Question

evaluate \\((2 - 5)p - 4(q)\\) when \\(p = 2\\) and \\(q = 5\\).

• 29
• -26
• -29
• 26

Explanation:

🆕 New Concept Discovered: Evaluating Algebraic Expressions
Replacing variables with given numbers and simplifying.

Step 1: Identify the expression and values

The expression to evaluate is:

$$ (2 - 5)p - 4(q) $$

The given values are:

$$ p = 2 $$

$$ q = 5 $$

Step 2: Substitute the values

Replace \( p \) with \( 2 \) and \( q \) with \( 5 \) in the expression:

$$ (2 - 5)(2) - 4(5) $$

Step 3: Simplify inside the parentheses

Calculate the subtraction inside the first set of parentheses:

$$ 2 - 5 = -3 $$

Now substitute this back into the expression:

$$ (-3)(2) - 4(5) $$

Step 4: Perform multiplications

Multiply the terms:

$$ (-3)(2) = -6 $$

$$ 4(5) = 20 $$

This simplifies the expression to:

$$ -6 - 20 $$

Step 5: Subtract the numbers

Combine the remaining terms:

$$ -6 - 20 = -26 $$

Answer:

-26