California Assessment of Student Performance and Progress (CAASPP) Math Practice Exam

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Solve the equation: 4(x - 2) = 16.

x = 4
x = 6
x = 8
x = 10

The correct answer is: x = 6

To solve the equation 4(x - 2) = 16, the first step is to isolate the term containing x. This can be done by dividing both sides of the equation by 4: 1. **Dividing both sides by 4:** (4(x - 2))/4 = 16/4 This simplifies to: x - 2 = 4 2. **Next, add 2 to both sides:** x - 2 + 2 = 4 + 2 This leads to: x = 6 The correct answer is x = 6. The steps taken illustrate the balancing method in algebra, which ensures that whatever action is performed on one side of the equation is equally performed on the other side, maintaining the equality. The reason other options do not work is simply that they do not satisfy the original equation when substituted back in. For instance, substituting 4, 8, or 10 in place of x will not yield a true statement when plugged back into the equation 4(x - 2) = 16.