TEAS Practice Test Math

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: A

Rationale: To simplify 3.45 * 0.53, multiply the numbers together: 3.45 * 0.53 = 1.8285 (Answer A). This is correct because when multiplying decimals, you multiply as if they were whole numbers and then place the decimal point in the answer based on the total number of decimal places in the factors. Summary of other choices: B: 18.285 - Incorrect as it is the result of adding the two numbers. C: 0.18285 - Incorrect as it is the result of placing the decimal point incorrectly. D: 182.85 - Incorrect as it is the result of ignoring the decimal places in the factors.

Correct Answer: A

Rationale: To find the expression for the length of the rectangle in terms of x, we first note that the length is six less than two times the width. Therefore, the expression for the length would be 2x - 6. This is because the length is equal to 2 times the width (2x) minus 6. Therefore, option A (2x - 6) is the correct answer. Option B (6-2x) is incorrect because it represents the width minus 2 times the width, which is not the correct relationship. Option C (6x-2) is incorrect because it represents 6 times the width minus 2, which is not the correct relationship. Option D (3x-4) is incorrect because it represents 3 times the width minus 4, which does not match the given relationship between the length and the width.

Correct Answer: A

Rationale: To solve the equation 3(x-2) = 12 for x: 1. Distribute the 3 to both terms inside the parentheses: 3x - 6 = 12 2. Add 6 to both sides: 3x = 18 3. Divide by 3: x = 6 Choice A (6) is correct. Choice B (-2) results in x = 4, not 6. Choice C (-4) results in x = 2, not 6. Choice D (2) results in x = 8, not 6.

Correct Answer: C

Rationale: To find the product of 1.6 and 0.93, we multiply the two numbers as usual: 1.6 * 0.93 = 1.488. The correct decimal placement for the product is C (1.488) because when multiplying decimal numbers, the total number of decimal places in the product should be equal to the sum of decimal places in the numbers being multiplied. In this case, 1.6 has one decimal place and 0.93 has two decimal places, totaling three decimal places. Therefore, the correct answer is 1.488, as it has three decimal places. Explanation for other choices: A: 14.88 - Incorrect as it has an extra decimal place. B: 0.1488 - Incorrect as it has one less decimal place. D: 0.001488 - Incorrect as it has more decimal places than the product of 1.6 * 0.93.