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Divide coefficients: 36÷6=636 \div 6 = 6. For exponents, apply the quotient rule: y4÷y2=y4−2=y2y^4 \div y^2 = y^{4-2} = y^2. Combine: 6y26y^2. Option A is correct. Option B incorrectly multiplies instead of dividing. Option C adds exponents instead of subtracting. Option D adds coefficient incorrectly. GED algebra often includes exponent laws: am÷an=am−na^m \div a^n = a^{m-n}. Check by substitution: let y=2y=2, original = 36(16)/(6(4))=576/24=2436(16)/(6(4)) = 576/24 = 24. Simplified: 6(4)=246(4) = 24. Matches, confirming correctness.

The Monroe Doctrine, issued by President James Monroe, stated that the Western Hemisphere was closed to new European colonization or interference. It asserted U.S. opposition to foreign involvement in Latin America. Option A is correct. Option B confuses it with later imperialism. Option C misplaces it chronologically—after the War of 1812, the U.S. sought peace, not war. Option D inaccurately describes alliances, which were not formalized. On the GED Social Studies exam, connect doctrines to their core foreign policy role: Monroe Doctrine = Western Hemisphere warning; Truman Doctrine = Cold War containment; Marshall Plan = economic aid. Understanding each helps in comparing historical policies.

Slope formula: m=(y2−y1)/(x2−x1)m = (y₂ − y₁)/(x₂ − x₁). Substituting: (13 − 5) ÷ (6 − 2) = 8 ÷ 4 = 2. Wait—recheck. Correction: (13 − 5) = 8; (6 − 2) = 4; slope = 8 ÷ 4 = 2. The correct slope is 2, so Option A, not B. Let’s clarify: Option A = 2 is correct. Errors occur from arithmetic slips. GED algebra often includes slope questions; remember slope is rise/run (vertical change over horizontal change). Here, rise = 8, run = 4, so slope = 2. Always double-check by graphing roughly: from (2,5) to (6,13), you go up 8 and over 4—ratio 2. Distractors test miscalculation (e.g., dividing 13/6 or reversing differences). Reliable strategy: subtract in the same order for numerator and denominator.

Option B correctly uses “that” to integrate the quotation into the sentence flow with a lowercase start and proper quotation marks. Option A is acceptable in journalism but can be choppy; academic style often prefers signal phrases like “that.” Option C misuses a semicolon; semicolons join independent clauses, not introduce quotes. Option D uses a colon correctly only if the lead-in is an independent clause meant to introduce a complete sentence; “The report states” is a verb phrase, not a full clause, so a colon is awkward here. On GED RLA, integrate quotes smoothly: use signal verbs (“states,” “argues,” “notes”), choose that for indirect style, or use a colon after a complete clause when presenting a full-sentence quote. Keep periods inside the closing quotation mark in American English.

The Sixth Amendment guarantees rights of criminal defendants, including a speedy and public trial, impartial jury, notice of charges, confrontation of witnesses, and right to counsel. Option C is correct. Option A is First Amendment. Option B is Fifth Amendment. Option D is Eighth Amendment. On GED Social Studies, match amendments: 1st = freedoms, 4th = search/seizure, 5th = self-incrimination, 6th = trial rights, 8th = bail/punishment.