TEAS Math Practice Test

Correct Answer: C

Rationale: To add 7/8 and 5/8, we add the numerators: 7 + 5 = 12, keeping the denominator as 8. So, the sum is 12/8. To express it in reduced form, we divide both numerator and denominator by their greatest common divisor, which is 4. Therefore, 12/8 simplifies to 3/2, which is equivalent to 31/36. Option C (31/36) is correct. Option A (9/17) and Option D (3/5) are incorrect as they do not match the correct sum. Option B (1/3) is incorrect as it does not account for the common denominator of 8 in the addition.

Correct Answer: C

Rationale: To find the number of red cans Jessica bought, let's denote the number of red cans as 'x' and the number of blue cans as '10 - x'. The total cost equation is: 1*x + 2*(10-x) = 16. Simplify to x + 20 - 2x = 16, which gives x = 4. Therefore, Jessica bought 4 red cans. Explanation for other choices: A: 2 red cans would result in a total cost of $18, not $16. B: 3 red cans would result in a total cost of $17, not $16. D: 5 red cans would result in a total cost of $15, not $16.

Correct Answer: D

Rationale: Correct Answer: D (1 apple) Rationale: 1. Xavier starts with 20 apples. 2. He gives half to Emma, leaving him with 10 apples. 3. He gives 6 apples to Jim, leaving him with 4 apples. 4. He uses 3/4 of his remaining 4 apples for the pie, leaving him with 1 apple. Summary: - Choice A (4 apples) is incorrect because Xavier uses 3/4 of his remaining apples for the pie. - Choice B (6 apples) is incorrect because Xavier gives 6 apples to Jim. - Choice C (2 apples) is incorrect because Xavier uses 3/4 of his remaining apples for the pie.

Correct Answer: A

Rationale: The mode is the number that appears most frequently in a set. In this case, the number 4 appears twice, which is more frequent than any other number in the set. Therefore, the mode of {4, 4, 5, 7, 8} is 4. Choice B (5), C (7), and D (8) are incorrect because each of these numbers appears only once in the set, making them less frequent than 4. The mode must be the number that appears most often in the set, which is 4.

Correct Answer: A

Rationale: Step-by-step rationale: 1. Convert 1/3 to a decimal: 1 divided by 3 equals 0.3333... 2. Compare 0.5 to 0.3333...; it is evident that 0.5 is larger. 3. Therefore, 0.5 is larger than 1/3. Summary: Choice A is correct as 0.5 is greater than 1/3. Choice B is incorrect as 1/3 is smaller. Choice C is incorrect as they are not equal. Choice D is incorrect as a comparison can be made.