Understanding Equation Solving through Construction and Deconstruction

The video tutorial explains how to solve an equation using a construction and deconstruction approach. It begins by constructing the equation from a variable, detailing each operation step-by-step. The tutorial then reverses these steps in the deconstruction phase to solve for the variable. The solution is verified using a graphing calculator, ensuring the equation is satisfied. The tutorial concludes with a demonstration of the solution's correctness.

What is the first step in the construction story when solving the equation?

• Subtract seven-eighths

• Divide by four

• Multiply by three

• Add seven-eighths

Tags

CCSS.7.EE.B.3

In the construction story, what operation follows multiplying by three?

• Add seven-eighths

• Multiply by four

• Subtract seven-eighths

• Divide by four

Tags

CCSS.7.EE.B.4A

What is the final step in the construction story?

• Multiply by three

• Divide by four

• Add seven-eighths

• Subtract seven-eighths

Tags

CCSS.7.EE.B.4A

What is the first step in the deconstruction story?

• Subtract seven-eighths

• Divide by three

• Multiply by four

• Add seven-eighths

Tags

CCSS.HSA.REI.A.1

Which operation reverses dividing by four in the deconstruction story?

• Divide by three

• Multiply by four

• Add seven-eighths

• Subtract seven-eighths

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

What is the final step in the deconstruction story?

• Subtract seven-eighths

• Add seven-eighths

• Multiply by four

• Divide by three

Tags

CCSS.4.NF.B.4A

CCSS.4.NF.B.4B

How is dividing by three represented in the deconstruction story?

• Adding seven-eighths

• Multiplying by one-third

• Multiplying by four

• Subtracting seven-eighths

Tags

CCSS.7.EE.B.4A

What is the solution to the equation after performing the deconstruction steps?

• p = -3/8

• p = 3/4

• p = -1/2

• p = 1/2

Tags

CCSS.HSA.REI.A.2

What is the purpose of using a graphing calculator in this context?

• To solve the equation

• To perform multiplication

• To verify the solution

• To find the least common denominator

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

How can you convert a decimal to a fraction on a graphing calculator?

• Pressing graph, enter, enter

• Pressing mode, enter, enter

• Pressing clear, enter, enter

• Pressing math, enter, enter

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1