Worksheets — Set 10

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: 5x + 16 = 28 = ___ 2. Solve: x² − 16x + 8 = 0 = ___ 3. Solve and graph: 12x − 14 > 13 ___

_See printable PDF for diagram._

Written practice

1. Solve: 4x + 15 = 27 = ___ 2. Solve: x² − 15x + 7 = 0 = ___ 3. Solve and graph: 11x − 13 > 12 ___ 4. Solve the system: x + y = 18, x − y = 12 ___ 5. Check your solution by substitution: x = ___ 6. Justify one step in your solution in words. ___ 7. Solve: 3x + 18 = 30 = ___ 8. Solve: x² − 18x + 7 = 0 = ___

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More written practice

1. Solve and graph: 14x − 16 > 15 ___ 2. Solve the system: x + y = 21, x − y = 15 ___ 3. Solve: 2x + 21 = 33 = ___ 4. Solve: x² − 21x + 7 = 0 = ___ 5. Solve and graph: 17x − 19 > 18 ___ 6. Solve the system: x + y = 24, x − y = 18 ___

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Patterns and rules

1. Solve: 5x + 32 = 44 = ___ 2. Solve: x² − 32x + 6 = 0 = ___ 3. Solve and graph: 28x − 30 > 29 ___

_See printable PDF for diagram._

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Parent tip: Do the same operation to both sides