algebraic expression for the sum of twice a number squared and 7
2x^2 + 7
To express the given statement as an algebraic expression, let's follow these steps:
Step 1: Assign a variable to the unknown number.
Let's use the variable "x" to represent the unknown number.
Step 2: Define the expression for "twice a number squared."
To square a number, we multiply it by itself. To double a number, we multiply it by 2. Therefore, "twice a number squared" can be expressed as 2x².
Step 3: Add "7" to the expression from Step 2.
The expression for "twice a number squared" is 2x². Adding 7 to it gives us the final expression.
Putting it all together, the algebraic expression for the sum of "twice a number squared" and 7 is:
2x² + 7