TEAS Test Math Prep

Correct Answer: C

Rationale: To solve for b, we need to isolate b on one side. First, combine like terms: 5b - 2b = 17 + 4. This simplifies to 3b = 21. Then, divide both sides by 3 to find b = 7. Choice C is correct. Choices A, B, and D are incorrect as they do not match the correct calculation result.

Correct Answer: A

Rationale: The correct answer is A: Positive. A line traveling from bottom-left to upper-right on a graph indicates a positive relationship between the predictor and dependent variable. As the predictor increases, the dependent variable also increases. This is because the slope of the line is positive, showing a direct relationship between the two variables. In contrast, a negative relationship (choice B) would be indicated by a line traveling from top-left to bottom-right, where the dependent variable decreases as the predictor increases. Choices C (Exponential) and D (Logarithmic) refer to specific nonlinear relationships, which are not indicated by a line with a positive slope.

Correct Answer: B

Rationale: To find the weight difference in kilograms, we subtract Alan's goal weight (175 lbs) from his current weight (200 lbs): 200 lbs - 175 lbs = 25 lbs Next, we convert pounds to kilograms using the conversion factor 0.45 kg per 1 lb: 25 lbs x 0.45 kg/lb = 11.25 kg Therefore, the correct answer is B (11.25 kg). Other choices are incorrect because they do not properly calculate the weight difference in kilograms based on the given conversion factor.

Correct Answer: A

Rationale: To convert miles to kilometers, we use the conversion factor 1 mile = 1.60934 km. Therefore, to convert 67 miles to kilometers, we multiply 67 miles by 1.60934 km/mile = 107.67178 km. Rounding to three significant digits gives us 107 km, which is the correct answer. Choice B (106 km) is incorrect as it does not account for the correct rounding of the conversion. Choice C (33 km) is incorrect as it significantly underestimates the conversion. Choice D (85 km) is also incorrect as it does not reflect the accurate conversion from miles to kilometers.

Correct Answer: A

Rationale: To solve this question, we first need to find the ratio of girls to boys, which is 3:2. Then, we can set up a proportion to determine the number of girls. Since there are 3 girls for every 2 boys, the total ratio is 3+2=5 parts. To find the number of girls, we divide the total number of students by the total parts (650/5=130). Finally, we multiply the number of parts allocated to girls by the ratio of girls in the total parts (130*3=390). Therefore, there are 390 girls in Jim's school. Choice A (260) is incorrect as it does not consider the correct ratio. Choice B (130) is incorrect as it calculates the total parts instead of the number of girls directly. Choice C (65) is incorrect as it only considers one part of the ratio. Choice D (390) is incorrect as it miscalculates the number of boys, not