Worksheets — Set 7

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

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

Warm-up

1. Solve: 2x + 13 = 25 = ___ 2. Solve: x² − 13x + 8 = 0 = ___ 3. Solve and graph: 9x − 11 > 10 ___

_See printable PDF for diagram._

Written practice

1. Solve: 5x + 12 = 24 = ___ 2. Solve: x² − 12x + 7 = 0 = ___ 3. Solve and graph: 8x − 10 > 9 ___ 4. Solve the system: x + y = 15, x − y = 9 ___ 5. Check your solution by substitution: x = ___ 6. Justify one step in your solution in words. ___ 7. Solve: 4x + 15 = 27 = ___ 8. Solve: x² − 15x + 7 = 0 = ___

___________________________ ___________________________ ___________________________ ___________________________

More written practice

1. Solve and graph: 11x − 13 > 12 ___ 2. Solve the system: x + y = 18, x − y = 12 ___ 3. Solve: 3x + 18 = 30 = ___ 4. Solve: x² − 18x + 7 = 0 = ___ 5. Solve and graph: 14x − 16 > 15 ___ 6. Solve the system: x + y = 21, x − y = 15 ___

___________________________ ___________________________ ___________________________ ___________________________ ___________________________

Patterns and rules

1. Solve: 2x + 29 = 41 = ___ 2. Solve: x² − 29x + 6 = 0 = ___ 3. Solve and graph: 25x − 27 > 26 ___

_See printable PDF for diagram._

___________________________ ___________________________ ___________________________ ___________________________

Parent tip: Do the same operation to both sides