Worksheets — Set 18

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

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

Warm-up

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

_See printable PDF for diagram._

Written practice

1. Solve: 4x + 23 = 35 = ___ 2. Solve: x² − 23x + 6 = 0 = ___ 3. Solve and graph: 19x − 21 > 20 ___ 4. Solve the system: x + y = 26, x − y = 20 ___ 5. Check your solution by substitution: x = ___ 6. Justify one step in your solution in words. ___ 7. Solve: 3x + 26 = 38 = ___ 8. Solve: x² − 26x + 6 = 0 = ___

___________________________ ___________________________ ___________________________ ___________________________

More written practice

1. Solve and graph: 22x − 24 > 23 ___ 2. Solve the system: x + y = 29, x − y = 23 ___ 3. Solve: 2x + 29 = 41 = ___ 4. Solve: x² − 29x + 6 = 0 = ___ 5. Solve and graph: 25x − 27 > 26 ___ 6. Solve the system: x + y = 32, x − y = 26 ___

___________________________ ___________________________ ___________________________ ___________________________ ___________________________

Patterns and rules

1. Solve: 5x + 40 = 52 = ___ 2. Solve: x² − 40x + 8 = 0 = ___ 3. Solve and graph: 36x − 38 > 37 ___

_See printable PDF for diagram._

___________________________ ___________________________ ___________________________ ___________________________

Stretch

1. Solve: 5x + 48 = 60 = ___ 2. Solve: x² − 48x + 7 = 0 = ___

___________________________ ___________________________ ___________________________ ___________________________

Parent tip: Do the same operation to both sides