Worksheets — Set 13

Algebra I · Linear equations and inequalities

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

Warm-up

1. Solve: 4x + 19 = 31 = ___ 2. Solve: x² − 19x + 8 = 0 = ___ 3. Solve and graph: 15x − 17 > 16 ___

_See printable PDF for diagram._

Written practice

1. Solve: 3x + 18 = 30 = ___ 2. Solve: x² − 18x + 7 = 0 = ___ 3. Solve and graph: 14x − 16 > 15 ___ 4. Solve the system: x + y = 21, x − y = 15 ___ 5. Check your solution by substitution: x = ___ 6. Justify one step in your solution in words. ___ 7. Solve: 2x + 21 = 33 = ___ 8. Solve: x² − 21x + 7 = 0 = ___

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More written practice

1. Solve and graph: 17x − 19 > 18 ___ 2. Solve the system: x + y = 24, x − y = 18 ___ 3. Solve: 5x + 24 = 36 = ___ 4. Solve: x² − 24x + 7 = 0 = ___ 5. Solve and graph: 20x − 22 > 21 ___ 6. Solve the system: x + y = 27, x − y = 21 ___

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Patterns and rules

1. Solve: 4x + 35 = 47 = ___ 2. Solve: x² − 35x + 6 = 0 = ___ 3. Solve and graph: 31x − 33 > 32 ___

_See printable PDF for diagram._

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Parent tip: Do the same operation to both sides