2: Solving Linear Equations, Formulas, and Inequalities
- Page ID
- 54951
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In this chapter, you will explore linear equations, develop a strategy for solving them, and relate them to real-world situations.
- 2.1: Prelude to Solving Linear Equations
- Law enforcement and the military are using drones rather than send personnel into dangerous situations. Building and piloting a drone requires the ability to program a set of actions, including taking off, turning, and landing. This, in turn, requires the use of linear equations.
- 2.2: Use a General Strategy to Solve Linear Equations
- Solving an equation is like discovering the answer to a puzzle. The purpose in solving an equation is to find the value or values of the variable that makes it a true statement. Any value of the variable that makes the equation true is called a solution to the equation. It is the answer to the puzzle!
- 2.3: Use a Problem Solving Strategy
- Now that we can solve equations, we are ready to apply our new skills to word problems. We will develop a strategy we can use to solve any word problem successfully.
- 2.4: Solve a Formula for a Specific Variable
- Formulas are used in so many fields, it is important to recognize formulas and be able to manipulate them easily. It is often helpful to solve a formula for a specific variable. If you need to put a formula in a spreadsheet, it is not unusual to have to solve it for a specific variable first. We isolate that variable on one side of the equals sign with a coefficient of one and all other variables and constants are on the other side of the equal sign.
- 2.7: Solve Applications with Linear Inequalities
- Many real-life situations require us to solve inequalities. In fact, inequality applications are so common that we often do not even realize we are doing algebra. The method we will use to solve applications with linear inequalities is very much like the one we used when we solved applications with equations.