Worksheets — Set 2

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

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

Warm-up

1. Solve: 5x + 8 = 20 = ___ 2. Solve: x² − 8x + 6 = 0 = ___ 3. Solve and graph: 4x − 6 > 5 ___

_See printable PDF for diagram._

Written practice

1. Solve: 4x + 7 = 19 = ___ 2. Solve: x² − 7x + 8 = 0 = ___ 3. Solve and graph: 3x − 5 > 4 ___ 4. Solve the system: x + y = 10, x − y = 4 ___ 5. Check your solution by substitution: x = ___ 6. Justify one step in your solution in words. ___ 7. Solve: 3x + 10 = 22 = ___ 8. Solve: x² − 10x + 8 = 0 = ___

___________________________ ___________________________ ___________________________ ___________________________

More written practice

1. Solve and graph: 6x − 8 > 7 ___ 2. Solve the system: x + y = 13, x − y = 7 ___ 3. Solve: 2x + 13 = 25 = ___ 4. Solve: x² − 13x + 8 = 0 = ___ 5. Solve and graph: 9x − 11 > 10 ___ 6. Solve the system: x + y = 16, x − y = 10 ___

___________________________ ___________________________ ___________________________ ___________________________ ___________________________

Patterns and rules

1. Solve: 5x + 24 = 36 = ___ 2. Solve: x² − 24x + 7 = 0 = ___ 3. Solve and graph: 20x − 22 > 21 ___

_See printable PDF for diagram._

___________________________ ___________________________ ___________________________ ___________________________

Parent tip: Do the same operation to both sides