Q. Write an expression to represent:8 more than the product of 2 and x.
Identify mathematical operation: First, identify the mathematical operation that corresponds to the phrase "the product of 2 and x." The product refers to the result of multiplying two numbers. Therefore, the product of 2 and x is 2 multiplied by x, which can be written as 2x.
Add 8 to product: Next, the phrase "8 more than" indicates that we need to add 8 to the product of 2 and x. In mathematical terms, this means we take the expression for the product, which is 2x, and add 8 to it.
Combine product with 8: Now, combine the product 2x with the number 8 using addition. The expression that represents "8 more than the product of 2 and x" is therefore written as 2x+8.
Check expression: Finally, check the expression to ensure it accurately reflects the original problem statement. The expression 2x+8 correctly shows 8 added to the product of 2 and x, which matches the problem's requirement.