FMCC Deliberate Practice: The Distributive Property

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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
A4 US

Instructions: Calculate the product.

1.

Calculate $3 x (x^{2} - 4) .$

2.

Calculate $2 x^{2} (4 x^{2} - 3 x + 6) .$

3.

Calculate $(x + 3) (x - 2) .$

4.

Calculate $(x - 2) (x + 4) .$

5.

Calculate $(2 x + 3) (x - 1) .$

6.

Calculate $(2 x - 3) (- 3 x - 4) .$

7.

Calculate $(x^{2} + 4) (2 x - 5) .$

8.

Calculate $(2 x^{2} - 3 x + 4) (x + 5) .$

9.

Calculate $(x^{2} - 2 x + 5) (2 x - 3) .$

10.

Calculate $(x^{2} - 3 x - 2) (2 x^{2} - x + 4) .$