Solving Equations and Factoring

The video tutorial covers expanding and factoring expressions using the distributive property, solving equations, and understanding inequalities. It provides step-by-step explanations and examples to help students grasp these mathematical concepts. The tutorial also includes a section where Lin learns about factoring with the help of diagrams and examples. The video concludes with a prompt to subscribe for more lessons.

What is the result of expanding the expression -1/4(-8x + 12y)?

• -2x + 3y

• 2x - 3y

• -2x - 3y

• 2x + 3y

When factoring the expression 36a - 16, what is the greatest common factor?

• 2

• 4

• 8

• 16

How can Karen explain factoring to Lin?

• As a way to multiply terms

• As a way to add terms together

• As a method to divide terms

• As the distributive property in reverse

What is the purpose of using boxes in factoring?

• To add terms

• To subtract terms

• To visualize common factors

• To divide terms

What is the greatest common factor used to complete the equation 25(3A + B)?

• 25

• 15

• 10

• 5

If Elena has 2/3 cup of white paint, how much blue paint does she need?

• 4 cups

• 6 cups

• 5 cups

• 3 cups

How much red paint is required if Elena uses 2/3 cup of white paint?

• 2 cups

• 1 cup

• 4 cups

• 3 cups

What is the solution to the equation D = -29?

• D = 1

• D = 29

• D = -29

• D = 0

What is the solution to the inequality -4X < 20?

• X < -5

• X < 5

• X > 5

• X > -5

What is the value of S in the equation 3.2S + 32 = 32?

• S = 0

• S = 1

• S = 3

• S = 2