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Slope formula: (y2−y1)/(x2−x1)(y_2 - y_1) / (x_2 - x_1). Here: (7−3)/(6−2)=4/4=1(7 - 3)/(6 - 2) = 4/4 = 1. Option A is correct. Option B (2) comes from dividing 4 by 2 incorrectly. Option C (3/2) and Option D (4/3) misapply differences. GED slope tips: subtract y’s, subtract x’s, keep consistent order, simplify. Positive slope means line rises left → right.

The First Amendment protects freedoms of speech, press, religion, assembly, and petition. Publishing criticism of government officials falls under freedom of the press (Option B) and is core to democratic accountability. Option A deals with public safety regulations; speech rights can be lawfully limited by content-neutral rules like burn bans for fire safety. Option C is criminal fraud; the First Amendment does not protect speech integral to illegal conduct. Option D concerns the Fourth Amendment, which guards against unreasonable searches and seizures; warrantless searches usually require an exception. On the GED, map scenarios to amendments: 1st (speech/press/assembly/religion/petition), 2nd (bear arms), 4th (search/seizure), 5th (due process/self-incrimination), 6th (fair trial), 8th (bail/punishment). Recognizing these connections speeds elimination of distractors that invoke the wrong constitutional protection or illegal acts.

Circumference CC equals 2πr2\pi r. With r=7r=7,

C=2π(7)=14π≈14×3.14=43.96 cm.C = 2\pi(7) = 14\pi \approx 14 \times 3.14 = 43.96\ \text{cm}.

Option A states both exact and approximate values correctly. Option B (7π7\pi) is half the correct expression—students sometimes forget the factor of 2. Option C (49π49\pi) is the area formula’s core (πr2\pi r^2), not circumference. Option D gives only 2π2\pi, which would be the circumference for a unit circle r=1r=1, not r=7r=7. On the GED, distinguish circumference vs. area: circumference measures distance around (linear units), while area measures covering (square units). A quick check: if radius doubles, circumference doubles (linear), but area quadruples (squared relationship). Keeping formulas paired—C=2πrC=2\pi r and A=πr2A=\pi r^2—helps prevent mixing them during timed problem solving.

Comparisons must match grammatically parallel items. The original sentence compares “buses” to “cars” but implies modes of use matter (taking a bus vs. driving a car). Option C aligns the structures—taking the bus vs. driving a car—and adds the clarifying condition. Option A adds words without fixing the structural mismatch. Option B is close, but “city buses” versus “driving a car” remains slightly misaligned (thing vs. action). Option D adds a weak causal claim and keeps the mismatch. On GED RLA, check both sides of “than”: can each slot grammatically replace the other? If not, revise so both sides are parallel noun phrases or parallel gerunds/infinitives. Clear, parallel constructions prevent ambiguity and strengthen style.

Total marbles =4+5+1=10=4+5+1=10. First draw blue: 5/10=1/25/10=1/2. Without replacement, remaining blue =4=4, remaining total =9=9. Second draw blue: 4/94/9. Multiply (dependent events): (1/2)×(4/9)=4/18=2/9(1/2)\times(4/9)=4/18=2/9. That equals 2/92/9, which as a single fraction is 0.222...0.222.... Option D shows 5/185/18 (~0.277...), which is incorrect. Check choices: A =0.1=0.1, B =0.111...=0.111..., C =0.5=0.5, D =0.277...=0.277.... None equals 2/92/9. The correct probability is 2/92/9. If forced to choose, none fits; however, on a real GED, answers will include 2/92/9. Key method: (blue/total) × (blue−1)/(total−1). Careful attention to “without replacement” is crucial; forgetting it yields (1/2)×(1/2)=1/4(1/2)\times(1/2)=1/4, which is wrong.