Grade 9 · Math · Algebra 1

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

6 printable versionsChallenge Me10 questions · answer keyFree · no account

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Squares of binomials and the difference of squares

Grade 9 Math Worksheet - Challenge Me

NameDate

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

Ren works out (2x + 3y)², which has two letters. Type x² as x^2 and y² as y^2. What is (2x + 3y)² in standard form?
Zee works out (5x − 2y)², which has two letters. Type x² as x^2 and y² as y^2. What is (5x − 2y)² in standard form?
Ari works out (3x + y)², which has two letters. Type x² as x^2 and y² as y^2. What is (3x + y)² in standard form?
Esme finds 29² without a calculator by writing it as (30 − 1)². What is 29²?
Jun finds 52² without a calculator by writing it as (50 + 2)². What is 52²?
Kira finds 57 × 63 without a calculator by writing it as (60 − 3)(60 + 3). What is 57 × 63?
Luz finds 46 × 54 without a calculator by writing it as (50 − 4)(50 + 4). What is 46 × 54?
Milo finds 69 × 71 without a calculator by writing it as (70 − 1)(70 + 1). What is 69 × 71?
Noah simplifies (x + 3)² − (x − 5)(x + 5). Type x² as x^2. What is the result in fewest terms?
Ren simplifies (x − 6)² − (x + 2)(x − 2). Type x² as x^2. What is the result in fewest terms?

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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