Multiplying Monomials and Binomials — Unit test Answers

The model represents a perfect square monomial.What equation is represented by the model?

What is the product?(5r − 4)(r2 − 6r + 4)

The area of a square can be represented by the expression x10. Which monomial represents a side of the square?

Rodney models the factorization of a trinomial with algebra tiles as shown.

The variables X, Y, and Z represent polynomials where X = a, Y = 3a – 5, and Z = a2 + 2. What is X2Y – Z in simplest form?

Which statement is true about the polynomial –10m4n3 + 8m2n6 + 3m4n3 – 2m2n6 – 6m2n6 after it has been fully simplified?

Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x3 + 30x – 130. The cost, in dollars, of producing the skateboards can be modeled by 2x3 – 3x – 520. The variable x represents the number of skateboards sold.

Which is a factor of x2 + 5x − 24?

Four students are verifying thatx2 + x– 12 = (x – 3)(x + 4). Their conclusions are presented in the table.Which student correctly verified that x2 + x – 12 = (x – 3)(x + 4)?

The polynomial 8x2 – 8x + 2 – 5 + x is simplified to 8x2 – gx – h. What are the value of g and h?

Logan saves the same amount of money each month for college. His current total savings is 300m2 + 120m + 180 dollars. Which factorization could represent the number of months and amount of a monthly deposit in dollars?

Armando used algebra tiles to represent the product .

Which statement is true about the polynomial –3x4y3 + 8xy5 – 3 + 18x3y4 – 3xy5 after it has been fully simplified?

What is the factorization of 81a6 - 100?