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Distribute: 5x−10+3x+12=8x+25x - 10 + 3x + 12 = 8x + 2. Option A is correct. Option B results from subtracting constants incorrectly. Option C miscombines coefficients. Option D misadds constants. On GED algebra, always expand parentheses carefully and group like terms. Quick check: substitute x=1x=1. Original = 5(−1)+3(5)=−5+15=105(-1)+3(5)= -5+15=10. Option A = 8(1)+2=108(1)+2=10. Matches.

Mean = sum ÷ count. Sum = 6 + 8 + 10 + 16 = 40. Count = 4 numbers. 40 ÷ 4 = 10. Option B is correct. Option A comes from incorrect sum (36). Option C misdivides. Option D miscalculates by adding an extra. GED Math stresses careful arithmetic in averages. Check by estimation: numbers range 6–16; mean should be in the middle, about 10. Verify by plugging: 10 × 4 = 40. Always check placement between lowest and highest value.

Heat from the Sun travels through the vacuum of space by radiation—electromagnetic waves, especially visible light and infrared. Option C is correct. Conduction (A) requires direct contact; convection (B) requires fluid movement—neither occurs across space. Reflection (D) is a process that reduces warming by bouncing energy away. GED Science often tests three transfer modes: conduction (solids, direct contact), convection (fluids), radiation (through space). Tip: Sun → Earth = radiation only. Within Earth’s atmosphere, conduction and convection also move heat.

Let the larger number be xx and the smaller number be yy. The problem gives two linear equations: x+y=26x + y = 26 (sum) and x−y=8x - y = 8 (difference). Add the equations to eliminate yy: (x+y)+(x−y)=26+8⇒2x=34(x + y) + (x - y) = 26 + 8 \Rightarrow 2x = 34. Divide both sides by 2 to isolate xx: x=17x = 17. Substituting back to check: if x=17x = 17, then y=26−17=9y = 26 - 17 = 9. Verify the difference: 17−9=817 - 9 = 8, which matches the given condition. Therefore, the larger number is 17 (Option C). This classic system can also be solved by averaging: when you know sum and difference, the larger number is (sum+difference)/2=(26+8)/2=17(\text{sum} + \text{difference})/2 = (26 + 8)/2 = 17; the smaller is (sum−difference)/2=(26−8)/2=9(\text{sum} - \text{difference})/2 = (26 - 8)/2 = 9. On the GED, recognizing structures like “sum and difference” speeds problem solving: use elimination, substitution, or mental arithmetic with averages. Always perform a quick check by plugging values back into both conditions to avoid simple sign or arithmetic errors.

Passive voice occurs when the object of the action becomes the subject. In Option B, “policy” is acted upon by “committee,” making it passive. Option A, C, and D are active—subjects perform the action. GED RLA often asks to distinguish or revise passive voice. Tip: if sentence contains “was” or “were” + past participle + “by,” it is likely passive. Active voice is generally clearer and preferred in academic writing, though passive may be appropriate in scientific contexts.