TEAS 7 Math Practice Test

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: 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: A

Rationale: To calculate the percent increase, subtract the initial value from the final value (2219 - 1432 = 787). Then, divide the increase by the initial value and multiply by 100 to get the percentage increase [(787/1432) x 100 ≈ 55%]. Therefore, choice A (55%) is correct. Choice B (36%) is incorrect because it underestimates the actual increase. Choice C (64%) and choice D (42%) are also incorrect as they overestimate the 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 simplify the expression, we follow the order of operations (PEMDAS). Step 1: 7 + 16 = 23 Step 2: 6 * 3 = 18, then (5 + 18) = 23 Step 3: Now, the expression becomes 23 - 23 - 10 * 2 Step 4: 23 - 23 = 0, and 10 * 2 = 20 Step 5: Finally, 0 - 20 = -20 Therefore, the correct answer is B (-20). Explanation for other choices: A: -42 - Incorrect because it doesn't follow the correct order of operations. C: 23 - Incorrect, as it doesn't account for all the operations in the expression. D: 20 - Incorrect, as it doesn't consider the subtraction and multiplication operations properly.