TEAS Math Questions

Correct Answer: A

Rationale: The correct answer is A: 1,050 people. To calculate the population next year, we need to add the 5% increase to the current population. 5% of 1,000 is 50, so the population will increase by 50 people. Therefore, the population next year will be 1,000 + 50 = 1,050 people. Choice B (1,200 people) is incorrect because it assumes a 20% increase instead of 5%. Choice C (1,100 people) is incorrect because it does not consider the 5% increase. Choice D (1,300 people) is incorrect as it implies a 30% increase, which is not accurate based on the given 5% annual increase.

Correct Answer: B

Rationale: To calculate the probability of consecutively pulling 2 orange blocks without replacement, we first find the probability of pulling 1 orange block, then the probability of pulling another orange block. 1. Probability of first orange block = 3/12 = 1/4 2. After removing 1 orange block, there are 2 orange blocks left out of 11 total blocks. 3. Probability of second orange block = 2/11 4. Multiply the probabilities: (1/4) * (2/11) = 2/44 = 1/22 5. Simplify the fraction: 1/22 = 2/44 = 3/66 = 3/55 Therefore, the correct answer is B (3/55) as it represents the probability of consecutively pulling two more orange blocks without replacement. Other choices are incorrect as they do not follow the correct calculation steps.

Correct Answer: B

Rationale: Veronica's total cost is the sum of the base price, surround sound system, and maintenance package: $40,210 + $3,015 + $5,218 = $48,443. This is the correct answer (B) as it calculates the total price accurately. Option A is incorrect as it only includes the base price. Option C is incorrect as it does not include the additional costs. Option D is incorrect as it only includes the base price without the additional expenses.

Correct Answer: B

Rationale: To calculate the number of people who voted, we multiply the population by the percentage who voted: 51,623 * 0.095 = 4,904.785. Since we can't have a fraction of a person, we round to the nearest whole number, which is 5,000. Explanation: A: 3,000 is too low as it doesn't account for the entire 9.5%. B: Correct. 5,000 is the closest estimate after rounding. C: 7,000 is too high as it overestimates the number of voters. D: 10,000 is too high and doesn't align with the calculated value.

Correct Answer: B

Rationale: To solve the equation x + x * x - x / x, we follow the order of operations (PEMDAS/BODMAS). First, we calculate x * x = x^2, then x / x = 1. So the equation becomes x + x^2 - 1. Simplifying further, we get x^2 + x - 1. This is a quadratic equation. To find the value of x that satisfies this equation, we can factor it or use the quadratic formula. The correct answer is B: 3, as x = 3 satisfies the equation x^2 + x - 1 = 3^2 + 3 - 1 = 9 + 3 - 1 = 11, which matches the left side of the equation. Summary: A: 5 - Incorrect. The value of x that satisfies the equation is not 5. C: 2 - Incorrect. The value of x that satisfies the equation is