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This is a basic linear equation involving variables on both sides. Begin by moving all x terms to one side and constants to the other. Subtract 2x from both sides:

x + 4 = −1.

Next, subtract 4 from both sides:

x = −5.

Therefore, option C is correct. Option D would be correct only if the constant were mishandled. The NEX frequently includes straightforward algebra problems like this to assess understanding of balancing equations and using inverse operations correctly.

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This question tests calculation of the mean. First, add all the infant weights:

8.5 + 11 + 7 + 5 + 7 + 4.5 + 9 + 8 = 60 pounds.

Next, divide the total by the number of infants: 60 ÷ 8 = 7.5? Recheck carefully: 60 ÷ 8 = 7.5, but reviewing the answer choices and recalculating the sum more carefully:

8.5 + 11 = 19.5

19.5 + 7 = 26.5

26.5 + 5 = 31.5

31.5 + 7 = 38.5

38.5 + 4.5 = 43

43 + 9 = 52

52 + 8 = 60

60 ÷ 8 = 7.5, which corresponds to option C.

This is a rate and proportion problem. First, determine how many miles the car travels per gallon. Since the car travels 15.6 miles on

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of a gallon, divide: 15.6 ÷ 0.75 = 20.8 miles per gallon. Next, multiply this rate by the total number of gallons: 20.8 × 5 = 104 miles. Therefore, option C is correct. Option A represents miles per gallon, not total distance. Option B is a partial multiplication error. Option D results from multiplying before finding the correct rate. NEX questions frequently assess whether students can correctly identify unit rates before scaling up.

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This problem requires converting a fraction into a percent, a frequent NEX skill. Begin by convertinginto a decimal. Divide 1 by 25:

1 ÷ 25 = 0.04.

Next, convert the decimal to a percent by multiplying by 100:

0.04 × 100 = 4%.

Thus, the correct answer is B. Option A (0.4%) results from moving the decimal only one place instead of two. Option C (1.25%) corresponds to, and option D (25%) equals. NEX exam questions like this emphasize accurate decimal placement and awareness that percent conversion always involves multiplying by 100.