Difference of squares factoring Practice Questions (Grade 9)

Difference of squares factoring. Game on.

Difference of squares factoring is a grade 9 math skill aligned to Common Core standard HSA.SSE.A.2: use the structure of an expression to identify ways to rewrite it. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 10 difference of squares factoring problems our math games drill.

CCSS HSA.SSE.A.210 questions in the bank

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Warm-upeasy

Which expression is equivalent to $81 - x^{2}$ ?

$81 - x^{2} = 9^{2} - x^{2} = (9 - x)(9 + x)$ .

Mid-gameeasy

Which expression is equivalent to $x^{2} - 64$ ?

$x^{2} - 64 = x^{2} - 8^{2} = (x - 8)(x + 8)$ .

Mid-gameeasy

Which expression is equivalent to $49 - x^{2}$ ?

$49 - x^{2} = 7^{2} - x^{2} = (7 - x)(7 + x)$ .

Mid-gameeasy

Which expression is equivalent to $4x^{2} - 9$ ?

$4x^{2} - 9 = (2x)^{2} - 3^{2} = (2x - 3)(2x + 3)$ .

Mid-gameeasy

Which expression is equivalent to $9x^{2} - 25$ ?

$9x^{2} - 25 = (3x)^{2} - 5^{2} = (3x - 5)(3x + 5)$ .

Mid-gameeasy

Which expression is equivalent to $16x^{2} - 49$ ?

$16x^{2} - 49 = (4x)^{2} - 7^{2} = (4x - 7)(4x + 7)$ .

Mid-gameeasy

Which expression is equivalent to $25x^{2} - 36$ ?

$25x^{2} - 36 = (5x)^{2} - 6^{2} = (5x - 6)(5x + 6)$ .

Buzzer beatereasy

Which expression is equivalent to $4x^{2} - 81$ ?

$4x^{2} - 81 = (2x)^{2} - 9^{2} = (2x - 9)(2x + 9)$ .

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Drill it inside a game.