Accuplacer Practice Test

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Given x=3, y=-4, and z=2, what is the value of x(y-3z)?

The correct answer is: -30

To find the value of the expression $ x(y - 3z) $ using the given values $ x = 3 $, $ y = -4 $, and $ z = 2 $, we first need to calculate $ y - 3z $. 1. Start with $ z $: - Since $ z = 2 $, we calculate $ 3z $: \[ 3z = 3 \times 2 = 6 \] 2. Now substitute this back into the expression for $ y - 3z $: - We already have $ y = -4 $: \[ y - 3z = -4 - 6 \] \[ y - 3z = -10 \] 3. Now that we have $ y - 3z = -10 $, we multiply this by $ x $: - We substitute $ x = 3 $: \[ x(y - 3z) = 3 \times -10 = -30 \] Therefore, the correct value of the expression $ x(y - 3z) $ is $ -30 $, which means the choice is indeed consistent with this