Isolating Variables and Relationships

The video tutorial covers the sixth-grade concept of writing equations from tables, focusing on a specific problem from the 2021 STAAR test. It explains the relationship between the number of slices and total calories, identifies the rule of multiplication by 70, and formulates the equation c = 70b. The tutorial also analyzes incorrect answer choices, highlighting common mistakes.

What is the main topic discussed in the video?

• Understanding fractions

• Writing equations from tables

• Solving quadratic equations

• Graphing linear equations

What does the variable 'b' represent in the table?

• Number of slices

• Total calories

• Total cost

• Number of people

What is the relationship between the number of slices and total calories?

• No relationship

• Inversely proportional

• Exponentially related

• Directly proportional

What are the two possible operations considered to find the rule?

• Multiplication and division

• Addition and subtraction

• Subtraction and division

• Addition and multiplication

How do you isolate the variable 'b' in the equation 2b = 140?

• Multiply both sides by 2

• Divide both sides by 2

• Add 2 to both sides

• Subtract 2 from both sides

What is the value of 'b' when 2b = 140?

• 35

• 70

• 140

• 280

What is the rule that relates the number of slices to the total calories?

• Add 70

• Subtract 70

• Divide by 70

• Multiply by 70

Which of the following is the correct equation for the relationship?

• c = b + 140

• c = 140b

• c = 70b

• c = 70 + b

Why is the option '2 + 70' incorrect?

• It uses the wrong numbers

• It uses the wrong operation

• It is not related to the problem

• It is not an equation

What mistake did the option '140 times b' make?

• Incorrect division

• Incorrect addition

• Incorrect multiplication

• Incorrect subtraction