Question

Which of the following equations demonstrate the multiplication property of equality for the equation x = 2? (Choose all that apply) Option 1: x(3) = 2(4) Option 2: x(5) = 10 Option 3: x(1.5) = 2(2) Option 4: x(0.5) = 2(0.5) Option 5: x x(12) = 12

Answer 1

The multiplication property of equality states that if you multiply both sides of an equation by the same number, the equation remains true.

Step-by-step explanation:

The multiplication property of equality states that if you multiply both sides of an equation by the same number, the equation remains true. In the case of x = 2, we need to find equations that demonstrate this property.

1. Option 1: x(3) = 2(4) can be simplified to 3x = 8, which is not equal to x = 2. Therefore, this option does not demonstrate the multiplication property of equality.
2. Option 2: x(5) = 10 can be simplified to 5x = 10, which is equal to x = 2. This option demonstrates the multiplication property of equality.
3. Option 3: x(1.5) = 2(2) can be simplified to 1.5x = 4, which is not equal to x = 2. Therefore, this option does not demonstrate the multiplication property of equality.
4. Option 4: x(0.5) = 2(0.5) can be simplified to 0.5x = 1, which is equal to x = 2. This option demonstrates the multiplication property of equality.
5. Option 5: x x(12) = 12 can be simplified to x^2 = 12, which is not equal to x = 2. Therefore, this option does not demonstrate the multiplication property of equality.

Based on our analysis, Option 2 and Option 4 demonstrate the multiplication property of equality for the equation x = 2.

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