Algebra Practice Test 2025 – Complete Exam Preparation

Question: 1 / 400

Evaluate the expression y ÷ x for y = -4 and x = 16. What is the result?

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To evaluate the expression \( y \div x \) with the given values \( y = -4 \) and \( x = 16 \), we can substitute these values into the expression.

Starting with:

\[

y \div x = -4 \div 16

\]

When dividing, we can think of the operation as follows:

\[

-4 \div 16 = -\frac{4}{16}

\]

Next, we simplify the fraction \( -\frac{4}{16} \). The fraction can be reduced by dividing both the numerator and the denominator by their greatest common divisor, which is 4:

\[

-\frac{4 \div 4}{16 \div 4} = -\frac{1}{4}

\]

Thus, the result of the expression \( y \div x \) is \( -\frac{1}{4} \). This outcome aligns perfectly with the answer choice that specifies \( -\frac{1}{4} \) as the result.

Understanding the process of simplifying fractions and performing division with negative numbers is essential here, and it leads us to the correct answer in this case.

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