Four more than a number is 2 less than 5\6 of another number. Which equation represents this?

Correct Answer: A

Rationale: In this math problem, the correct equation is A) x + 4 = 5/6y - 2. To understand why this is the right answer, let's break down the problem. The statement "Four more than a number is 2 less than 5/6 of another number" translates to x + 4 = 5/6y - 2. Now, let's analyze why the other options are incorrect: B) x + 4 = 2 - 5/6y: This equation does not correctly represent the relationship described in the problem. C) 4 + x = 5/6y + 2: This equation incorrectly rearranges the terms and does not match the original statement. D) x + 4 = 5/6y - 2: This equation incorrectly places the constant term before the variable term on the right side of the equation, leading to an incorrect representation. Educationally, understanding how to translate word problems into equations is crucial in math. By dissecting the problem statement and identifying key relationships, students can accurately represent the information given. This question also tests students' ability to manipulate algebraic expressions and solve equations, skills essential for success in higher-level math and standardized tests like the TEAS.

Correct Answer: B

Rationale: The correct answer is B. In statistical terms, a positively skewed distribution means that the tail on the right side of the distribution is longer or fatter than the left side, indicating more high values. Therefore, Group A is positively skewed. Conversely, an approximately normal distribution, also known as a bell curve, is symmetrical with no skewness. Hence, Group B is normal. Choices A, C, and D are incorrect because they do not accurately describe the skewness of Group A and the normal distribution of Group B as depicted in a double bar graph.

Correct Answer: B

Rationale: The correct answer is B (0.23). To find the percentage of funds donated for construction costs, we need to consider the given percentage, which is 23%. In decimal form, 23% is represented as 0.23. Choices A, C, and D are incorrect because they do not match the correct decimal equivalent of 23%, which is 0.23. It's essential to convert percentages to decimal form accurately to calculate the correct percentage of funds allocated for a specific purpose.

Correct Answer: C

Rationale: To compare the fractions, it is beneficial to convert them to decimals or find a common denominator. When converted to decimals: 1/2 = 0.50, 5/8 = 0.625, 2/3 ≈ 0.666, and 7/9 ≈ 0.778. Therefore, the correct order from least to greatest is 1/2, 5/8, 2/3, 7/9. Choice A is incorrect because it places 7/9 first, which is the greatest fraction. Choice B is incorrect as it incorrectly lists the fractions. Choice D is incorrect as it starts with 7/9, which is the largest fraction instead of the smallest.

Correct Answer: B

Rationale: In this math expression, the correct answer is B) -20. To simplify the expression, we follow the order of operations (PEMDAS/BODMAS). First, we perform the multiplication and division operations from left to right. So, 7 * 3 = 21 and 4 * 2 = 8. Then, we perform the addition and subtraction operations from left to right. Thus, 6 + 21 - 8 = 19 - 8 = 11. However, there is a negative sign in front of the expression, so the final result is -11, making option B correct. Option A) -42 is incorrect because the calculation was not done correctly, leading to the wrong answer. Option C) 23 is incorrect as it seems to be a result of adding all the numbers together without following the correct order of operations. Option D) 20 is incorrect as it does not account for the negative sign in front of the expression. Educationally, this question reinforces the importance of following the order of operations to simplify mathematical expressions accurately. It highlights the significance of performing multiplication and division before addition and subtraction to obtain the correct solution. Understanding and applying PEMDAS/BODMAS rules are fundamental skills in mathematics that students need to master to solve problems correctly.