Algebraic proofs worksheet for geometry students to complete.

Geometry Prep worksheet titled "2.5 Worksheet: Algebraic Proofs" with three algebraic equations to solve, each requiring a proof with statements and reasons.

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Show Answer Key & Explanations Step-by-step solution for: 2.5 Worksheet: Algebraic Proofs: Complete The Proofs Below. X X X ...

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1. Statements | Reasons
---|---
3x + 12 = 8x - 18 | Given
-5x + 12 = -18 | Subtract 8x from both sides (Subtraction Property of Equality)
-5x = -30 | Subtract 12 from both sides (Subtraction Property of Equality)
x = 6 | Divide both sides by -5 (Division Property of Equality)

2. Statements | Reasons
---|---
3k + 5 = 17 | Given
3k = 12 | Subtract 5 from both sides (Subtraction Property of Equality)
k = 4 | Divide both sides by 3 (Division Property of Equality)

3. Statements | Reasons
---|---
-6a - 5 = -95 | Given
-6a = -90 | Add 5 to both sides (Addition Property of Equality)
a = 15 | Divide both sides by -6 (Division Property of Equality)

Parent Tip: Review the logic above to help your child master the concept of proof worksheet.

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