## Unit 4

## Equations and Inequalities

**Student Learning Objectives**

- Use variables to represent numbers and write expressions when solving real-world or mathematical problems.
- Solve an equation or inequality to answer the question: which values from a specified set, if any, make the equation or inequality true? and check the solution using substitution to determine whether a given number in a specified set makes an equation or inequality true.
- Write and solve one-step equations that represent real-world or mathematical problems.
- Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem and represent them on a number line diagram.
- Use variables to represent two quantities that change in relationship to one another in a real-world problem and write an equation to express one quantity, thought of as the dependent variable, in terms of another quantity, thought of as the independent variable.
- Analyze the relationship between the independent and dependent variables in an equation using graphs and tables.