Name:_________________________________
Algebra 1
Adding, Subtracting, and Multiplying Polynomials – Simplifying Polynomials – Shaded Area
1. Add or Subtract.
(4𝑥 2 − 7𝑥𝑦 + 12𝑦 2 ) + (5𝑥 2 − 8𝑥𝑦 − 9𝑦 2 )
(−12𝑥 2 − 8 + 10𝑥) − (3 − 9𝑥 + 8𝑥 2 )
(6𝑥 2 𝑦 2 − 3𝑥 2 𝑦 + 4𝑥𝑦 2 ) − (3𝑥 2 𝑦 2 − 5𝑥𝑦 2 + 𝑥 2 𝑦)
2. Multiply.
−4𝑥 2 𝑦(7𝑥 2 𝑦 2 − 3𝑥 2 𝑦 + 5𝑥𝑦 2 )
(8𝑥 2 − 5𝑥 + 3)(2𝑥 − 5)
(3𝑥 – 7𝑦)
2
3. Simplify.
(3x + 1)(2x – 3) + (4x – 2)2
(2x – 9)(x – 2) – 4x(4x – 3)
(3x – 4)2 – (5x + 3)(6x – 1)
4. Write an expression for the area and perimeter of the figure.
(4x + 1)
(4x + 1)
(6x + 3)
(4x + 1)
5. Find the area of the shaded region.
8x  7
5x
9x  5
5x
6. Find the area of the shaded region.
12 x  8
4x – 2
6x  2
9x  4
7. Write an expression that represents the area of this rectangle.
8. Write an expression that represents the shaded area.
8x  7
9x  5
2x + 3
2x + 3