TEAS Test Practice Math

Questions 37

ATI TEAS 7

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TEAS Test Practice Math Questions

Question 1 of 5

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?

Correct Answer: A

Rationale: To find average speed, we use the formula: Total Distance / Total Time. For the morning trip: 45 miles / 1.17 hours = 38.46 mph. For the evening trip: 45 miles / 1.5 hours = 30 mph. Total distance = 45 miles + 45 miles = 90 miles. Total time = 1.17 hours + 1.5 hours = 2.67 hours. Average speed = 90 miles / 2.67 hours = 33.71 mph, which rounds to 30 mph (Choice A). Other choices are incorrect because they do not match the calculated average speed for the round trip.

Question 2 of 5

Adrian measures the circumference of a circular picture frame with a radius of 3 inches. Which of the following is the best estimate for the circumference of the frame?

Correct Answer: C

Rationale: To find the circumference of a circle, we use the formula C = 2πr, where r is the radius. Given that the radius is 3 inches, we substitute r = 3 into the formula: C = 2π(3) = 6π ≈ 18.85 inches. The best estimate among the choices is C: 18 inches, as it is closest to the actual calculated value of 18.85 inches. Choice A (12 inches) and B (16 inches) are too small, while choice D (24 inches) is too large compared to the calculated circumference.

Question 3 of 5

What is the simplest way to write the following expression? 5x - 2y + 4x + y

Correct Answer: A

Rationale: To simplify the given expression, combine like terms with the same variables. The expression 5x - 2y + 4x + y simplifies to 9x - y. Combine the x terms (5x + 4x = 9x) and the y terms (-2y + y = -y) to get 9x - y. This is the simplest form of the expression. The other choices are incorrect because they do not correctly combine the like terms or do not simplify the expression to its simplest form. Option B incorrectly subtracts 3y instead of y. Option C incorrectly adds 3y. Option D is not a simplified form of the expression as it lists x and y separately without combining like terms. So, the correct answer is A: 9x - y.

Question 4 of 5

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: To find the total percent deducted, you add the percentages taken for taxes and insurance. 35% + 4% = 39%. Therefore, the correct answer is C (39%). Choice A (20%) is too low, as it only considers the tax deduction. Choice B (31%) and Choice D (42%) are incorrect because they don't account for both deductions.

Question 5 of 5

On a highway map, the scale indicates that 1 inch represents 45 miles. If the distance on the map is 3.2 inches, how far is the actual distance in miles?

Correct Answer: A

Rationale: To find the actual distance in miles, multiply the map distance by the scale factor. 3.2 inches * 45 miles/inch = 144 miles. Choice A is correct because it correctly applies the scale factor. Choices B, C, and D are incorrect because they do not properly calculate the actual distance using the scale provided on the map.

Similar Questions

On a highway map, the scale indicates that 1 inch represents 45 miles. If the distance on the map is 3.2 inches, how far is the actual distance in miles?
Bob decides to go into business selling lemonade. He buys a wooden stand for $45 and sets it up outside his house. He figures that the cost of lemons, sugar, and paper cups for each glass of lemonade sold will be 10�. Which of these expressions describes his cost for making g glasses of lemonade?
Dr. Lee observed that 30% of all his patients developed an infection after taking a certain antibiotic. He further noticed that 5% of those 30% required hospitalization to recover from the infection. What percentage of Dr. Lee's patients were hospitalized after taking the antibiotic?
A taxi service charges $50 for the first mile, $50 for each additional mile, and 20� per minute of waiting time. Joan took a cab from her place to a flower shop 8 miles away, where she bought a bouquet, then another 6 miles to her mother's place. The driver had to wait 9 minutes while she bought the bouquet. What was the fare?
If 1 inch on a map represents 60 ft, how many yards apart are two points if the distance between the points on the map is 10 inches?

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