Worksheets — Set 19
Algebra I · Honors · Proof-oriented and extended-response problems
Print and write your answers. Use diagrams to show thinking.
Warm-up
1. Solve: 2x + 25 = 37 = ___ 2. Solve: x² − 25x + 8 = 0 = ___ 3. Solve and graph: 21x − 23 > 22 ___
_See printable PDF for diagram._
Written practice
1. Solve: 5x + 24 = 36 = ___ 2. Solve: x² − 24x + 7 = 0 = ___ 3. Solve and graph: 20x − 22 > 21 ___ 4. Solve the system: x + y = 27, x − y = 21 ___ 5. Check your solution by substitution: x = ___ 6. Justify one step in your solution in words. ___ 7. Solve: 4x + 27 = 39 = ___ 8. Solve: x² − 27x + 7 = 0 = ___
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More written practice
1. Solve and graph: 23x − 25 > 24 ___ 2. Solve the system: x + y = 30, x − y = 24 ___ 3. Solve: 3x + 30 = 42 = ___ 4. Solve: x² − 30x + 7 = 0 = ___ 5. Solve and graph: 26x − 28 > 27 ___ 6. Solve the system: x + y = 33, x − y = 27 ___
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Patterns and rules
1. Solve: 2x + 41 = 53 = ___ 2. Solve: x² − 41x + 6 = 0 = ___ 3. Solve and graph: 37x − 39 > 38 ___
_See printable PDF for diagram._
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Stretch
1. Solve: 2x + 49 = 61 = ___ 2. Solve: x² − 49x + 8 = 0 = ___
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Parent tip: Do the same operation to both sides