Multiplying Binomials Quiz

What defines a binomial in algebra?

• A single term with a variable

• Three terms in a sequence

• Two terms separated by addition or subtraction

• A term with an exponent

Why do we use the distributive property in multiplying binomials?

• To divide terms equally

• To subtract terms from each other

• To multiply each term in one binomial by each term in the other

• To add terms together

What is the first step in the double distribution method?

• Subtract the terms from each other

• Divide the terms by a common factor

• Add all terms together

• Multiply the first term of the first binomial by the first term of the second binomial

What does the 'F' in FOIL stand for?

• First

• Fraction

• Formula

• Factor

In the FOIL method, which terms are multiplied for the 'O' step?

• The first terms of each binomial

• The inner terms of the binomials

• The outer terms of the binomials

• The last terms of each binomial

What is the result of combining like terms in the expression 2x^2 + 5x + 6x + 15?

• 2x^2 + 5x + 21

• 2x^2 + 15x + 15

• 2x^2 + 5x + 6x + 15

• 2x^2 + 11x + 15

In the example problem, what is the result of distributing 4X through the second binomial?

• -4x^2 + 28x

• 4x^2 + 28x

• -4x^2 - 28x

• 4x^2 - 28x

What is the final answer for the example problem using both methods?

• 4x^2 + 36x - 56

• 4x^2 - 36x + 56

• -4x^2 + 36x - 56

• -4x^2 - 36x + 56

In the practice problem, what is the result of multiplying the first terms in each binomial?

• -4x^2

• -2x^2

• 4x^2

• 2x^2

What is the final simplified expression for the practice problem?

• -2x^2 + 12x - 14

• 2x^2 + 12x + 14

• -2x^2 - 12x + 14

• 2x^2 - 12x - 14