1. What is the simplified form of (x – 2)(2x +3)? Use the Distributive Property.
= (x)(2x) + (3)(x) - (2)(2x) - (2)(3)
= 2x^2 + 3x - 4x - 6
= 2x^2 - x - 6
Answer
2x^2 - x – 6
2. What is the simplified form of (3x + 2)(4x – 3)? Use a table.
| 3x 2
--------|-----------------------------------------
4x | 12x^2 8x
--------|---------------------------------------------
-3 | -9x -6
---------------------------------------------------------Add
12x^2 + 8x - 9x - 6
= 12x^2 -x - 6
Answer
12x^2 – x – 6
3. What is the simplified form of (4p – 2)(p – 4)?
(4p – 2)(p – 4)
= (4p)(p) - (4p)(4) - (2)(p) - (2)(-4)
=4p^2 - 16p - 2p + 8
= 4p^2 - 18p + 8
Answer
4p^2 – 18p + 8
4. The radius of a cylinder is 3x – 2 cm. The height of the cylinder is x + 3 cm. What is the surface area of the cylinder? Use the formula A = 2r2 + 2rh.
A = 2r2 + 2rh
A = 2( 3x – 2)^2 + 2 (3x – 2)(x + 3 )
A = 2(9x^2 - 12x + 4) + 2(3x^2 + 7x - 6)
A = 18x^2 - 24x + 8 + 6x^2 + 14x - 12
A = 24x^2 - 10x - 4
Answer
A = 24x^2 - 10x - 4
