Worksheets — Set 4

Pre-calculus · Honors · Sequences, series, and limits (intro)

Print and write your answers. Use diagrams to show thinking.

Warm-up

1. Factor completely: x² − 64 = ___ 2. Rewrite x² + 16x + 14 in square form: ___ 3. Interpret the structure of: 7(x + 1)² − 9

_See printable PDF for diagram._

Written practice

1. Factor completely: x² − 49 = ___ 2. Rewrite x² + 14x + 13 in square form: ___ 3. Interpret the structure of: 6(x + 1)² − 8 4. Which form reveals zeros? (A) standard (B) factored — letter: ___ 5. Complete the square for x² + 8x + ___ 6. Simplify: √(x² + 8x + 16) for x ≥ 0 = ___ 7. Factor completely: x² − 100 = ___ 8. Rewrite x² + 20x + 16 in square form: ___

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More written practice

1. Interpret the structure of: 9(x + 1)² − 11 2. Complete the square for x² + 11x + ___ 3. Simplify: √(x² + 14x + 49) for x ≥ 0 = ___ 4. Factor completely: x² − 169 = ___ 5. Rewrite x² + 26x + 19 in square form: ___ 6. Interpret the structure of: 12(x + 1)² − 14

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Patterns and rules

1. Factor completely: x² − 576 = ___ 2. Rewrite x² + 48x + 30 in square form: ___ 3. Interpret the structure of: 23(x + 1)² − 25

_See printable PDF for diagram._

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Parent tip: Look for common factors and special patterns