Solving Equations and Functions

This video tutorial covers solving two-step equations involving negative numbers, using inverse operations to isolate variables. It explains temperature conversion between Fahrenheit and Celsius using formulas, and the concept of reciprocals and multiplicative inverses. A real-world problem involving airplane descent is solved, demonstrating the application of these mathematical concepts. The lesson concludes with a summary of key takeaways.

What is the first step in solving a two-step equation with negative numbers?

• Subtract a positive number from both sides

• Add a positive number to both sides

• Multiply both sides by zero

• Divide both sides by zero

In the equation -4 + 2c = 16, what operation is used to eliminate -4?

• Subtract 4 from both sides

• Multiply both sides by 4

• Add 4 to both sides

• Divide both sides by 4

What is the formula to convert Fahrenheit to Celsius?

• C = (F + 32) * 5/9

• C = (F + 32) * 9/5

• C = (F - 32) * 5/9

• C = (F - 32) * 9/5

What is the reciprocal of 5/9?

• 5/9

• 9/5

• 1/5

• 1/9

How many minutes will it take for a plane to descend from 32,000 feet to 18,000 feet at a rate of 500 feet per minute?

• 32 minutes

• 28 minutes

• 18 minutes

• 14 minutes

What is the benefit of dividing each term by a power of ten in an equation?

• It eliminates the need for variables

• It makes the numbers larger

• It simplifies the equation

• It makes the numbers more complex

What is the identity property in the context of solving equations?

• One times any number equals that number

• Zero times any number equals zero

• Any number divided by one equals zero

• Any number plus zero equals one