In rows 2-4, you will put the number you find after evaluating the expression for the value of x.

Question

(8 points)
x
In the order of operations, what would you do first?

STEP 1:

STEP 2: STEP 3: STEP 4: STEP 5:
1
2
3

Answer 1

To help you structure your evaluation process, I'll outline the steps you would take according to the order of operations (often remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

Given Expression

Let's say you have an expression that involves the variable \( x \) (for example, an expression like \( 3x + 2(5) - x^2 \)).

Steps for Evaluating an Expression with x

1. STEP 1: Substitute the Value of x

   • Replace \( x \) with its given value. For example, if \( x = 2 \), you would replace \( x \) with 2 in the expression.

2. STEP 2: Evaluate Parentheses

   • If there are parentheses in the expression, evaluate those first. For example, if you have \( 2(5) \), calculate that to get 10.

3. STEP 3: Evaluate Exponents

   • Evaluate any exponents in the expression. For example, if there is \( x^2 \), compute that based on the substituted value of \( x \).

4. STEP 4: Perform Multiplication and Division

   • Next, perform any multiplication and division from left to right. For example, if you have \( 3(2) \), compute that multiplication.

5. STEP 5: Perform Addition and Subtraction

   • Finally, perform any addition and subtraction from left to right to find the final value of the expression.

Example Filled Out

Here is an example with hypothetical values:

• Expression: \( 3x + 2(5) - x^2 \)
• Value of x: 2

Steps Filled Out:

| STEP | 1 | 2 | 3 | 4 | 5 | |---------------|---------|-----------|------------|----------------|-----------------| | Action | Substitute (3(2) + 2(5) - (2^2)) | Evaluate Parentheses (3(2) + 10 - 4) | Evaluate Exponents (3(2) + 10 - 4) | Perform Multiplication (6 + 10 - 4) | Perform Addition/Subtraction (12) | | Result | 6 | 16 | 16 | 12 | 12 |

Final Output

• The final result of evaluating the expression for \( x = 2 \) is 12.

You would fill your table similarly based on the expression you are evaluating and the value of \( x \) that you are using. Adjust your expression and the value of \( x \) as necessary!