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

Grade 9 Math Worksheet - Challenge Me

NameDate

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

  1. Ari multiplies (x³ + 2)(x² − 4x). Type powers like x^5. What is the product in standard form?

  2. Esme multiplies (x⁴ − x)(3x² + 2). Type powers like x^5. What is the product in standard form?

  3. Jun multiplies (x² + 4x)(x³ − 1). Type powers like x^5. What is the product in standard form?

  4. Kira simplifies (2x + 1)(x + 3) − (x + 2)(x − 1). Type x² as x^2. What is the result in fewest terms?

  5. Luz simplifies (x + 5)(x + 1) − (x − 2)(x + 3). Type x² as x^2. What is the result in fewest terms?

  6. Pia pins a (x + 2) by (x + 1) poster on a (x + 6) by (x + 4) board (inches, x ≥ 2). Type x² as x^2. What area is not covered?

  7. Ren pins a (x + 1) by (x + 2) photo on a (2x + 3) by (x + 5) corkboard (inches, x ≥ 2). Type x² as x^2. What area is not covered?

  8. Tala plans a (x + 3) by (x − 1) patio in a (x + 8) by (x + 5) yard (meters, x ≥ 2). Type x² as x^2. What area is not covered?

  9. Zee lays a (x + 2) by (x + 3) rug on a (3x + 2) by (x + 4) floor (feet, x ≥ 2). Type x² as x^2. What area is not covered?

  10. Ari's box is x by (x + 2) by (x + 3) inches, with x at least 2. Type x³ as x^3. What is its volume in standard form?

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

Answer Key - Grade 9 Math Worksheet - Challenge Me

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

  1. Ari multiplies (x³ + 2)(x² − 4x). Type powers like x^5. What is the product in standard form?

    x^5 - 4x^4 + 2x^2 - 8x
  2. Esme multiplies (x⁴ − x)(3x² + 2). Type powers like x^5. What is the product in standard form?

    3x^6 + 2x^4 - 3x^3 - 2x
  3. Jun multiplies (x² + 4x)(x³ − 1). Type powers like x^5. What is the product in standard form?

    x^5 + 4x^4 - x^2 - 4x
  4. Kira simplifies (2x + 1)(x + 3) − (x + 2)(x − 1). Type x² as x^2. What is the result in fewest terms?

    x^2 + 6x + 5
  5. Luz simplifies (x + 5)(x + 1) − (x − 2)(x + 3). Type x² as x^2. What is the result in fewest terms?

    5x + 11
  6. Pia pins a (x + 2) by (x + 1) poster on a (x + 6) by (x + 4) board (inches, x ≥ 2). Type x² as x^2. What area is not covered?

    7x + 22
  7. Ren pins a (x + 1) by (x + 2) photo on a (2x + 3) by (x + 5) corkboard (inches, x ≥ 2). Type x² as x^2. What area is not covered?

    x^2 + 10x + 13
  8. Tala plans a (x + 3) by (x − 1) patio in a (x + 8) by (x + 5) yard (meters, x ≥ 2). Type x² as x^2. What area is not covered?

    11x + 43
  9. Zee lays a (x + 2) by (x + 3) rug on a (3x + 2) by (x + 4) floor (feet, x ≥ 2). Type x² as x^2. What area is not covered?

    2x^2 + 9x + 2
  10. Ari's box is x by (x + 2) by (x + 3) inches, with x at least 2. Type x³ as x^3. What is its volume in standard form?

    x^3 + 5x^2 + 6x