Worksheets — Set 2
Algebra II · Honors · Sequences, series, and summation
Print and write your answers. Use diagrams to show thinking.
Warm-up
1. Factor completely: x² − 36 = ___ 2. Rewrite x² + 12x + 12 in square form: ___ 3. Interpret the structure of: 5(x + 1)² − 7
_See printable PDF for diagram._
Written practice
1. Factor completely: x² − 25 = ___ 2. Rewrite x² + 10x + 11 in square form: ___ 3. Interpret the structure of: 4(x + 1)² − 6 4. Which form reveals zeros? (A) standard (B) factored — letter: ___ 5. Complete the square for x² + 6x + ___ 6. Simplify: √(x² + 4x + 4) for x ≥ 0 = ___ 7. Factor completely: x² − 64 = ___ 8. Rewrite x² + 16x + 14 in square form: ___
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More written practice
1. Interpret the structure of: 7(x + 1)² − 9 2. Complete the square for x² + 9x + ___ 3. Simplify: √(x² + 10x + 25) for x ≥ 0 = ___ 4. Factor completely: x² − 121 = ___ 5. Rewrite x² + 22x + 17 in square form: ___ 6. Interpret the structure of: 10(x + 1)² − 12
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Patterns and rules
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._
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Parent tip: Look for common factors and special patterns