Worksheets — Set 14

Algebra I · Honors · Proof-oriented and extended-response problems

Print and write your answers. Use diagrams to show thinking.

Warm-up

1. Solve: 5x + 20 = 32 = ___ 2. Solve: x² − 20x + 6 = 0 = ___ 3. Solve and graph: 16x − 18 > 17 ___

_See printable PDF for diagram._

Written practice

1. Solve: 4x + 19 = 31 = ___ 2. Solve: x² − 19x + 8 = 0 = ___ 3. Solve and graph: 15x − 17 > 16 ___ 4. Solve the system: x + y = 22, x − y = 16 ___ 5. Check your solution by substitution: x = ___ 6. Justify one step in your solution in words. ___ 7. Solve: 3x + 22 = 34 = ___ 8. Solve: x² − 22x + 8 = 0 = ___

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More written practice

1. Solve and graph: 18x − 20 > 19 ___ 2. Solve the system: x + y = 25, x − y = 19 ___ 3. Solve: 2x + 25 = 37 = ___ 4. Solve: x² − 25x + 8 = 0 = ___ 5. Solve and graph: 21x − 23 > 22 ___ 6. Solve the system: x + y = 28, x − y = 22 ___

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Patterns and rules

1. Solve: 5x + 36 = 48 = ___ 2. Solve: x² − 36x + 7 = 0 = ___ 3. Solve and graph: 32x − 34 > 33 ___

_See printable PDF for diagram._

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Parent tip: Do the same operation to both sides