Distributive Property and Equation Solving

This video tutorial covers Math 7 Unit 6 Lesson 8, focusing on reasoning about solving equations using the distributive property and hanger diagrams. It explains how to identify equivalent expressions, solve for variables, and match equations to hanger diagrams. The lesson concludes with a summary and homework discussion.

What is the result of applying the distributive property to 2 * (x + 3)?

• 2x + 3

• 2x + 6

• x + 6

• 2x + 3x

Which of the following expressions is equivalent to 2 * (x + 3)?

• 2x + 6

• 2x + 3

• 2 + x + 3

• x + 3

How can the equation 14 = 2 * (x + 3) be interpreted in terms of a hanger model?

• Four groups of x + 3

• Three groups of x + 3

• Two groups of x + 3

• One group of x + 3

What is the value of x in the equation 14 = 2x + 6?

• 5

• 2

• 3

• 4

In the equation 2 * (x + 5) = 16, what is the first step to solve for x?

• Divide both sides by 2

• Add 5 to both sides

• Multiply both sides by 2

• Subtract 5 from both sides

Which equation matches a hanger with two groups of x + 5 equal to 16?

• x + 5 = 16

• 2x + 5 = 16

• 2 * (x + 5) = 16

• x + 5 = 8

What is the correct equation for a hanger with 5 groups of (2 + x) equal to 11?

• 5 * (2 + x) = 11

• x + 2 = 11

• 2 + 5x = 11

• 5x + 2 = 11

How do you correct a diagram that incorrectly represents 2x + 16 = 50?

• Remove boxes for x

• Add more boxes for x

• Separate boxes for x

• Combine boxes for x

What is the mistake in the diagram for 2x + 16 = 50?

• Using 16 instead of 15

• Using 2 + x instead of 2x

• Using 50 instead of 51

• Using x instead of 2x

What is the value of x in the corrected equation 2x + 16 = 50?

• 17

• 18

• 16

• 15