Accuplacer Practice Test

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

The correct answer is: 50

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.