Solving Linear Equations Concepts

The video tutorial covers Module 7, focusing on solving linear equations. It begins with a review of basic equations and terminology, then progresses to solving one-step and two-step equations. The tutorial also explains how to solve equations with variables on both sides, providing detailed steps and examples. Finally, a word problem is presented to apply the learned concepts.

What is the main focus of Module 7?

• Solving quadratic equations

• Solving linear equations with variables on both sides

• Graphing linear equations

• Understanding geometric shapes

In the equation 3x = -18, what is the term '3' referred to as?

• Coefficient

• Constant

• Exponent

• Variable

What is the first step in solving the equation 1/2x + 8 = 5?

• Divide both sides by 1/2

• Subtract 8 from both sides

• Add 8 to both sides

• Multiply both sides by 2

When solving equations with variables on both sides, what should you do first?

• Add all constants to one side

• Subtract the smaller coefficient from both sides

• Use inverse operations to move variable terms to one side

• Multiply both sides by the coefficient

In the equation 7x + 8 = 3x, what is the result after moving all variable terms to one side?

• 8 = 4x

• 8 = -4x

• 7x = 3x + 8

• 7x - 3x = 8

What is the final step in solving the equation x + 5 = 3x - 1?

• Multiply both sides by 3

• Divide both sides by 2

• Subtract 5 from both sides

• Add 1 to both sides

In the car rental word problem, what is the constant term for Andy's Rent-a-Car?

• $36

• $30

• $28

• $20

What is the coefficient of the variable in Buddy's Car Rentals equation?

• $20

• $28

• $30

• $36

How many days will it take for the rental cost to be the same for both companies?

• 7 days

• 8 days

• 9 days

• 10 days

What is the purpose of using inverse operations in solving equations?

• To eliminate constants

• To balance the equation

• To isolate the variable

• To simplify the equation