if then n is between

ATI TEAS 7

TEAS Math Practice Test

1. If 𝑛 = 8, then n is between which of the following ranges?

A. 5 and 7
B. 7 and 9
C. 9 and 11
D. 3 and 5

Correct answer: B

Rationale: To find the range where n lies when n = 8, we consider numbers greater and lesser than 8. The range would be between 7 and 9, not 9 and 11 as stated in the original rationale. Option A (5 and 7) and Option D (3 and 5) are lower ranges, while Option C (9 and 11) exceeds the upper limit.

2. Anna is buying fruit at the farmers’ market. She selects 1.2 kilograms of apples, 800 grams of bananas, and 300 grams of strawberries. The farmer charges her a flat rate of $4 per kilogram. What is the total cost of her produce?

A. $4.40
B. $5.24
C. $9.20
D. $48.80

Correct answer: C

Rationale: To calculate the total cost, convert all weights to kilograms. 800 grams = 0.8 kilograms; 300 grams = 0.3 kilograms. Add up the weights: 1.2 kg + 0.8 kg + 0.3 kg = 2.3 kg. Multiply the total weight by the cost per kilogram: 2.3 kg × $4/kg = $9.20. Therefore, the total cost of her produce is $9.20. Choice A, $4.40, is incorrect as it does not account for the total weight of all the fruits. Choice B, $5.24, is incorrect as it does not accurately calculate the total cost based on the given weights and price per kilogram. Choice D, $48.80, is incorrect as it is significantly higher than the correct total cost and suggests an incorrect calculation method.

3. The cost of renting a bicycle is $3.60 per hour. Which equation shows the best relationship between the total cost (C) and the number of hours (h) rented?

A. C = 3.60h
B. C = h + 3.60
C. C = 3.60h + 10.80
D. C = 10.80h

Correct answer: A

Rationale: The best relationship is C = 3.60h because the cost increases by $3.60 for each hour of rental. This equation represents a linear relationship where the total cost (C) is directly proportional to the number of hours rented (h). Choice B (C = h + 3.60) is incorrect because it wrongly assumes a fixed additional cost of $3.60 regardless of the number of hours rented. Choice C (C = 3.60h + 10.80) is incorrect as it overestimates the initial cost. Choice D (C = 10.80h) is incorrect as it implies a constant rate of $10.80 per hour, which is not the case.

4. At the beginning of the day, Xavier has 20 apples. At lunch, he meets his sister Emma and gives her half of his apples. After lunch, he stops by his neighbor Jim's house and gives him 6 of his apples. He then uses 3/4 of his remaining apples to make an apple pie for dessert at dinner. At the end of the day, how many apples does Xavier have left?

A. 4
B. 6
C. 2
D. 1

Correct answer: D

Rationale: Xavier gives away half of his 20 apples (10), then gives 6 more apples, leaving him with 4 apples. He uses 3/4 of the remaining 4 apples (3) for the pie, leaving him with 1 apple at the end of the day. Therefore, the correct answer is 1. Choices A, B, and C are incorrect because they do not accurately reflect the calculations of apples given away and used for the pie, resulting in the remaining amount of 1 apple.

5. Which of the following weights is equivalent to 3.193 kilograms?

A. 3,193,000 grams
B. 3,193 grams
C. 319.3 grams
D. 0.003193 grams

Correct answer: B

Rationale: To convert kilograms to grams, you need to remember that 1 kilogram is equal to 1,000 grams. Therefore, 3.193 kilograms is equivalent to 3,193 grams (3.193 kg * 1,000 g/kg = 3,193 g). Choice A (3,193,000 grams) incorrectly converts kilograms to milligrams, Choice C (319.3 grams) incorrectly moves the decimal point one place to the right, and Choice D (0.003193 grams) incorrectly converts kilograms to milligrams and then further to grams.