Problem Solving

5.4 Solving Rational Equations

5.5 Rational Inequalities

5.6 Models Involving Rational Equations
4. Model and Solve Uniform Motion Problems

Equations, Inequalities and Problem Solving

This is an online equation solver that can solve not only equations, but almost any algebra problem you enter—solve equations, simplify expressions, factor expressions, solve inequalities, solve matrices, solve systems of equations, graph equations, and much more.

CHAPTER 2 Equations, Inequalities, and Problem Solving
Photo provided by

Chapter 2 Equations, Inequalities, and Problem Solving

At this point in their learning, students are familiar with proportional relationships. They have used tables, graphs and equations to represent and solve problems that involve proportional relationships. In this standard, students use this background to move into representing and solving linear equations and inequalities. It is essential for students to make connections to real situations in order to make sense out of this representation. Students need to be able to use information to find the rate of change and the y-intercept and then write the equation describing the relationship represented in the situation. Once students can write the equations and inequalities, the focus is on solving. Students will explore solving linear equations, inequalities, equations containing absolute value, and equations with the variables being squared. It is important for students to continue looking at tables and graphs as well as symbolic representations to find their solutions. Sense-making comes when they can see the solutions in more than one representation. It is crucial for students to be comfortable using the graph and table to find solutions as they move into solving systems of equations and inequalities. The graph paints a picture of the situation and solution that is more of a visual representation for students. When working with just the symbolic method, the meaning of the solution is often lost. Knowing if their answer makes sense is an essential part of students' understanding when solving equations and inequalities.

Equations, Inequalities, and Problem Solving - ppt download

The object of solving equations and inequalities is to discover which number or numbers will create a true statement in the given expression. The main techniques you use to find such solutions include factoring, applying the multiplication property of zero, creating sign lines, finding common denominators, and squaring both sides of an equation.Your challenge is to determine which techniques work in a particular problem and whether you have a correct solution after applying those techniques.

9 Equations, Inequalities, and Problem Solving - Learning Ace

Get your students successfully understanding and solving EQUATIONS & INEQUALITIES real-world word problems with these PROBLEM SOLVING GRAPHIC ORGANIZERS.