Question

the model represents a perfect square monomial.

what equation is represented by the model?

\\((4x^2)^2 = 8x^8\\)
\\((2x^2)^2 = 4x^4\\)
\\((2x)^2 = 4x^2\\)
\\((4x)^2 = 8x^2\\)

Explanation:

Identify the algebra tiles

Using the Algebra Tiles knowledge point

$$ \text{Each of the } 4 \text{ tiles represents } +x^2. $$

Find the total area

Using the Algebra Tiles knowledge point

$$ \text{Total Area} = x^2 + x^2 + x^2 + x^2 = 4x^2 $$

Determine the side lengths

Using the Algebra Tiles knowledge point

$$
LATEXBLOCK0
$$

Write the square equation

Using the Exponent Rules knowledge point

$$ (2x)^2 = 4x^2 $$

Answer:

• (A) \((4x^2)^2 = 8x^8\)
• (B) \((2x^2)^2 = 4x^4\)
• (C) \((2x)^2 = 4x^2\) (Correct answer)
• (D) \((4x)^2 = 8x^2\)