Worksheets — Set 16
Algebra I · Honors · Proof-oriented and extended-response problems
Print and write your answers. Use diagrams to show thinking.
Warm-up
1. Solve: 3x + 22 = 34 = ___ 2. Solve: x² − 22x + 8 = 0 = ___ 3. Solve and graph: 18x − 20 > 19 ___
_See printable PDF for diagram._
Written practice
1. Solve: 2x + 21 = 33 = ___ 2. Solve: x² − 21x + 7 = 0 = ___ 3. Solve and graph: 17x − 19 > 18 ___ 4. Solve the system: x + y = 24, x − y = 18 ___ 5. Check your solution by substitution: x = ___ 6. Justify one step in your solution in words. ___ 7. Solve: 5x + 24 = 36 = ___ 8. Solve: x² − 24x + 7 = 0 = ___
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More written practice
1. Solve and graph: 20x − 22 > 21 ___ 2. Solve the system: x + y = 27, x − y = 21 ___ 3. Solve: 4x + 27 = 39 = ___ 4. Solve: x² − 27x + 7 = 0 = ___ 5. Solve and graph: 23x − 25 > 24 ___ 6. Solve the system: x + y = 30, x − y = 24 ___
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Patterns and rules
1. Solve: 3x + 38 = 50 = ___ 2. Solve: x² − 38x + 6 = 0 = ___ 3. Solve and graph: 34x − 36 > 35 ___
_See printable PDF for diagram._
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Stretch
1. Solve: 3x + 46 = 58 = ___ 2. Solve: x² − 46x + 8 = 0 = ___
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Parent tip: Do the same operation to both sides