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

Circle the best answer, or write your answer on the line.
Ari multiplies (x³ + 2)(x² − 4x). Type powers like x^5. What is the product in standard form?
Esme multiplies (x⁴ − x)(3x² + 2). Type powers like x^5. What is the product in standard form?
Jun multiplies (x² + 4x)(x³ − 1). Type powers like x^5. What is the product in standard form?
Kira simplifies (2x + 1)(x + 3) − (x + 2)(x − 1). Type x² as x^2. What is the result in fewest terms?
Luz simplifies (x + 5)(x + 1) − (x − 2)(x + 3). Type x² as x^2. What is the result in fewest terms?
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?
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?
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?
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?
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?