ATI TEAS 7
TEAS Math Practice Test Questions
Question 1 of 5
What is the value of the sum of 3/4 and 5/8?
Correct Answer: D
Rationale: To find the sum of fractions, they need to have a common denominator. In this case, the common denominator is 8. So, 3/4 = 6/8. Adding 6/8 and 5/8 gives 11/8, which simplifies to 1 3/8. Therefore, the correct answer is 1 3/8, which corresponds to choice A. Choices B, C, and D are incorrect as they do not represent the correct sum of 3/4 and 5/8.
Question 2 of 5
Divide 52 by 27 and 51 by 27 and simplify.
Correct Answer: A
Rationale: In the given problem, we are asked to divide 52 by 27 and 51 by 27. To divide 52 by 27, we perform the division and get 1 with a remainder of 25. So, 52 divided by 27 is 1 and 25/27. This can also be expressed as 1.925 or 1 25/27 in mixed number form. To divide 51 by 27, we perform the division and get 1 with a remainder of 24. So, 51 divided by 27 is 1 and 24/27. This can also be expressed as 1.888 or 1 24/27 in mixed number form. The correct answer is A) 52/27 because it represents the accurate result of dividing 52 by 27. Option B) 51/27 is incorrect as it represents the result of dividing 51 by 27, not 52 by 27. Options C) and D) are also incorrect as they are not the results of the division operations specified in the question. In an educational context, understanding division helps in solving real-life problems involving sharing, grouping, or finding equal parts. Being able to interpret and simplify division expressions accurately is crucial for mathematical proficiency. This question enhances students' division skills and reinforces the concept of dividing numbers to obtain quotients and remainders.
Question 3 of 5
Express 18/5 as a reduced mixed number.
Correct Answer: A
Rationale: To express 18/5 as a reduced mixed number, we need to perform long division. 18 divided by 5 equals 3 with a remainder of 3. This means that our mixed number will be 3 whole units and 3/5 of another unit. Hence, the correct answer is A) 3 3/5. Option B) 3 1/15, is incorrect because 18 cannot be evenly divided by 15 without a remainder. Option C) 3 1/18 is incorrect because 18 is the numerator, not the denominator, in the original fraction. Option D) 3 1/54 is incorrect because 54 is not a factor of 18. In an educational context, understanding how to convert improper fractions to mixed numbers is essential for working with fractions in real-life situations, such as measurements or recipes. It helps students grasp the concept of wholes and parts and builds a foundation for more advanced fraction operations. Practicing these skills through questions like this one helps reinforce the concept and improves overall math proficiency.
Question 4 of 5
Which operation should be completed first in the expression 8 + 5 * 3?
Correct Answer: A
Rationale: The correct answer is 'Multiplication.' In the expression 8 + 5 * 3, according to the order of operations (PEMDAS), multiplication should be done before addition. PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). Therefore, the multiplication operation should be completed first, making 5 * 3 equal to 15, and then the addition operation should be conducted to get the final result of 8 + 15, which equals 23. Choices B, C, and D are incorrect because in this expression, multiplication takes precedence over addition, division, and subtraction according to the order of operations.
Question 5 of 5
Express 3 5/7 as an improper fraction.
Correct Answer: A
Rationale: To convert a mixed number to an improper fraction, multiply the whole number by the denominator of the fraction, then add the numerator. In this case, 3 * 7 + 5 = 21 + 5 = 26. So, 3 5/7 as an improper fraction is 26/7. Choice B (21/7) is incorrect because it represents the original fraction 3 5/7. Choice C (22/7) is incorrect and represents a different fraction. Choice D (26/5) is incorrect and does not reflect the proper conversion of the mixed number to an improper fraction.