Scale Factors and Distributive Property

The video tutorial covers homework problems involving scientific notation, solving equations, scale factors, and systems of equations. It explains how to multiply and divide in scientific notation, solve for X using inverse properties, determine scale factors for shape transformations, and create a system of equations to compare savings growth.

What is the main task in problem 125?

• Find the scale factor between shapes.

• Solve for x in each equation.

• Compute each product or quotient and convert to scientific notation.

• Compute each sum and convert to decimal notation.

When multiplying in scientific notation, what do you do with the exponents?

• Subtract them.

• Add them.

• Divide them.

• Multiply them.

What is the result of multiplying 10^-2 by 10^-8?

• 10^-10

• 10^-16

• 10^6

• 10^10

How do you convert 14 to scientific notation?

• 1.4 x 10^1

• 0.14 x 10^2

• 1.4 x 10^0

• 14 x 10^0

What is the inverse property of addition?

• Addition

• Subtraction

• Division

• Multiplication

What is the solution for x in the equation 3x + 3 = 24?

• x = 9

• x = 8

• x = 6

• x = 7

What is the first step in using the distributive property?

• Divide each term inside the parentheses by the term outside.

• Subtract the terms inside the parentheses.

• Multiply each term inside the parentheses by the term outside.

• Add the terms inside the parentheses.

What is the result of distributing 3 over (2x - 3)?

• 6x + 9

• 5x - 3

• 5x + 3

• 6x - 9

What does a scale factor greater than 1 indicate?

• The shape remains the same size.

• The shape disappears.

• The shape is increasing in size.

• The shape is decreasing in size.

What is the scale factor from shape A to shape B if A is 8 and B is 20?

• 2.5

• 2.0

• 0.4

• 1.5