Final answer:The correct algebraic expression for 'eight more than a number' is '8 + x'. This clearly indicates adding 8 to a variable 'x', distinct from multiplication, additional sums, or subtraction which are represented by the other options presented. The correct answer is option B.Explanation:The correct algebraic expression to represent 'eight more than a number' is 8 + x. This expression simply means that the number (represented by 'x') has the value 8 added to it.In contrast, the expression 8x would mean 8 times the number, 8x + 8 would mean 8 times the number plus an additional 8, and 8 - x would represent 8 minus the number. Each of these other expressions means something quite different from simply 'eight more than a number'.In solving algebraic equations, it's often useful to perform operations with symbols before substituting numerical values. This approach makes manipulation simpler and allows for changes in values without having to redo the entire solution.Another wayThe correct algebraic expression for the phrase 'Eight more than a number' is 8 + x.The expression 'Eight more than a number' means that you start with a number and then add 8 to it. In algebraic terms, the number is represented by the variable x, so the expression becomes 8 + x....

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