Worksheets — Set 11

Algebra II · Honors · Exam-style multi-step and proof-oriented problems

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

Warm-up

1. Solve: 2x + 17 = 29 = ___ 2. Solve: x² − 17x + 6 = 0 = ___ 3. Solve and graph: 13x − 15 > 14 ___

_See printable PDF for diagram._

Written practice

1. Solve: 5x + 16 = 28 = ___ 2. Solve: x² − 16x + 8 = 0 = ___ 3. Solve and graph: 12x − 14 > 13 ___ 4. Solve the system: x + y = 19, x − y = 13 ___ 5. Check your solution by substitution: x = ___ 6. Justify one step in your solution in words. ___ 7. Solve: 4x + 19 = 31 = ___ 8. Solve: x² − 19x + 8 = 0 = ___

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More written practice

1. Solve and graph: 15x − 17 > 16 ___ 2. Solve the system: x + y = 22, x − y = 16 ___ 3. Solve: 3x + 22 = 34 = ___ 4. Solve: x² − 22x + 8 = 0 = ___ 5. Solve and graph: 18x − 20 > 19 ___ 6. Solve the system: x + y = 25, x − y = 19 ___

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Patterns and rules

1. Solve: 2x + 33 = 45 = ___ 2. Solve: x² − 33x + 7 = 0 = ___ 3. Solve and graph: 29x − 31 > 30 ___

_See printable PDF for diagram._

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Parent tip: Do the same operation to both sides