Worksheets — Set 18

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

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

Warm-up

1. Factor completely: x² − 484 = ___ 2. Rewrite x² + 44x + 28 in square form: ___ 3. Interpret the structure of: 21(x + 1)² − 23

_See printable PDF for diagram._

Written practice

1. Factor completely: x² − 441 = ___ 2. Rewrite x² + 42x + 27 in square form: ___ 3. Interpret the structure of: 20(x + 1)² − 22 4. Which form reveals zeros? (A) standard (B) factored — letter: ___ 5. Complete the square for x² + 22x + ___ 6. Simplify: √(x² + 36x + 324) for x ≥ 0 = ___ 7. Factor completely: x² − 576 = ___ 8. Rewrite x² + 48x + 30 in square form: ___

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More written practice

1. Interpret the structure of: 23(x + 1)² − 25 2. Complete the square for x² + 25x + ___ 3. Simplify: √(x² + 42x + 441) for x ≥ 0 = ___ 4. Factor completely: x² − 729 = ___ 5. Rewrite x² + 54x + 33 in square form: ___ 6. Interpret the structure of: 26(x + 1)² − 28

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Patterns and rules

1. Factor completely: x² − 1444 = ___ 2. Rewrite x² + 76x + 44 in square form: ___ 3. Interpret the structure of: 37(x + 1)² − 39

_See printable PDF for diagram._

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Stretch

1. Factor completely: x² − 2116 = ___ 2. Rewrite x² + 92x + 52 in square form: ___

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Parent tip: Look for common factors and special patterns