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Section 27.3 Deliberate Practice: Practice with Negatives

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:

  • Do the problem mentally before drawing any part of the number line diagram.

  • You are free to draw as few or as many steps in your number line calculation as you find necessary.

  • Present your work legibly.

Worksheet Worksheet

Instructions: Perform the given calculation mentally, then draw out a number line diagram to perform the calculation.

1.

Calculate \(-34 + 18\) mentally and on number line.

2.

Calculate \(23 - 49\) mentally and on number line.

3.

Calculate \(55 - 27\) mentally and on number line.

4.

Calculate \(-48 + 32\) mentally and on number line.

5.

Calculate \(-32 + 58\) mentally and on number line.

6.

Calculate \(35 - 71\) mentally and on number line.

7.

Calculate \(45 - 18\) mentally and on number line.

8.

Calculate \(-328 + 455\) mentally and on number line.

9.

Calculate \(243 - 345\) mentally and on number line.

10.

Calculate \(-314 + 146\) mentally and on number line.