Lesson 1 a Solving Equations After this lesson

Lesson 1. a: Solving Equations • After this lesson you will be able to: – Solve an equation for a variable – Solve equations involving fractions and/or decimals – Use order of operations to solve for a variable – Solve an equation where the variable appears on both sides of the equal sign – Solve equations requiring you to collect like terms – Solve complex equations involving many skills

Solve an equation for a variable Problem 1: Solve the equation for x. • What is our goal? • What mathematical steps are need to achieve that goal?

Solve equations involving fractions Problem 2: Solve the equation for x: Steps:

Solve equations involving fractions Problem 3: Solve the equation for x: 3 x – 6 = 8 x -3 Steps:

Solve equations requiring you to collect like terms Problem 4: Solve the equation for n: Steps:

Use order of operations to solve for a variable Problem 5 Steps:

Solve an equation where the variable appears on both sides of the equal sign Problem 6: Solve the equation for p Steps:

Solve complex equations involving many skills Problem 7: Solve the equation for x: Steps:

Let’s get a set of general steps we can follow: To solve an equation: 1. Combine like terms. 2. Isolate the terms that contain the variable you wish to solve for. 3. Isolate the variable you wish to solve for. 4. Substitute your answer into the original equation and check that it works.

TOTD • Complete 1. a questions.

Homework: • Lesson 1. a solve multi-step equations • Both sides, 10 questions