Grade 9 · Math · Algebra 1

9th grade Squares of binomials and the difference of squares worksheet

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Squares of binomials and the difference of squares

Grade 9 Math Worksheet

NameDate

Circle the best answer, or write your answer on the line.

Ren works out (2x − 5)² with an area model. Type x² as x^2. What is (2x − 5)² in standard form?
Tala works out (4x + 1)² with an area model. Type x² as x^2. What is (4x + 1)² in standard form?
Ari works out (6x − 1)² with an area model. Type x² as x^2. What is (6x − 1)² in standard form?
Bo multiplies (4x − 3)(4x + 3). Type x² as x^2. What is the product in fewest terms?
Esme multiplies (2x + 7)(2x − 7). Type x² as x^2. What is the product in fewest terms?
Kira multiplies (3x − 8)(3x + 8). Type x² as x^2. What is the product in fewest terms?
7.
Luz checks a special product. Which expression equals (x − 13)²?
- x² − 169
- x² − 13x + 169
- x² + 169
- x² − 26x + 169
8.
Milo checks a special product. Which expression equals (5x + 2)(5x − 2)?
- 5x² − 4
- 25x² − 20x + 4
- 25x² − 4
- 25x² + 4
9.
Noah checks a special product. Which expression equals (3x + 5)²?
- 3x² + 30x + 25
- 9x² + 25
- 9x² + 15x + 25
- 9x² + 30x + 25
10.
Pia checks a special product. Which expression equals (3x − 4)(3x + 4)?
- 9x² − 16
- 9x² − 24x + 16
- 9x² + 16
- 3x² − 16

Squares of binomials and the difference of squares. Every version has 10 questions, and the answer key prints on the second page.

Standard: A-SSE.A.2, A-APR.C.4

square of a binomial: A bracket times itself, like (x + 5)²: a square on the model.

difference of squares: (x + 7)(x − 7) = x² − 49: one square minus another.

middle term: The x term in the answer; in a square it is two equal parts.

Your child squared the first and last terms and left out the middle (writing (x + 5)² as x² + 25). Try: draw the square and fill in all four parts.

Your child wrote the middle term once instead of twice.

Your child doubled where the problem needed squaring (times 2 instead of times itself).

Ask: how many middle parts does the square have?

Ask: what does the small 2 in a power mean?

What is the most common mistake with squares of binomials and the difference of squares?

Your child squared the first and last terms and left out the middle (writing (x + 5)² as x² + 25). Try: draw the square and fill in all four parts.

Are these 9th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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