Question 1

Which algebraic expression is represented by the combination of one large white square, two white rectangles, and three small white squares using algebra tiles?

Accepted Answer

$x^2 + 2x + 3$

Question 2

What is the product of $(x + 2)(x + 3)$?

Accepted Answer

$x^2 + 5x + 6$

Question 3

If you use algebra tiles to model $(x + 4)(x + 1)$, what is the resulting polynomial?

Accepted Answer

$x^2 + 5x + 4$

Question 4

Which of the following represents the area model for $(2x - 1)(x + 3)$?

Accepted Answer

$2x^2 + 5x - 3$

Question 5

A red large square tile represents which algebraic term?

Accepted Answer

$-x^2$

Question 6

What is the expanded form of $(x + 5)(x - 1)$?

Accepted Answer

$x^2 + 4x - 5$

Question 7

If you multiply $(x + 2)$ by $(2x + 3)$, what is the resulting polynomial?

Accepted Answer

$2x^2 + 7x + 6$

Question 8

Which of the following is a correct interpretation of the product $(x + 3)(x + 5)$ using algebra tiles?

Accepted Answer

$x^2 + 8x + 15$

Question 9

A small red square tile represents which value?

Accepted Answer

$-1$

Question 10

Which of the following expressions is equivalent to the area model for $(x + 2)(x + 3)$?

Accepted Answer

$x^2 + 5x + 6$

Question 11

If you use algebra tiles to model $(x + 5)(x - 1)$, how many $x$-tiles and $1$-tiles would you need?

Accepted Answer

4 $x$-tiles and 5 $1$-tiles

Question 12

Which of the following is the correct expansion for $(x + 4)(x + 1)$?

Accepted Answer

$x^2 + 5x + 4$

Question 13

A white rectangle tile represents which algebraic term?

Accepted Answer

$x$

Question 14

Which of the following is the correct result for $(2x - 1)(x + 3)$?

Accepted Answer

$2x^2 + 5x - 3$

Question 15

If you multiply $(x + 2)$ by $(x + 3)$, what is the coefficient of the $x$ term in the expanded form?

Accepted Answer

$5$

Multiplying Polynomials Using Algebra Tiles

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