TEAS 7 Math Practice Test

Correct Answer: C

Rationale: To solve the equation 3(x + 4) = 18 for x, first distribute the 3: 3x + 12 = 18. Then, isolate x by subtracting 12 from both sides: 3x = 6. Finally, divide by 3 to find x = 2. Therefore, the correct answer is x = 6. Choice A is incorrect because x = 2, not 6. Choice B is incorrect because x = 4, not 6. Choice D is incorrect because x = 8, not 6.

Correct Answer: D

Rationale: To calculate the increased dosage, we first find 30% of the current dosage: 270 mg x 0.30 = 81 mg. Then, we add this to the current dosage: 270 mg + 81 mg = 351 mg. Therefore, the correct answer is D. Choice A is incorrect as it is less than the current dosage. Choice B is incorrect as it does not account for the increase. Choice C is incorrect as it does not include the correct percentage increase.

Correct Answer: A

Rationale: To find the combinations Tom can purchase, you need to determine the total cost of ink cartridges and paper. Let c be the number of cartridges and p be the number of reams. The total cost is 30c + 5p. Since Tom has $100, the inequality is 30c + 5p ≤ 100. This is because the total cost should not exceed $100. Therefore, choice A is correct. Choice B is incorrect because it implies Tom can only spend exactly $100, which restricts his options. Choice C is incorrect as it states the total cost must be more than $100, which goes against the budget constraint. Choice D is incorrect as it allows for the total cost to be less than $100, which is not a valid option given Tom's budget.

Correct Answer: B

Rationale: To determine the order of groups from smallest to largest, we need to compare the fractions given for each group. Given that 4/15 < 2/5 < 1/3: 1. Group Alpha (4/15) < Group Beta (2/5) < Group Gamma (1/3) Thus, the correct order is Group Alpha, Group Gamma, Group Beta (B). The rationale is based on comparing the fractions numerically to determine the relative sizes of the groups. The other choices are incorrect because they do not follow the order of fractions provided in the question, leading to incorrect group size comparisons.

Correct Answer: C

Rationale: To solve the equation 3(x + 4) = 18 for x, first distribute the 3: 3x + 12 = 18. Then, isolate x by subtracting 12 from both sides: 3x = 6. Finally, divide by 3 to find x = 2. Therefore, the correct answer is x = 6. Choice A is incorrect because x = 2, not 6. Choice B is incorrect because x = 4, not 6. Choice D is incorrect because x = 8, not 6.