Algebraic proofs worksheet for geometry prep, featuring three problems to solve with given equations and proof steps.

Geometry Prep worksheet titled "2.5 Worksheet: Algebraic Proofs" with three algebraic equations to solve and prove, including statements and reasons columns for each problem.

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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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Final Answer:
1. Statements:
- $3x + 12 = 8x - 18$ (Given)
- $12 = 5x - 18$ (Subtract $3x$ from both sides)
- $30 = 5x$ (Add 18 to both sides)
- $x = 6$ (Divide both sides by 5)

Reasons:
- Given
- Subtraction Property of Equality
- Addition Property of Equality
- Division Property of Equality

2. Statements:
- $3k + 5 = 17$ (Given)
- $3k = 12$ (Subtract 5 from both sides)
- $k = 4$ (Divide both sides by 3)

Reasons:
- Given
- Subtraction Property of Equality
- Division Property of Equality

3. Statements:
- $-6a - 5 = -95$ (Given)
- $-6a = -90$ (Add 5 to both sides)
- $a = 15$ (Divide both sides by $-6$)

Reasons:
- Given
- Addition Property of Equality
- Division Property of Equality

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

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