Question

Each of the following correctly match an English phrase with a mathematical expression except _____.

the sum of a number and seven, 7 + x
a number divided by 7, 7/x
a number subtracted from seven, 7 - x
a number times seven, 7 x

Answer 1

Let's analyze each option to determine which one does not correctly match the given phrase with its mathematical expression.

1. **The sum of a number and seven, 7 + x**
- This is incorrect because the correct expression for "the sum of a number (x) and seven" is \( x + 7 \) not \( 7 + x \). However, \( 7 + x \) is also equivalent because addition is commutative.

2. **A number divided by 7, 7/x**
- This is incorrect because "a number (x) divided by 7" should be expressed as \( x/7 \), not \( 7/x \).

3. **A number subtracted from seven, 7 - x**
- This is correct. "A number (x) subtracted from seven" is represented as \( 7 - x \).

4. **A number times seven, 7 x**
- This is incorrect notation for "a number (x) times seven". The correct expression should be \( 7x \) or \( x \times 7 \).

Now let's sum up our results:

- The first expression technically matches, despite slightly unconventional notation.
- The second expression does not match correctly.
- The third expression is correct.
- The fourth expression is incorrect notation.

Therefore, the correct answer is: **a number divided by 7, 7/x**.