 ## Grade 8 Math: Linear Equations in One Variable III

In this topic, the student is introduced to slightly more difficult linear equations. This series of six lessons includes solving linear equations when there are fractions, solving linear equations with decimals, solving linear equations with variables on both sides, and determining whether there is one, no, or infinitely many solutions.

This topic furthers the students understanding of linear equations in one variable.

### Solving Linear Equations with Fractions – Eliminating Like Denominators

In this lesson, students are introduced to solving linear equations with fractions. This lesson explains how to solve linear equations when all of the fractions have the same denominator. The student learns about two options: solving the equation with fractions, or eliminating the denominator. The elimination method is shown to be easier as we can reduce the problems to linear equations with integers, which the student already knows how to solve.

### Solving Linear Equations with Fractions – Eliminating Unlike Denominators

In this lesson, the student expands their knowledge of linear equations with fractions. This lesson introduces linear equations with fractional values where the fractions need not have the same denominator. The instruction teaches the student how to eliminate the denominators in order to reduce the problem to a linear equation with integer values.

### Linear Equations with Decimals

In this lesson, the student learns to solve linear equations with decimal values.

### Solving Linear Equations: Simplify then Solve

This lesson teaches the student how to handle more difficult linear equations. Generally there is a distribution step in the examples, which adds to the difficulty of the linear equations.

### Solving Linear Equations with Variables on Both Sides

This lesson introduces the student to solving linear equations where variables occur on both sides.

### Linear Equations with Infinite or No Solutions

This lesson uses the previous lesson to introduce linear equations that may not have a solution, in addition to linear equations that have infinitely many solutions.

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