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ATI TEAS 7

TEAS Test Math Prep

1. If a car travels 150 miles in 3 hours, what is the car's average speed in miles per hour?

Correct answer: B

Rationale: To calculate the average speed, use the formula: Average speed = Total distance / Total time. In this case, Average speed = 150 miles / 3 hours = 50 mph. Therefore, the car's average speed is 50 miles per hour. Choice A (45 mph), Choice C (55 mph), and Choice D (60 mph) are incorrect as they do not match the correct calculation based on the given distance and time values.

2. An athlete runs 5 miles in 25 minutes and then changes pace to run the next 3 miles in 15 minutes. Overall, what is the average time in minutes it takes the athlete to run 1 mile?

Correct answer: B

Rationale: To find the average time per mile, add the total time taken to cover all miles and then divide by the total miles run. The athlete ran 5 miles in 25 minutes and 3 miles in 15 minutes, totaling 8 miles in 40 minutes. Therefore, the average time per mile is 40 minutes ÷ 8 miles = 5 minutes. Choice A, 7 minutes, is incorrect as it does not reflect the correct average time per mile. Choice C, 6.5 minutes, is incorrect since the calculation is not based on the given information. Choice D, 8.5 minutes, is incorrect as it does not represent the average time per mile for the entire run.

3. If 35% of a paycheck is deducted for taxes and 4% for insurance, what is the total percent taken out of the paycheck?

Correct answer: C

Rationale: When 35% is deducted for taxes and 4% for insurance, the total percentage taken out of the paycheck is 35% + 4% = 39%. Therefore, the correct answer is 39%, which corresponds to option C. Option A (20%) is incorrect because it does not account for the total deductions. Option B (31%) is incorrect as it does not sum up the percentages correctly. Option D (42%) is incorrect as it overestimates the total deductions.

4. Melissa is ordering fencing to enclose a square area of 5625 square feet. How many feet of fencing does she need?

Correct answer: C

Rationale: To find the side length of the square, we take the square root of the area: √5625 ft² = 75 ft. The perimeter of a square is 4 times its side length, so the fencing needed is 4 × 75 ft = 300 ft. Therefore, Melissa needs 300 feet of fencing to enclose the square area of 5625 square feet. Option A (75 feet) is the side length of the square, not the fencing needed. Option B (150 feet) is half of the correct answer and does not account for all sides of the square. Option D (5,625 feet) is the total area, not the length of fencing required.

5. A woman’s dinner bill comes to $48.30. If she adds a 20% tip, which of the following will be her total bill?

Correct answer: D

Rationale: To calculate the total bill after adding a 20% tip, you need to find 120% of the original bill. This is because adding a 20% tip means paying 120% of the bill. So, $48.30 × 120/100 = $57.96. Therefore, the correct answer is $57.96. Choice A ($9.66) is incorrect as it represents only the 20% tip amount. Choice B ($38.64) is incorrect as it is the original bill amount without the tip. Choice C ($48.30) is incorrect as it is the original bill amount and does not include the additional 20% tip.

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