TEAS Exam Math Practice

Correct Answer: C

Rationale: To find the perimeter of the square, we first need to find the side length. Since the area of a square is side length squared (5625 = side length x side length), the side length is √5625 = 75 feet. The perimeter of a square is 4 times the side length, so 4 x 75 = 300 feet. Therefore, Melissa needs 300 feet of fencing. Summary: A) 75 feet - Incorrect. This is the side length, not the perimeter. B) 150 feet - Incorrect. This is half the perimeter. C) 300 feet - Correct. The perimeter of the square. D) 5,625 feet - Incorrect. This is the total area, not the perimeter.

Correct Answer: A

Rationale: The correct answer is A: 13% decline. To calculate the overall percentage growth or decline in business, we need to consider the weighted average change. First, calculate the weighted average change for print subscriptions: (40% decrease x 70% weight) = 28% decrease. Then, calculate the weighted average change for online subscriptions: (60% increase x 25% weight) = 15% increase. Finally, subtract the increase from the decrease to get the overall change: 15% - 28% = -13%. Therefore, there is a 13% decline in business. Summary: A: 13% decline - Correct B: 15% decline - Incorrect, as it doesn't account for the weighted average. C: 28% growth - Incorrect, as it doesn't consider the decrease in print subscriptions. D: 8% growth - Incorrect, as it doesn't consider the weighted average change.

Correct Answer: D

Rationale: To subtract numbers in scientific notation, we need to ensure the exponents are the same. First, convert 2.98 x 10^2 to 0.298 x 10^3. Then, subtract 4.71 x 10^3 - 0.298 x 10^3 = 4.412 x 10^3. Therefore, the correct answer is D. Choices A, B, and C are incorrect as they do not reflect the correct result of the subtraction operation.

Correct Answer: B

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: B

Rationale: To find the total area to be painted, calculate the area of each wall in square feet and convert to square meters. Add all areas together. Then divide by 32 to get the number of gallons. For this case, the correct answer is B: 1.43 gallons. This is calculated by first finding the total area to be painted which is 15x9 + 15x9 + 12.5x9 + 12.5x9 = 337.5 square feet. Converting this to square meters gives 31.36 square meters. Dividing by 32 (the coverage per gallon) gives approximately 1.43 gallons. The other choices are incorrect because they do not reflect the accurate calculation based on the given information.