elijah drove 45 miles to his job in an hour and ten minutes in the morning on the way home in the evening however trafic was much heavier and the same

ATI TEAS 7

TEAS Test Practice Math

1. Elijah drove 45 miles to his job in an hour and ten minutes in the morning. On the way home in the evening, however, the traffic was much heavier, and the same trip took an hour and a half. What was his average speed in miles per hour for the round trip?

A. 30
B. 45
C. 36
D. 40

Correct answer: A

Rationale: To find the average speed for the round trip, we calculate the total distance and total time traveled. The total distance for the round trip is 45 miles each way, so 45 miles * 2 = 90 miles. The total time taken for the morning trip is 1 hour and 10 minutes (1.17 hours), and for the evening trip is 1.5 hours. Therefore, the total time for the round trip is 1.17 hours + 1.5 hours = 2.67 hours. To find the average speed, we divide the total distance by the total time: 90 miles / 2.67 hours ≈ 33.7 miles per hour. The closest option is A, 30 miles per hour, making it the correct answer. Choice B (45) is the total distance for the round trip, not the average speed. Choices C (36) and D (40) are not derived from the correct calculations and do not represent the average speed for the round trip.

2. Simplify the following expression: 1.034 + 0.275 - 1.294

A. 0.015
B. 0.15
C. 1.5
D. -0.15

Correct answer: A

Rationale: To simplify the expression, begin by adding 1.034 and 0.275, which equals 1.309. Then, subtract 1.294 from the sum: 1.309 - 1.294 = 0.015. Therefore, the correct answer is 0.015. Choice B (0.15) is incorrect as it does not reflect the accurate calculation. Choice C (1.5) is incorrect as it is not the correct result of the expression simplification. Choice D (-0.15) is incorrect as it represents a different value than the correct outcome of the expression simplification.

3. In a class of 30 students, with 60% boys and 40% girls, how many girls are in the class?

A. 18 girls
B. 12 girls
C. 15 girls
D. 10 girls

Correct answer: B

Rationale: To find the number of girls in the class, we need to calculate 40% of the total number of students, which is 30. 40% of 30 is 0.40 * 30 = 12 girls. Therefore, there are 12 girls in the class. Choice A, 18 girls, is incorrect as it miscalculates the percentage. Choice C, 15 girls, is incorrect as it misrepresents the correct calculation. Choice D, 10 girls, is incorrect as it underestimates the number of girls in the class.

4. How many milliliters are there in 3.2 liters?

A. 0.32
B. 32
C. 3200
D. 320

Correct answer: C

Rationale: To convert liters to milliliters, you need to know that 1 liter is equal to 1000 milliliters. Therefore, 3.2 liters is equivalent to 3.2 x 1000 = 3200 milliliters. Choice A (0.32) is incorrect as it incorrectly moves the decimal point. Choice B (32) is incorrect as it doesn't consider the conversion factor between liters and milliliters. Choice D (320) is incorrect as it is a partial conversion error, missing a zero at the end.

5. Which of the following is the decimal form of 87.5%?

A. 875
B. 8,750
C. 0.875
D. 8.75

Correct answer: C

Rationale: To convert a percentage to a decimal, you move the decimal point two places to the left. Therefore, 87.5% as a decimal is 0.875. Choice A (875) is incorrect as it represents the percentage without converting to a decimal. Choice B (8,750) is incorrect as it represents the percentage in whole numbers without decimal conversion. Choice D (8.75) is incorrect as it represents 875% instead of 87.5%.