Algebra Practice Test 2025 – Complete Exam Preparation

Question: 1 / 400

What is the solution to the equation |2x - 3| = 5?

x = -1, 4

To solve the equation |2x - 3| = 5, we need to consider the definition of absolute value. The absolute value expression |a| = b translates into two possible equations: a = b or a = -b.

In this case, we set up two equations based on the absolute value:

1. 2x - 3 = 5

2. 2x - 3 = -5

For the first equation, we add 3 to both sides:

2x - 3 + 3 = 5 + 3

2x = 8

Next, we divide both sides by 2:

2x/2 = 8/2

x = 4

For the second equation, we also add 3 to both sides:

2x - 3 + 3 = -5 + 3

2x = -2

Dividing both sides by 2 gives us:

2x/2 = -2/2

x = -1

Thus, we find two solutions: x = 4 and x = -1.

These values satisfy the original equation, which means the complete set of solutions to the equation |2x - 3|

Get further explanation with Examzify DeepDiveBeta

x = 1, 3

x = 0, 5

x = 2, 3

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