Accuplacer Practice Test 2025 - Free Accuplacer Practice Questions and Study Guide

Question: 1 / 400

Calculate the following expression when x=3, y=-4, and z=2: 3y^2 - 2x + 4z

To evaluate the expression 3y² - 2x + 4z with the given values of x = 3, y = -4, and z = 2, start by substituting these values into the expression:

1. Calculate y²:

$ y² = (-4)² = 16 $

2. Multiply by 3:

$ 3y² = 3 * 16 = 48 $

3. Calculate -2x:

$ -2x = -2 * 3 = -6 $

4. Calculate 4z:

$ 4z = 4 * 2 = 8 $

Now, combine all these results:

$ 3y² - 2x + 4z = 48 - 6 + 8 $

Calculating this step-by-step:

$ 48 - 6 = 42 $

$ 42 + 8 = 50 $

Thus, the correct answer is 50. This reflects a thorough application of the order of operations and systematic substitution into the expression.

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