Mathematics & Science
⏱ ~3-min readAceMark GuideWhat this topic is really about
The sum of the interior angles of any triangle in Euclidean geometry is always 180 degrees, which is a fundamental property of three-sided polygons. Option D is incorrect because 360 degrees is the sum of the interior angles of a quadrilateral, or the sum of the exterior angles of any polygon.
Solving the linear equation 2x + 7 = 19 involves subtracting 7 from both sides to get 2x = 12, and then dividing by 2 to find that x equals 6. Distractors like 5 are incorrect because substituting them into the equation does not satisfy the equality, yielding 17 instead of 19.
See the mechanism
Solving the linear equation 2x + 7 = 19 involves subtracting 7 from both sides to get 2x = 12, and then dividing by 2 to find that x equals 6. A diagram for this topic isn't available yet — the worked example below walks the same reasoning step by step.
An exam-style question, fully explained
The equation 2x + 7 = 19 has solution x =
- Identify what the question tests: The equation 2x + 7 = 19 has solution x =.
- Solving the linear equation 2x + 7 = 19 involves subtracting 7 from both sides to get 2x = 12, and then dividing by 2 to find that x equals 6.
- Distractors like 5 are incorrect because substituting them into the equation does not satisfy the equality, yielding 17 instead of 19.
Traps the examiner sets
- Distractors like 5 are incorrect because substituting them into the equation does not satisfy the equality, yielding 17 instead of 19.
- An option like 40 is incorrect because 40 squared is only 1600, while 44 squared is 1936, making 42 the only mathematically correct choice.
- Option A is incorrect because it describes cellular respiration, which is the reverse reaction where glucose is broken down to release energy.
- Option A (So) is incorrect as it is a common distractor that does not exist on the periodic table, while S represents sulfur and Sn represents tin.
- Option D is incorrect because 360 degrees is the sum of the interior angles of a quadrilateral, or the sum of the exterior angles of any polygon.
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