3. Solving Equations
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What operations do "the difference between" and "the product of" represent?
4x-6
The first key phrase is "the difference between ... and ..." This indicates that we should subtract two things.
... - ...
4 * a number-6
The phrase "a number" is indicating an arbitrary number or a variable. If we call this number x, we can complete our expression.
the difference between the product of 4 and a number and 6
4 x - 6
Note that this is only one of multiple ways to algebraically express the given verbal expression.