ATI TEAS Math Practice Test

Correct Answer: C

Rationale: To solve the equation 4(2x - 6) = 10x - 6, first distribute 4 to get 8x - 24 = 10x - 6. Next, rearrange the terms to isolate x. Subtract 8x from both sides to get -24 = 2x - 6. Add 6 to both sides to get -18 = 2x. Finally, divide by 2 to solve for x, giving x = -9. Choice A is incorrect because x is not equal to 5, choice B is incorrect because x is not equal to -7, and choice D is incorrect because x is not equal to 10.

Correct Answer: D

Rationale: To find the possible costs, we divide the total amount spent by the number of packages: $16/4 packages = $4 per package. Since Hannah spends at least $16, the cost per package must be less than or equal to $4. Therefore, the correct inequality is 16 ≤ 4p (Option D). The other choices are incorrect because they do not accurately represent the relationship between the total spending and the number of packages purchased.

Correct Answer: A

Rationale: Correct Answer: A Rationale: 1. The total cost is directly proportional to the number of hours rented. 2. The cost per hour is $3.60, so multiplying the number of hours (h) by the cost per hour will give the total cost. 3. Therefore, the equation C = 3.60h correctly represents this relationship. Summary: B: Incorrect, as it incorrectly adds the number of hours to the cost per hour. C: Incorrect, as it unnecessarily adds a fixed cost of $10.80 to the total cost equation. D: Incorrect, as it incorrectly assumes a fixed cost per hour of $10.80.

Correct Answer: C

Rationale: To find the total amount contributed, add the amounts given by each roommate: $12.03 + $11.96 + $12.06 = $36.05. Since we are estimating, we can round the total to $36. Therefore, the correct answer is C: $36. Choice A: $34 is incorrect because the total amount is more than $34. Choice B: $35 is incorrect because the total amount is more than $35. Choice D: $37 is incorrect because the total amount is less than $37.

Correct Answer: C

Rationale: To find the number of data analysis problems, first, determine the total ratio parts: 4 + 2 = 6. Then, calculate the number of parts for algebra problems: 2/6 * 18 = 6. Finally, find the number of data analysis problems: 4/6 * 18 = 12. Therefore, the correct answer is C (36). Option A (24) is incorrect as it miscalculates the ratio. Option B (28) and Option D (38) do not consider the given ratio and total number of algebra problems.