Question

question: simplify the expression below.

((3x^3 + 2x^2 - 5x) + (-8x^3 + 3x))

a (-11x^3 + 2x^2 - 2x)
b (11x^3 - 2x^2 + 8x)
c (-5x^3 + 2x^2 - 2x)
d (5x^3 - 2x^2 - 8x)

question: what value of (x) makes the equation below true?

(\frac{x + 3}{2} = 8)

a 1
b 5
c 13
d 19

Explanation:

⚡ Using what you learned: simplifying expressions

Step 1: Group like terms for the first question

Combine the terms with the same exponents:

$$ (3x^3 - 8x^3) + 2x^2 + (-5x + 3x) $$

Step 2: Simplify coefficients

$$ -5x^3 + 2x^2 - 2x $$

This matches option C.

Step 3: Solve the equation in the second question

Multiply both sides by \(2\):

$$ x + 3 = 16 $$

Step 4: Isolate x

Subtract \(3\) from both sides:

$$ x = 13 $$

This matches option C.

Answer:

First Question:
C \( -5x^3 + 2x^2 - 2x \)

Second Question:
C \( 13 \)