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Which equation below would be best solved by using the addition property of equality? \( \begin{array}{l}f \div 23=45 \\ 23 f=45 \\ f+23=45 \\ f-23=45\end{array} \)

Ask by Fuentes Simpson. in the United States
Dec 09,2024

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\( f + 23 = 45 \)

Solution

The equation that would be best solved by using the addition property of equality is: \( f + 23 = 45 \) The addition property of equality states that if you add the same value to both sides of an equation, the two sides remain equal. In this case, you would subtract 23 from both sides to isolate \( f \): \[ f + 23 - 23 = 45 - 23 \] This simplifies to: \[ f = 22 \] So, \( f + 23 = 45 \) is the correct choice for using the addition property of equality.

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To solve the equation \( f + 23 = 45 \) using the addition property of equality, you can easily isolate \( f \) by subtracting 23 from both sides. This property states that if you add or subtract the same number from both sides of an equation, the equation remains balanced, making it straightforward for solving equations that involve addition. You might be surprised to learn that many day-to-day situations can reflect the application of the addition property of equality! For example, if you have $45 and want to determine how much more money you need to reach $68, you can set up the equation \( x + 45 = 68 \). By subtracting 45 from both sides, you find that you need $23 more, reinforcing the importance of this mathematical property in practical scenarios!

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