You Create your own example of algebraic expression and write down the step by step process on how to solve it. You can search on google for the meaning of algebraic expression as your reference.

2024-08-12 20:11:48

GPT4 An algebraic expression is a mathematical phrase that can include numbers, variables (like x x or y y), and operations (like addition, subtraction, multiplication, and division). Unlike equations, algebraic expressions do not have an equal sign and are not meant to be solved for an exact value; instead, they are simplified or evaluated for specific variable values.

Here's an example of an algebraic expression:

3 x 2 − 5 x + 2 3x 2 −5x+2 Let's go through a step-by-step process of simplifying and evaluating this expression.

Step 1: Simplifying the Expression First, consider whether the expression can be simplified further. Simplifying means combining like terms (terms with the same variable raised to the same power). In this case, the expression is already simplified because there are no like terms to combine:

3 x 2 − 5 x + 2 3x 2 −5x+2 Step 2: Evaluating the Expression for a Specific Value of x x Let's evaluate the expression for a specific value of x x. Suppose x

2 x=2. To evaluate the expression, substitute x

2 x=2 into the expression:

3 ( 2 ) 2 − 5 ( 2 ) + 2 3(2) 2 −5(2)+2 Step 3: Performing the Calculations Now, perform the calculations step by step:

Calculate the exponent:

2 2

4 2 2 =4 Multiply the coefficient by the calculated exponent:

3 × 4

12 3×4=12 Multiply the coefficient by the variable:

5 × 2

10 5×2=10 Substitute these results back into the expression:

12 − 10 + 2 12−10+2 Step 4: Simplify the Expression Finally, simplify the expression by performing the addition and subtraction:

12 − 10

2 12−10=2 2 + 2

4 2+2=4 Final Answer The value of the expression 3 x 2 − 5 x + 2 3x 2 −5x+2 when x

2 x=2 is 4.