HUNTERTUTORING

Worksheets — Set 1

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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 + 7 = 19 = ___ 2. Solve: x² − 7x + 8 = 0 = ___ 3. Solve and graph: 3x − 5 > 4 ___

_See printable PDF for diagram._

Written practice

1. Solve: 3x + 6 = 18 = ___ 2. Solve: x² − 6x + 7 = 0 = ___ 3. Solve and graph: 2x − 4 > 3 ___ 4. Solve the system: x + y = 9, x − y = 3 ___ 5. Check your solution by substitution: x = ___ 6. Justify one step in your solution in words. ___ 7. Solve: 2x + 9 = 21 = ___ 8. Solve: x² − 9x + 7 = 0 = ___

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More written practice

1. Solve and graph: 5x − 7 > 6 ___ 2. Solve the system: x + y = 12, x − y = 6 ___ 3. Solve: 5x + 12 = 24 = ___ 4. Solve: x² − 12x + 7 = 0 = ___ 5. Solve and graph: 8x − 10 > 9 ___ 6. Solve the system: x + y = 15, x − y = 9 ___

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Patterns and rules

1. Solve: 4x + 23 = 35 = ___ 2. Solve: x² − 23x + 6 = 0 = ___ 3. Solve and graph: 19x − 21 > 20 ___

_See printable PDF for diagram._

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Parent tip: Do the same operation to both sides

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