Multiply binomials and polynomials, and use them for perimeter and area
Grade 9 Math Worksheet - Building Confidence
Circle the best answer, or write your answer on the line.
Kira draws the rectangle for (x + 3)(x + 5) and cuts it into four parts, one for each pair of terms. Type x² as x^2. What is the product in fewest terms?
Pia multiplies (x + 7)(x − 2) and gets x² + ?x − 14. What number goes where the ? is?
Ren multiplies (x − 8)(x + 3) and gets x² + ?x − 24. What number goes where the ? is?
Tala multiplies (x + 10)(x − 4) and gets x² + ?x − 40. What number goes where the ? is?
Zee multiplies (x − 9)(x + 2) and gets x² + ?x − 18. What number goes where the ? is?
Esme's tabletop is (x + 9) by (x + 4) inches (x > 0), so its area is (x + 9)(x + 4). Type x² as x^2. What is the area in fewest terms?
Jun's garden is (x + 7) by (x + 1) feet (x > 0), so its area is (x + 7)(x + 1). Type x² as x^2. What is the area in fewest terms?
Kira's photo frame is (2x + 5) cm by (x + 3) cm, with x at least 1. Its perimeter is 2(2x + 5) + 2(x + 3). What is the perimeter in fewest terms?
Luz's photo frame is (3x + 2) cm by (x + 6) cm, with x at least 1. Its perimeter is 2(3x + 2) + 2(x + 6). What is the perimeter in fewest terms?
Milo's photo frame is (4x + 1) cm by (x + 2) cm, with x at least 1. Its perimeter is 2(4x + 1) + 2(x + 2). What is the perimeter in fewest terms?