Worksheets — Set 4

Algebra I · Systems of linear equations

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

Warm-up

1. Solve: 3x + 10 = 22 = ___ 2. Solve: x² − 10x + 8 = 0 = ___ 3. Solve and graph: 6x − 8 > 7 ___

_See printable PDF for diagram._

Written practice

1. Solve: 2x + 9 = 21 = ___ 2. Solve: x² − 9x + 7 = 0 = ___ 3. Solve and graph: 5x − 7 > 6 ___ 4. Solve the system: x + y = 12, x − y = 6 ___ 5. Check your solution by substitution: x = ___ 6. Justify one step in your solution in words. ___ 7. Solve: 5x + 12 = 24 = ___ 8. Solve: x² − 12x + 7 = 0 = ___

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More written practice

1. Solve and graph: 8x − 10 > 9 ___ 2. Solve the system: x + y = 15, x − y = 9 ___ 3. Solve: 4x + 15 = 27 = ___ 4. Solve: x² − 15x + 7 = 0 = ___ 5. Solve and graph: 11x − 13 > 12 ___ 6. Solve the system: x + y = 18, x − y = 12 ___

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Patterns and rules

1. Solve: 3x + 26 = 38 = ___ 2. Solve: x² − 26x + 6 = 0 = ___ 3. Solve and graph: 22x − 24 > 23 ___

_See printable PDF for diagram._

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Parent tip: Do the same operation to both sides