Equivalent Statements for \(4x = 24\

The algebraic statement given is \(4x = 24\). Let's analyze each statement to determine which ones are equivalent to \(4x = 24\). 1. **The sum of 4 and a number, \(x\), equals 24.** - This can be written as \(4 + x = 24\). - This statement is **not equivalent** to \(4x = 24\). 2. **4 times a number, \(x\), is at least 24.** - This can be written as \(4x \geq 24\). - This statement is **not equivalent** to \(4x = 24\). 3. **4 times a number, \(x\), equals 24.** - This can be written as \(4x = 24\). - This statement is **equivalent** to \(4x = 24\). 4. **The product of 4 and a number, \(x\), is at least 24.** - This can be written as \(4x \geq 24\). - This statement is **not equivalent** to \(4x = 24\). 5. **The product of 4 and a number, \(x\), equals 24.** - This can be written as \(4x = 24\). - This statement is **equivalent** to \(4x = 24\). 6. **The quotient of 4 and a number, \(x\), equals 24.** - This can be written as \(\frac{4}{x} = 24\). - This statement is **not equivalent** to \(4x = 24\). 7. **4 times a number, \(x\), is at most 24.** - This can be written as \(4x \leq 24\). - This statement is **not equivalent** to \(4x = 24\). 8. **The product of 4 and a number, \(x\), is at most 24.** - This can be written as \(4x \leq 24\). - This statement is **not equivalent** to \(4x = 24\). Therefore, the statements that are equivalent to \(4x = 24\) are: - 4 times a number, \(x\), equals 24. - The product of 4 and a number, \(x\), equals 24.