Math Problem Statement

Match the property of equality with the example that models the property.

Solution

The exercise involves matching the property of equality with the corresponding example. Here's the correct matching based on the provided examples:

  1. Subtraction Property of Equality: (1/2)+5x(1/2)=8(1/2)(1/2) + 5x - (1/2) = 8 - (1/2)
    (This shows subtraction on both sides of the equation.)

  2. Addition Property of Equality: 3x4+4=12+43x - 4 + 4 = 12 + 4
    (This demonstrates adding a value to both sides.)

  3. Division Property of Equality: 55/11=11x/1155/11 = 11x/11
    (This shows dividing both sides of an equation by the same number.)

  4. Multiplication Property of Equality: (4x)(1/4)=(3)(1/4)(4x)(1/4) = (3)(1/4)
    (This illustrates multiplying both sides by the same factor.)

Would you like further explanations or have additional questions?

Here are 5 related questions to expand your understanding:

  1. Can you provide an example of the distributive property?
  2. What happens when a property of equality is not applied correctly?
  3. How does the multiplication property differ from the division property?
  4. Can properties of equality be combined in one equation?
  5. How are these properties used in solving multi-step equations?

Tip: Always check the operation performed on both sides of the equation to identify the correct property of equality.

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Math Problem Analysis

Mathematical Concepts

Properties of Equality
Linear Equations
Algebra

Formulas

Subtraction Property of Equality: a = b implies a - c = b - c
Addition Property of Equality: a = b implies a + c = b + c
Division Property of Equality: a = b implies a / c = b / c, where c ≠ 0
Multiplication Property of Equality: a = b implies a * c = b * c

Theorems

Equality Properties

Suitable Grade Level

Grades 8-10