Worksheets — Set 9

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: 4x + 15 = 27 = ___ 2. Solve: x² − 15x + 7 = 0 = ___ 3. Solve and graph: 11x − 13 > 12 ___

_See printable PDF for diagram._

Written practice

1. Solve: 3x + 14 = 26 = ___ 2. Solve: x² − 14x + 6 = 0 = ___ 3. Solve and graph: 10x − 12 > 11 ___ 4. Solve the system: x + y = 17, x − y = 11 ___ 5. Check your solution by substitution: x = ___ 6. Justify one step in your solution in words. ___ 7. Solve: 2x + 17 = 29 = ___ 8. Solve: x² − 17x + 6 = 0 = ___

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More written practice

1. Solve and graph: 13x − 15 > 14 ___ 2. Solve the system: x + y = 20, x − y = 14 ___ 3. Solve: 5x + 20 = 32 = ___ 4. Solve: x² − 20x + 6 = 0 = ___ 5. Solve and graph: 16x − 18 > 17 ___ 6. Solve the system: x + y = 23, x − y = 17 ___

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Patterns and rules

1. Solve: 4x + 31 = 43 = ___ 2. Solve: x² − 31x + 8 = 0 = ___ 3. Solve and graph: 27x − 29 > 28 ___

_See printable PDF for diagram._

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Parent tip: Do the same operation to both sides