Solving Two Step Equations with Models

The video tutorial explains how to solve equations by building them from models. It begins with an introduction to the concept, followed by a demonstration of constructing equations from visual models. The instructor then solves two example equations, highlighting the steps involved, including handling negative coefficients and using inverse operations. The focus is on understanding the process of building and solving equations using models.

What is the first step in solving an equation?

• Subtract the constant

• Ensure it is an addition problem

• Multiply by the coefficient

• Divide by the coefficient

What should you do if the equation is not an addition problem?

• Multiply by the coefficient

• Divide by the constant

• Subtract the coefficient

• Add the opposite of the constant

How do you build an equation from a model?

• By asking a friend

• By using a calculator

• By looking at the model and identifying the components

• By guessing the values

In the first example, what is the equation formed from the model?

• 2x + 4 = 6

• 3x - 4 = 2

• 3x + 4 = 6

• 2x - 4 = 6

What is the inverse operation of multiplication by 3?

• Division by 3

• Subtraction by 3

• Multiplication by 3

• Addition by 3

In the second example, what is the equation formed from the model?

• 2x - 5 = 2

• 2x + 5 = 2

• 3x - 5 = 2

• 3x + 5 = 2

What is the result of dividing a negative number by another negative number?

• An undefined number

• A positive number

• A negative number

• Zero

What is the final value of x in the second example?

• 1

• 2.5

• 1.5

• 2

What is the main purpose of using models in solving equations?

• To make the process more complex

• To build the equation visually

• To avoid solving the equation

• To guess the solution

What should you do after building the equation from the model?

• Guess the solution

• Solve it using normal methods

• Ignore it

• Ask someone else to solve it