Section 7.3 Deliberate Practice: The Distributive Property
Algebra is a skill, which means it requires practice to become proficient. But it will take more than rote repetition to get there. Deliberate practice is the thoughtful repetition of a task. For each of these sections, you will be given a list of specific skills or ideas to focus on as you practice thinking through the problems.
Focus on these skills:
Write the original expression.
Visualize or draw out the multiplication grids.
Simplify by combining like terms.
Present your work legibly.
Worksheet Worksheet
Instructions: Calculate the product.
1.
Calculate \(3x(x^2 - 4)\text{.}\)
2.
Calculate \(2x^2 (4x^2 - 3x + 6)\text{.}\)
3.
Calculate \((x + 3)(x - 2)\text{.}\)
4.
Calculate \((x - 2)(x + 4)\text{.}\)
5.
Calculate \((2x + 3)(x - 1)\text{.}\)
6.
Calculate \((2x - 3)(-3x - 4)\text{.}\)
7.
Calculate \((x^2 + 4)(2x - 5)\text{.}\)
8.
Calculate \((2x^2 - 3x + 4)(x + 5)\text{.}\)
9.
Calculate \((x^2 - 2x + 5)(2x - 3)\text{.}\)
10.
Calculate \((x^2 - 3x - 2)(2x^2 - x + 4)\text{.}\)