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
Kickoff

8 plays. No signup.

Warm-upeasy

Which expression is equivalent to 81−x281 - x^{2}?

81−x2=92−x2=(9−x)(9+x)81 - x^{2} = 9^{2} - x^{2} = (9 - x)(9 + x).

Mid-gameeasy

Which expression is equivalent to x2−64x^{2} - 64?

x2−64=x2−82=(x−8)(x+8)x^{2} - 64 = x^{2} - 8^{2} = (x - 8)(x + 8).

Mid-gameeasy

Which expression is equivalent to 49−x249 - x^{2}?

49−x2=72−x2=(7−x)(7+x)49 - x^{2} = 7^{2} - x^{2} = (7 - x)(7 + x).

Mid-gameeasy

Which expression is equivalent to 4x2−94x^{2} - 9?

4x2−9=(2x)2−32=(2x−3)(2x+3)4x^{2} - 9 = (2x)^{2} - 3^{2} = (2x - 3)(2x + 3).

Mid-gameeasy

Which expression is equivalent to 9x2−259x^{2} - 25?

9x2−25=(3x)2−52=(3x−5)(3x+5)9x^{2} - 25 = (3x)^{2} - 5^{2} = (3x - 5)(3x + 5).

Mid-gameeasy

Which expression is equivalent to 16x2−4916x^{2} - 49?

16x2−49=(4x)2−72=(4x−7)(4x+7)16x^{2} - 49 = (4x)^{2} - 7^{2} = (4x - 7)(4x + 7).

Mid-gameeasy

Which expression is equivalent to 25x2−3625x^{2} - 36?

25x2−36=(5x)2−62=(5x−6)(5x+6)25x^{2} - 36 = (5x)^{2} - 6^{2} = (5x - 6)(5x + 6).

Buzzer beatereasy

Which expression is equivalent to 4x2−814x^{2} - 81?

4x2−81=(2x)2−92=(2x−9)(2x+9)4x^{2} - 81 = (2x)^{2} - 9^{2} = (2x - 9)(2x + 9).

Overtime

2 more. Played, not assigned.

The rest of the bank lives inside live head-to-head matches — the placement test finds the right starting difficulty.

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Tests that cover difference of squares factoring:
SATPSAT 8/9SBACNY State MathMCAP
Reporting domains for this skill
SAT All grades: Advanced MathACT All grades: Preparing for Higher MathSTAAR Algebra I: Number and Algebraic MethodsSTAAR Algebra I: Quadratic Functions and EquationsMAP Growth Math 6+: Operations and Algebraic ThinkingSBAC High School: Concepts and Procedures
More Grade 9 skills
Interpreting data displaysConstraints and viable solutions (SAT)Discriminant analysisVolume word problems (ACT)Compound inequality situationsThe discriminant and quadratic formulaFind score from meanParallel and perpendicular slopes from slope-intercept formAll Grade 9 practice →

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