TEAS Practice Test Math

Correct Answer: C

Rationale: Step-by-step rationale: 1. Jacob spends 87% of $100 = $87, leaving her with $13. 2. She invests $13 and earns a profit of 75%. 3. 75% of $13 = $9.75 profit. 4. Adding the profit to the remaining amount: $13 + $9.75 = $22.75. Therefore, Jacob now has $22.75. Summary of other choices: A: $13.00 - Incorrect, as this is the remaining amount before the investment. B: $87.00 - Incorrect, this is the amount Jacob initially spent. D: $9.75 - Incorrect, this is the profit earned from the investment, not the total amount Jacob now has.

Correct Answer: A

Rationale: To calculate the number of months, we first subtract the down payment from the total cost to get the remaining balance: $1570 - $400 = $1170. Then, we divide the remaining balance by the monthly payment to determine the number of months: $1170 / $100 = 11.7 months. Since we cannot have partial months in this case, we round up to the nearest whole number, giving us 12 months. Therefore, the correct answer is A (12 months). Choice B (16 months) is too high, Choices C (15 months) and D (11 months) are too low based on the calculations.

Correct Answer: B

Rationale: To find the ratio of girls to boys, we divide the number of girls by the number of boys. In this case, there are 26 girls and 22 boys. So, the ratio of girls to boys is 26:22, which simplifies to 13:11. Therefore, choice B (13:11) is the correct answer. Choice A (26:11) is incorrect because it incorrectly combines the total number of girls with the number of boys. Choice C (13:22) is incorrect because it reverses the order of girls and boys in the ratio. Choice D (11:13) is incorrect because it flips the ratio of girls to boys.

Correct Answer: C

Rationale: To find the amount of sugar needed for 0.625 of the recipe, you multiply 0.375 (original amount) by 0.625 (desired portion). 0.375 x 0.625 = 0.234375 cups. Therefore, you should use 0.234375 cups of sugar. Choice A is incorrect as it adds the original and desired portions. Choice B is close but not the correct calculation. Choice D is way off, likely a miscalculation.

Correct Answer: C

Rationale: The correct answer is C: 1.2 hours. To find the combined time it takes for both A and B to mow the lawn together, we use the formula: 1/(1/A + 1/B). Substituting A=2 and B=3 into the formula, we get 1/(1/2 + 1/3) = 1/(5/6) = 6/5 = 1.2 hours. This is the time it would take for both A and B to mow the lawn together. Summary of other choices: A: 5 hours - Incorrect. This answer is obtained by simply adding the individual times of A and B, which is not the correct method for combining their work rates. B: 2.5 hours - Incorrect. This choice is halfway between the individual times of A and B, which is not the correct way to calculate the combined time. D: 1 hour - Incorrect. This choice is