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Question: Which of the following statements is equivalent to the algebraic statement below? Select all that apply. 4 x = 24 4x=24 The sum of 4 4 and a number, x x, equals 24 24 4 4 times a number, x x, is at least 24 24. 4 4 times a number, x x, equals 24 24. The product of 4 4 and a number, x x, is at least 24 24. The product of 4 4 and a number, x x, equals 24 24. The quotient of 4 4 and a number, x x, equals 24 24. 4 4 times a number, x x, is at most 24 24. The product of 4 4 and a number, x x, is at most 24 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.
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