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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