Math Practice TEAS Test

Correct Answer: A

Rationale: The correct answer is A: y = 3x. To find the relationship between x and y, we can observe that y is always 3 times the value of x in each row. For example, when x = 2, y = 6 (6 = 3 * 2). This pattern holds true for all data points provided. Therefore, the correct equation is y = 3x. Choice B (x = 3y) is incorrect because it suggests that x is 3 times the value of y, which is not the case based on the given data. Choice C (y = x/3) is incorrect as it implies that y is one-third of x, which does not match the relationship shown in the table. Choice D (y = x + 3) is incorrect as it simply adds 3 to x to get y, which is not consistent with the provided data points.

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 determine how many questions Joshua must answer correctly, we set up the inequality: 4x > 92, where x represents the number of questions answered correctly. With 30 questions, Joshua needs more than 92 points, meaning he must score more than (30 questions * 4 points per question = 120 points). Therefore, answer B (4x > 92) is correct. Choices A, C, and D are incorrect because they do not accurately reflect the requirement of scoring more than 92 points to qualify for the scholarship.

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: A

Rationale: The correct answer is A: PEMDAS. PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction, which is the order of operations in mathematics. By following PEMDAS, you ensure the correct sequence of operations and accurate results in mathematical calculations. Using PEMDAS prevents errors and ambiguity in expressions. It is essential to always use PEMDAS to maintain consistency and accuracy in mathematical computations. Summary of other choices: B: Variables are used in algebra to represent unknown quantities, but they are not always required in all math. C: Conversion factors are used in unit conversions, but they are not universally necessary in all math situations. D: Estimation is a useful skill in math for approximating results but is not a fundamental requirement in all mathematical operations.