Multiply binomials and polynomials, and use them for perimeter and area

Grade 9 Math Worksheet

NameDate

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

  1. Pia multiplies (2x + 3)(x − 4) with an area model. Type x² as x^2. What is the product in fewest terms?

  2. Zee multiplies (2x − 5)(3x − 2) with an area model. Type x² as x^2. What is the product in fewest terms?

  3. Esme uses a 2-by-3 area model for (x − 3)(x² + 2x − 1). Type x³ as x^3. What is the product in standard form?

  4. Jun uses a 2-by-3 area model for (2x + 1)(x² − 4x + 3). Type x³ as x^3. What is the product in standard form?

  5. Kira uses a 2-by-3 area model for (x − 5)(x² + x + 2). Type x³ as x^3. What is the product in standard form?

  6. Luz's vegetable garden is (3x − 2) meters by (x + 4) meters, with x at least 1. Type x² as x^2. What is its area in fewest terms?

  7. Milo's patio is (2x + 5) feet by (2x − 1) feet, with x at least 1. Type x² as x^2. What is its area in fewest terms?

  8. Noah's wall painting is (x + 6) feet by (4x − 3) feet, with x at least 1. Type x² as x^2. What is its area in fewest terms?

  9. Tala's door sign is (2x² − 1) inches by (x + 6) inches, with x at least 1. Type x² as x^2. What is its perimeter in fewest terms?

  10. Zee's window is (x² + x) inches by (3x + 4) inches, with x at least 1. Type x² as x^2. What is its perimeter in fewest terms?

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Multiply binomials and polynomials, and use them for perimeter and area

Answer Key - Grade 9 Math Worksheet

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

  1. Pia multiplies (2x + 3)(x − 4) with an area model. Type x² as x^2. What is the product in fewest terms?

    2x^2 - 5x - 12
  2. Zee multiplies (2x − 5)(3x − 2) with an area model. Type x² as x^2. What is the product in fewest terms?

    6x^2 - 19x + 10
  3. Esme uses a 2-by-3 area model for (x − 3)(x² + 2x − 1). Type x³ as x^3. What is the product in standard form?

    x^3 - x^2 - 7x + 3
  4. Jun uses a 2-by-3 area model for (2x + 1)(x² − 4x + 3). Type x³ as x^3. What is the product in standard form?

    2x^3 - 7x^2 + 2x + 3
  5. Kira uses a 2-by-3 area model for (x − 5)(x² + x + 2). Type x³ as x^3. What is the product in standard form?

    x^3 - 4x^2 - 3x - 10
  6. Luz's vegetable garden is (3x − 2) meters by (x + 4) meters, with x at least 1. Type x² as x^2. What is its area in fewest terms?

    3x^2 + 10x - 8
  7. Milo's patio is (2x + 5) feet by (2x − 1) feet, with x at least 1. Type x² as x^2. What is its area in fewest terms?

    4x^2 + 8x - 5
  8. Noah's wall painting is (x + 6) feet by (4x − 3) feet, with x at least 1. Type x² as x^2. What is its area in fewest terms?

    4x^2 + 21x - 18
  9. Tala's door sign is (2x² − 1) inches by (x + 6) inches, with x at least 1. Type x² as x^2. What is its perimeter in fewest terms?

    4x^2 + 2x + 10
  10. Zee's window is (x² + x) inches by (3x + 4) inches, with x at least 1. Type x² as x^2. What is its perimeter in fewest terms?

    2x^2 + 8x + 8