Worksheets — Set 7
Algebra I · Honors · Rational expressions (intro)
Print and write your answers. Use diagrams to show thinking.
Warm-up
1. Factor completely: x² − 121 = ___ 2. Rewrite x² + 22x + 17 in square form: ___ 3. Interpret the structure of: 10(x + 1)² − 12
_See printable PDF for diagram._
Written practice
1. Factor completely: x² − 100 = ___ 2. Rewrite x² + 20x + 16 in square form: ___ 3. Interpret the structure of: 9(x + 1)² − 11 4. Which form reveals zeros? (A) standard (B) factored — letter: ___ 5. Complete the square for x² + 11x + ___ 6. Simplify: √(x² + 14x + 49) for x ≥ 0 = ___ 7. Factor completely: x² − 169 = ___ 8. Rewrite x² + 26x + 19 in square form: ___
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More written practice
1. Interpret the structure of: 12(x + 1)² − 14 2. Complete the square for x² + 14x + ___ 3. Simplify: √(x² + 20x + 100) for x ≥ 0 = ___ 4. Factor completely: x² − 256 = ___ 5. Rewrite x² + 32x + 22 in square form: ___ 6. Interpret the structure of: 15(x + 1)² − 17
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Patterns and rules
1. Factor completely: x² − 729 = ___ 2. Rewrite x² + 54x + 33 in square form: ___ 3. Interpret the structure of: 26(x + 1)² − 28
_See printable PDF for diagram._
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Parent tip: Look for common factors and special patterns