Math Practice TEAS Test

Correct Answer: C

Rationale: A rational number can be expressed as a fraction or a decimal. A fraction is a ratio of two integers, and a decimal can represent a rational number, such as 0.5 (which is 1/2). Hence, a rational number can be a fraction, decimal, or a whole number. Options A and D are incorrect because a rational number is not limited to being a whole number or cannot be a decimal. Option B is partially correct but doesn't cover the full scope of possibilities for rational numbers. Option C is the correct answer as it encompasses all the possible representations of a rational number.

Correct Answer: A

Rationale: The correct answer is A because a histogram represents continuous data with no gaps between bars, while a bar graph displays discrete data with gaps between bars. Option B is incorrect because both graphs can display frequency. Option C is incorrect as both can be used for comparison. Option D is incorrect as both can include labels.

Correct Answer: A

Rationale: The correct answer is A because in a fraction, the numerator is the number written on the top, representing the parts being considered, while the denominator is the number written on the bottom, representing the total number of equal parts the whole is divided into. Choices B, C, and D are incorrect because they do not align with the standard mathematical convention where the numerator is always placed above the denominator in a fraction representation. B, C, and D provide misleading and incorrect information regarding the position and role of the numerator and denominator in a fraction.

Correct Answer: B

Rationale: The correct answer is B: Frequency. A histogram is preferred over a bar graph when displaying frequency distribution data, as it shows the frequency of values within intervals or bins. It is used to represent continuous data and helps visualize the distribution and shape of the data. Choice A is incorrect because bar graphs are typically used for comparing different categories. Choices C and D are incorrect because percentages and proportions are more suitable for other types of graphs like pie charts or stacked bar graphs.

Correct Answer: A

Rationale: The correct answer is A. To distinguish between the three types of graphs in scatterplots, look at the patterns. Linear graphs show a straight line, quadratic graphs show a U-shape, and exponential graphs rise or fall quickly in one direction. This is because linear relationships have a constant rate of change, quadratic relationships have a squared relationship, and exponential relationships have a constant ratio of change. Choice B is incorrect as it does not accurately describe the characteristics of each graph type. Choice C is incorrect as it mentions zigzag lines for linear graphs, which is not a typical characteristic. Choice D is incorrect as it describes a W-shape for quadratic graphs, which is not accurate. Overall, choice A provides a clear and accurate description of how to distinguish between linear, quadratic, and exponential graphs in scatterplots.