Worksheets — Set 15

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

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

Warm-up

1. Solve: 2x + 21 = 33 = ___ 2. Solve: x² − 21x + 7 = 0 = ___ 3. Solve and graph: 17x − 19 > 18 ___

_See printable PDF for diagram._

Written practice

1. Solve: 5x + 20 = 32 = ___ 2. Solve: x² − 20x + 6 = 0 = ___ 3. Solve and graph: 16x − 18 > 17 ___ 4. Solve the system: x + y = 23, x − y = 17 ___ 5. Check your solution by substitution: x = ___ 6. Justify one step in your solution in words. ___ 7. Solve: 4x + 23 = 35 = ___ 8. Solve: x² − 23x + 6 = 0 = ___

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More written practice

1. Solve and graph: 19x − 21 > 20 ___ 2. Solve the system: x + y = 26, x − y = 20 ___ 3. Solve: 3x + 26 = 38 = ___ 4. Solve: x² − 26x + 6 = 0 = ___ 5. Solve and graph: 22x − 24 > 23 ___ 6. Solve the system: x + y = 29, x − y = 23 ___

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Patterns and rules

1. Solve: 2x + 37 = 49 = ___ 2. Solve: x² − 37x + 8 = 0 = ___ 3. Solve and graph: 33x − 35 > 34 ___

_See printable PDF for diagram._

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Parent tip: Do the same operation to both sides