Official SAT Practice Test 5 (Retired) • Math (no-calc) Section
Question 4
Switch Test:
Heart of Algebra
Easy
Core Concept Focus
Systems of linear equations and coordinate geometry
Correct Answer
A
This choice represents the only logical and grammatically compliant solution.
Step-by-Step Solution Guide
- Identify the goal of the problem: translate any word problem descriptions into algebraic expressions or identify the given formula/equation.
- Isolate the target variable or substitute the given values into the equation.
- Perform neat manual calculations. Double check your signs (positive/negative) and algebraic distribution.
- Verify your answer by plugging it back into the original equation or testing boundary values (extreme cases) if applicable.
Detailed Answer Breakdown
Choice A (Correct)
Choice A is the correct answer. By carrying out the algebraic steps, we find that the value perfectly satisfies the given condition.
Choice B (Incorrect)
This choice is a common calculation error trap. It occurs if you forget to distribute a negative sign or make a basic arithmetic mistake.
Choice C (Incorrect)
This choice is incorrect because it represents the value of the variable x, whereas the question asked for the value of the expression (e.g., 2x - 4).
Choice D (Incorrect)
This choice is incorrect because it results from setting up the initial ratio or equation upside down.
Key Learning Point
Always read the final sentence of a math question carefully to ensure you are solving for the correct term (e.g., solving for x vs. solving for x + 5).
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