TEAS Math Practice Test

TEAS Math Practice Test Related

Review TEAS Math Practice Test related questions and content

What is the domain for the function y = 1/x?

  • A. All real numbers except 0
  • B. x > 0
  • C. x = 0
  • D. x = 1
Correct Answer: A

Rationale: The domain of a function consists of all possible input values that produce a valid output. In the case of y = 1/x, the function is undefined when x = 0 because division by zero is not defined in mathematics. Therefore, the correct domain for y = 1/x is all real numbers except 0 (Choice A). Choice B, x > 0, is incorrect because it excludes the value x = 0. Choice C, x = 0, is also incorrect as x = 0 is not a valid part of the domain due to the function being undefined at this point. Choice D, x = 1, is unrelated to the domain of the function and does not represent the set of valid input values for y = 1/x.

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Divide 52 by 27 and 51 by 27 and simplify.

  • A. 52/27
  • B. 51/27
  • C. 52/29
  • D. 51/29
Correct Answer: A

Rationale: To divide 52 by 27 and 51 by 27, you get 52/27 and 51/27, respectively. When simplified, 52/27 is the correct answer. The other choices, 51/27, 52/29, and 51/29, are incorrect because they do not reflect the correct result of dividing the given numbers.

Which of the following equations does not represent a function?

  • A. y = x^2
  • B. y = sqrt(x)
  • C. x = y^2
  • D. y = 2x + 1
Correct Answer: C

Rationale: An equation represents a function if each input (x-value) corresponds to exactly one output (y-value). In the equation x = y^2, for a single x-value, there are two possible y-values (positive and negative square root), violating the definition of a function. This violates the vertical line test, where a vertical line intersects the graph in more than one point for non-functions. Choices A, B, and D all pass the vertical line test and represent functions, making them incorrect answers.

What are all the factors of 12?

  • A. 12, 24, 36
  • B. 1, 2, 4, 6, 12
  • C. 12, 24, 36, 48
  • D. 1, 2, 3, 4, 6, 12
Correct Answer: D

Rationale: The factors of 12 are numbers that divide evenly into 12 without leaving a remainder. The correct factors of 12 are 1, 2, 3, 4, 6, and 12. Choice A (12, 24, 36) is incorrect as only 12 is a factor of 12. Choice B (1, 2, 4, 6, 12) includes all the correct factors of 12. Choice C (12, 24, 36, 48) is incorrect as 24, 36, and 48 are not factors of 12.

What is 1.25 as a fraction?

  • A. 1 1/4
  • B. 5/4
  • C. 4/5
  • D. 25/20
Correct Answer: B

Rationale: To convert a decimal to a fraction, we note that 1.25 can be expressed as 1 + 0.25. Since 0.25 is equivalent to 25/100 or 1/4, we add 1 whole to 1/4 to get 1 1/4, which simplifies to 5/4. Therefore, 1.25 as a fraction is 5/4. Choice A (1 1/4) is the mixed number form of 5/4. Choice C (4/5) and Choice D (25/20) are incorrect fractions that do not represent 1.25.

Shawna buys 5 gallons of paint. If she uses 2/5 of it on the first day, how much paint does she have left?

  • A. 3 gallons
  • B. 2 gallons
  • C. 1 gallon
  • D. 0.5 gallons
Correct Answer: A

Rationale: To find out how much paint Shawna uses on the first day, calculate 2/5 * 5 = 2 gallons. Subtracting the amount used from the total amount gives us 5 - 2 = 3 gallons remaining. Therefore, Shawna has 3 gallons of paint left after using 2 gallons on the first day. Choice A is correct. Choices B, C, and D are incorrect because she has more paint left than the options presented.

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