Math Practice TEAS Test

Correct Answer: A

Rationale: The correct answer is A. In direct proportion, both quantities increase or decrease together. This means as one quantity increases, the other also increases by the same factor, and vice versa. This relationship is represented by a straight line passing through the origin in a graph. Choice B is incorrect because in direct proportion, both quantities do not decrease together; they either both increase or both decrease. Choice C is incorrect because in direct proportion, both quantities do not stay the same while the other increases; they both change together. Choice D is incorrect because in direct proportion, one quantity does not increase while the other decreases; they both increase or decrease together.

Correct Answer: B

Rationale: To simplify the expression, we follow the order of operations (PEMDAS/BODMAS). First, we calculate the multiplication and division from left to right: 6 + 7 = 13, 13 - 4 = 9, 9 * 2 = 18. So, the correct answer is 18. Choice A is incorrect because it is the result of multiplying all the numbers together. Choice C is incorrect as it is the result of adding all the numbers together. Choice D is incorrect as it is the result of adding the first two numbers and then multiplying by the last two numbers.

Correct Answer: B

Rationale: To calculate the number of tanks needed, divide total miles by miles per gallon: 1,800 miles / 30 mpg = 60 gallons. Then, divide total gallons by tank capacity: 60 gallons / 12 gallons = 5 tanks. Therefore, Robert will need 5 tanks of gas for the trip. Summary: - Choice A (4 tanks) is incorrect because the correct calculation shows 5 tanks are needed. - Choice C (6 tanks) is incorrect as it overestimates the number of tanks required. - Choice D (7 tanks) is incorrect as it also overestimates the number of tanks needed based on the given information.

Correct Answer: A

Rationale: To solve for x in the equation x + 5 = x - 3, we need to isolate x. Subtract x from both sides to get 5 = -3. This is not possible, so the equation has no solution. Therefore, the correct choice is A: x = -5. This is because when x = -5, -5 + 5 = -5 - 3 simplifies to 0 = -8, which is false. Choices B, C, and D are incorrect because they do not satisfy the original equation when substituted back in.

Correct Answer: B

Rationale: To convert liters to quarts, we use the conversion factor 1 liter = 1.06 quarts. Therefore, 1 liter is equal to 1.06 quarts. The correct answer is B. Choice A is incorrect as it states 1 quart is equal to 1 liter. Choice C is incorrect as it states 2 quarts are in 1 liter. Choice D is incorrect as it states 0.5 quarts are in 1 liter.