Worksheets — Set 8

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: 3x + 14 = 26 = ___ 2. Solve: x² − 14x + 6 = 0 = ___ 3. Solve and graph: 10x − 12 > 11 ___

_See printable PDF for diagram._

Written practice

1. Solve: 2x + 13 = 25 = ___ 2. Solve: x² − 13x + 8 = 0 = ___ 3. Solve and graph: 9x − 11 > 10 ___ 4. Solve the system: x + y = 16, x − y = 10 ___ 5. Check your solution by substitution: x = ___ 6. Justify one step in your solution in words. ___ 7. Solve: 5x + 16 = 28 = ___ 8. Solve: x² − 16x + 8 = 0 = ___

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More written practice

1. Solve and graph: 12x − 14 > 13 ___ 2. Solve the system: x + y = 19, x − y = 13 ___ 3. Solve: 4x + 19 = 31 = ___ 4. Solve: x² − 19x + 8 = 0 = ___ 5. Solve and graph: 15x − 17 > 16 ___ 6. Solve the system: x + y = 22, x − y = 16 ___

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Patterns and rules

1. Solve: 3x + 30 = 42 = ___ 2. Solve: x² − 30x + 7 = 0 = ___ 3. Solve and graph: 26x − 28 > 27 ___

_See printable PDF for diagram._

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Parent tip: Do the same operation to both sides