Question 1

Which of the following is the correct expansion of $(x + 2)(x + 4)$?

Accepted Answer

$x^2 + 6x + 8$

Question 2

A rectangular garden has a length of $(x + 2)$ meters and a width of $(x + 7)$ meters. What is the area of the garden in terms of $x$?

Accepted Answer

$x^2 + 9x + 14$

Question 3

Expand and simplify $(2x + 1)(x - 5)$.

Accepted Answer

$2x^2 - 9x - 5$

Question 4

Which of the following is the result of multiplying $(k - 4)(k + 5)$?

Accepted Answer

$k^2 + k - 20$

Question 5

A company wants to build a rectangular billboard with a height of $(3x + 1)$ meters and a width of $(3x + 2)$ meters. What is the area of the billboard in terms of $x$?

Accepted Answer

$9x^2 + 9x + 2$

Question 6

Expand and simplify $(x + 4)^2$.

Accepted Answer

$x^2 + 8x + 16$

Question 7

Which of the following expressions is equivalent to $(2a + 5b)(a - 4b)$?

Accepted Answer

$2a^2 - 3ab - 20b^2$

Question 8

Expand and simplify $(x + 5)(x^2 + 4x - 8)$.

Accepted Answer

$x^3 + 9x^2 + 12x - 40$

Question 9

Which of the following is the correct expansion of $(4m + n)(m - 2n)$?

Accepted Answer

$4m^2 - 7mn - 2n^2$

Question 10

A square plot of land has a side length of $(p - 7)$ meters. What is the area of the plot in terms of $p$?

Accepted Answer

$p^2 - 14p + 49$

Question 11

Expand and simplify $(3a + 4b)(3a - 4b)$.

Accepted Answer

$9a^2 - 16b^2$

Question 12

Which of the following is the result of multiplying $(2w + 1)(2w - 1)$?

Accepted Answer

$4w^2 - 1$

Question 13

Expand and simplify $(k + 4)(3k + 2)$.

Question 14

Expand and simplify $(x + 1)(x - 1)$.

Accepted Answer

$x^2 - 1$

Question 15

A rectangular field has a length of $(5x + 2)$ meters and a width of $(3x - 1)$ meters. What is the area of the field in terms of $x$?

Accepted Answer

$15x^2 + x - 2$

Question 16

Expand and simplify $(2r + s)(2r - s)$.

Question 17

Which of the following is the correct expansion of $(x + 4)(x^2 + 3x - 6)$?

Accepted Answer

$x^3 + 7x^2 + 6x - 24$

Question 18

Expand and simplify $(a + 3b)^2$.

Accepted Answer

$a^2 + 6ab + 9b^2$

Question 19

A company is designing a square logo with side length $(4m + 1)$ centimeters. What is the area of the logo in terms of $m$?

Accepted Answer

$16m^2 + 8m + 1$

Step-by-Step Guidance: Multiplying Binomials and Trinomials in College Algebra

Study Guide - Practice Questions

Study Guide - Flashcards