Multiply binomials and polynomials, and use them for perimeter and area
Grade 9 Math Worksheet

Circle the best answer, or write your answer on the line.
Pia multiplies (2x + 3)(x − 4) with an area model. Type x² as x^2. What is the product in fewest terms?
Ren multiplies (3x − 1)(x + 5) with an area model. Type x² as x^2. What is the product in fewest terms?
Tala multiplies (x − 6)(4x + 1) with an area model. Type x² as x^2. What is the product in fewest terms?
Ari multiplies (5x + 2)(x − 3) with an area model. Type x² as x^2. What is the product in fewest terms?
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?
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?
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?
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?
Pia's quilt is (5x − 4) feet by (x + 2) feet, with x at least 1. Type x² as x^2. What is its area in fewest terms?
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?