Test of Essential Academic Skills (TEAS) ATI Mathematics Practice Test

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Prepare for the TEAS ATI Mathematics Test with flashcards and multiple-choice questions. Each question comes with hints and explanations to enhance your learning. Boost your chances of passing!

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Which algebraic equation reflects the statement: four more than a number, x, is 2 less than 1/3 of another number, y?

x + 4 = 1/3y - 2
4x = 2 - 1/3y
4 - x = 2 + 1/3y
x + 4 = 2 - 1/3y

The correct answer is: x + 4 = 1/3y - 2

The algebraic equation correctly reflecting the statement "four more than a number, x, is 2 less than 1/3 of another number, y" is derived by breaking down the components of the statement into mathematical terms. The phrase "four more than a number, x" translates to x + 4. This portrays the addition of 4 to the unknown number x. The second part of the statement states that this quantity (x + 4) is equal to "2 less than 1/3 of another number, y". To express "1/3 of another number, y", we write this as (1/3)y. When it says "2 less than (1/3)y", this can be mathematically expressed as (1/3)y - 2. Putting these two parts together gives the complete equation: x + 4 = (1/3)y - 2. This matches option A perfectly, capturing both the relationships and operations described in the initial statement. The other options do not accurately reflect the components of the statement or the relationships between the numbers involved, thus they do not work as valid representations of what the problem states.