Description

As one of the most fundamental skills in Algebra, we investigate how to solve linear equations in one variable; solve literal equations and formulas; how to solve linear equations involving absolute values; solving linear inequalities and linear inequalities involving absolute value. This topic finishes by exploring how to apply solving equations and inequalities to real world scenarios by translating words into symbols.

Sections of this topic include:

1. Solving Linear Equations in One Variable

   We begin by investigating how to solve linear equations in one variable using properties of equality. Groups in this section include: solving linear equations; solving linear equations and determining conditional equations or identities; and solving linear equations using the distributive property.

2. From Words to Symbols. An Introduction to Applied Problems

   By being able to translate phrases of mathematics into symbols, expressions and equations, we can begin to solve applied problems. The group in this section is translating phrases into algebraic expressions.

3. Literal Equations and Formulas

   Another application of solving linear equations is to solve a literal equation or formula for a variable. Groups within this section include: solving literal equations for a variable, interpreting literal equations, evaluating literal equations; using literal equations to solve applications.

4. Solving Linear Equations Involving Absolute Value

   Building upon our skills of solving linear equations in one variable, we investigate how to solve linear equations involving absolute value symbols.

5. Solving Linear Inequalities

   If we can solve linear equations in one variable, what prevents us to solve linear inequalities in one variable? Groups in this section include: writing sets in interval notation; solving linear inequalities; solving harder linear inequalities; and solving linear inequalities involving intersection and union.

6. Solving Linear Inequalities Involving Absolute Value

   Combining our abilities to solve absolute value equations and also inequalities, we investigate how to solve linear inequalities involving absolute value. The group contained in this section is rewriting inequalities as compound inequalities.

7. More Applications

   This section addresses applying linear equations and inequalities to real world scenarios.