Multiplying Binomials: Double Distribute and Box Method

What is a binomial in mathematical terms?

• An expression with one term

• An expression with two terms

• An expression with three terms

• An expression with four terms

What does the double distribute method involve?

• Subtracting terms from two binomials

• Multiplying each term of one binomial by each term of another binomial twice

• Adding terms from two binomials

• Multiplying each term of one binomial by each term of another binomial once

What is the result of combining like terms 7x and 2x in the example given?

• 10x

• 14x

• 9x

• 5x

What does combining like terms involve in the context of binomial multiplication?

• Adding coefficients of the same variable terms

• Subtracting coefficients of different variable terms

• Multiplying coefficients of different variable terms

• Dividing coefficients of the same variable terms

What is the final simplified form of the product (x + 2)(x + 7) using the double distribute method?

• x^2 + 9x + 14

• x^2 + 7x + 14

• x^2 + 11x + 14

• x^2 + 5x + 14

Which of the following is a correct representation of distributing the term 2 in the binomial (2 + x)?

• 2 + (term in second binomial)

• 2 * (term in second binomial)

• 2 - (term in second binomial)

• 2 / (term in second binomial)

In the area model, how are terms arranged in the box setup?

• In a single row

• Each term on its own side of the box

• Randomly

• Diagonally

Which method might be preferred by visual learners?

• Double distribute method

• Area model method

• Single distribute method

• Factorization method

How does the area model visually represent the multiplication of binomials?

• Using a box divided into sections

• Using a linear equation

• Using a circular diagram

• Using a pie chart

What is the significance of the negative sign in terms when using the area model?

• It indicates subtraction between boxes

• It is ignored in the model

• It signifies that the term should be subtracted

• It has no significance