Exploring 2-Step Equation Modeling Techniques

The video tutorial covers modeling and solving two-step equations using three different methods: balanced models, algebra tiles, and cups and chips. The instructor explains each method step-by-step, demonstrating how to use inverse operations and zero pairs to solve equations. Students are encouraged to practice these techniques to reinforce their understanding.

What are the three types of models discussed in the video for solving equations?

• Balance, algebra tiles, and cups and chips

• Graphs, charts, and diagrams

• Functions, variables, and coefficients

• Equations, expressions, and calculations

In the balance model, what does a green rectangle represent?

• A zero pair

• A positive one

• A negative one

• A positive x

What operation is used to balance the equation in the balance model?

• Addition

• Subtraction

• Multiplication

• Division

How many positive ones does each x hold in the balance model solution?

• Four

• Three

• One

• Two

What is the first step in solving the equation using algebra tiles?

• Remove zero pairs

• Subtract six negatives

• Add six positives to each side

• Distribute positives among x's

What does each x equal to in the algebra tiles model?

• Four positives

• Two positives

• One positive

• Three positives

In the cups and chips model, what does an upward facing cup represent?

• A negative one

• A positive one

• A negative x

• A positive x

What is the result of adding six positives to both sides in the cups and chips model?

• None of the above

• Balancing the equation

• Creating zero pairs

• Solving for x

How many chips does each cup hold in the final solution of the cups and chips model?

• Four

• Three

• One

• Two

What is the final task for students after watching the video?

• Write an equation and solve for x

• Review the video again

• Discuss with peers

• None of the above