Question

Evaluate the following expression, when x=-2

Answer 1

Answer:

A) -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Step-by-step explanation:

Step 1: Define

2x² + 4x - 3

x = -2

Step 2: Evaluate

1. Substitute in x:                                                                                                2(-2)² + 4(-2) - 3
2. Exponents:                                                                                                      2(4) + 4(-2) - 3
3. Multiply:                                                                                                           8 - 8 - 3
4. Subtract:                                                                                                          -3

Answer 2

Answer:

$\huge\boxed{\text{A) -3}}$

Step-by-step explanation:

To find the value of this equation when $x=-2$, we can substitute this value inside the equation and use PEMDAS to successfully find the value.

With the expression of $2x^2+4x-3$, let's substitute -2 in as x.

• $2(-2)^2 + 4(-2) - 3$

Now let's follow PEMDAS to solve this equation.

PEMDAS states that when solving an expression/equation, the order we must follow is

• Parentheses
• Exponents
• Multiplication/
• Division
• Addition/
• Subtraction

We can now solve for this.

We see that exponents come before multiply and dividing. Therefore:

• $2(-2)^2 = 2 \cdot (-2)^2 = 2 \cdot 4 = 8$

So the value of our first term is 8.

Our second term will be $4 \cdot -2 = -8$, and our last term will remain -3.

Adding these values together:

$8 - 8 - 3 = -3$

Therefore, the value of this expression when x = -2 is -3.

Hope this helped!