If 7m = 35, then 7m + 4 = 35 + 4.
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1 point
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
Distributive Property
Substitution Property
Reflexive Property
Symmetric Property
Transitive Property
Addition Property of Equality
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In this question, we are given the equation 7m = 35. We need to determine which property of equality allows us to determine the value of 7m + 4.
The property that allows us to determine the value of 7m + 4 in this case is the Addition Property of Equality.
According to the Addition Property of Equality, if we add the same number to both sides of an equation, the resulting equation will still be true.
So, applying the Addition Property of Equality to the equation 7m = 35, we can add 4 to both sides:
7m + 4 = 35 + 4.
Therefore, the correct answer is the Addition Property of Equality.
In the given equation, 7m = 35, we need to determine whether the statement 7m + 4 = 35 + 4 is true or not. Let's break down the equation.
To find the value of m, we can divide both sides of the equation 7m = 35 by 7. This is using the Division Property of Equality, which states that if we divide both sides of an equation by the same non-zero number, the equality still holds.
So, dividing both sides of 7m = 35 by 7, we get:
(m) = (35) / (7)
Simplifying the right side, we have:
m = 5
Now, let's substitute this value of m into the equation 7m + 4 = 35 + 4:
7(5) + 4 = 35 + 4
This simplifies to:
35 + 4 = 35 + 4
Using the Addition Property of Equality, which states that if we add the same quantity to both sides of an equation, the equality is maintained, we can conclude that:
7m + 4 = 35 + 4 is true.
Therefore, the answer is:
Addition Property of Equality.