Worksheets — Set 6

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 + 12 = 24 = ___ 2. Solve: x² − 12x + 7 = 0 = ___ 3. Solve and graph: 8x − 10 > 9 ___

_See printable PDF for diagram._

Written practice

1. Solve: 4x + 11 = 23 = ___ 2. Solve: x² − 11x + 6 = 0 = ___ 3. Solve and graph: 7x − 9 > 8 ___ 4. Solve the system: x + y = 14, x − y = 8 ___ 5. Check your solution by substitution: x = ___ 6. Justify one step in your solution in words. ___ 7. Solve: 3x + 14 = 26 = ___ 8. Solve: x² − 14x + 6 = 0 = ___

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More written practice

1. Solve and graph: 10x − 12 > 11 ___ 2. Solve the system: x + y = 17, x − y = 11 ___ 3. Solve: 2x + 17 = 29 = ___ 4. Solve: x² − 17x + 6 = 0 = ___ 5. Solve and graph: 13x − 15 > 14 ___ 6. Solve the system: x + y = 20, x − y = 14 ___

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Patterns and rules

1. Solve: 5x + 28 = 40 = ___ 2. Solve: x² − 28x + 8 = 0 = ___ 3. Solve and graph: 24x − 26 > 25 ___

_See printable PDF for diagram._

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Parent tip: Do the same operation to both sides