Squares of binomials and the difference of squares

Answer Key - Grade 9 Math Worksheet - Building Confidence

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

1. 1.

   Pia draws (x + 5)² as a square with side x + 5, cut into four parts. Type x² as x^2. What is (x + 5)² in fewest terms?

   x^2 + 10x + 25
2. 2.

   Ren draws (x + 8)² as a square with side x + 8, cut into four parts. Type x² as x^2. What is (x + 8)² in fewest terms?

   x^2 + 16x + 64
3. 3.

   Tala draws (x + 4)² as a square with side x + 4, cut into four parts. Type x² as x^2. What is (x + 4)² in fewest terms?

   x^2 + 8x + 16
4. 4.

   Zee draws (x − 7)² as a square with side x − 7, cut into four parts. Type x² as x^2. What is (x − 7)² in fewest terms?

   x^2 - 14x + 49
5. 5.

   Ari squares a binomial: (x − 6)² = x² + ?x + 36. What number goes where the ? is?

   -12
6. 6.

   Bo squares a binomial: (x + 9)² = x² + ?x + 81. What number goes where the ? is?

   18
7. 7.

   Esme squares a binomial: (x − 11)² = x² + ?x + 121. What number goes where the ? is?

   -22
8. 8.

   Luz multiplies (x − 10)(x + 10). On the area model, the two middle parts cancel. Type x² as x^2. What is the product in fewest terms?

   x^2 - 100
9. 9.

   Milo multiplies (x + 12)(x − 12). On the area model, the two middle parts cancel. Type x² as x^2. What is the product in fewest terms?

   x^2 - 144
10. 10.

    Noah multiplies (x − 4)(x + 4). On the area model, the two middle parts cancel. Type x² as x^2. What is the product in fewest terms?

    x^2 - 16