Study guide page on algebraic proofs, including properties of equality and example problems with solutions.

Educational worksheet: Algebraic Proofs Worksheets - Math Monks. Download and print for classroom or home learning activities.

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1. Given: $\frac{7x+2}{3} = 8$
Proof:
- $7x + 2 = 24$ (Multiplication Property of Equality)
- $7x = 22$ (Subtraction Property of Equality)
- $x = \frac{22}{7}$ (Division Property of Equality)

2. Given: $6 - 5x = 2x - 1$
Proof:
- $6 = 7x - 1$ (Addition Property of Equality)
- $7 = 7x$ (Addition Property of Equality)
- $x = 1$ (Division Property of Equality)

3. Given: $4x + 9 = 3 - 2x$
Proof:
- $6x + 9 = 3$ (Addition Property of Equality)
- $6x = -6$ (Subtraction Property of Equality)
- $x = -1$ (Division Property of Equality)

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

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