Worksheets — Set 12

Algebra I · Linear equations and inequalities

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

Warm-up

1. Solve: 3x + 18 = 30 = ___ 2. Solve: x² − 18x + 7 = 0 = ___ 3. Solve and graph: 14x − 16 > 15 ___

_See printable PDF for diagram._

Written practice

1. Solve: 2x + 17 = 29 = ___ 2. Solve: x² − 17x + 6 = 0 = ___ 3. Solve and graph: 13x − 15 > 14 ___ 4. Solve the system: x + y = 20, x − y = 14 ___ 5. Check your solution by substitution: x = ___ 6. Justify one step in your solution in words. ___ 7. Solve: 5x + 20 = 32 = ___ 8. Solve: x² − 20x + 6 = 0 = ___

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More written practice

1. Solve and graph: 16x − 18 > 17 ___ 2. Solve the system: x + y = 23, x − y = 17 ___ 3. Solve: 4x + 23 = 35 = ___ 4. Solve: x² − 23x + 6 = 0 = ___ 5. Solve and graph: 19x − 21 > 20 ___ 6. Solve the system: x + y = 26, x − y = 20 ___

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Patterns and rules

1. Solve: 3x + 34 = 46 = ___ 2. Solve: x² − 34x + 8 = 0 = ___ 3. Solve and graph: 30x − 32 > 31 ___

_See printable PDF for diagram._

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Parent tip: Do the same operation to both sides