what score must dwayne get on his next math test to have an overall average of at least 90
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ATI TEAS 7

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1. What score must Dwayne get on his next math test to maintain an overall average of at least 90?

Correct answer: B

Rationale: To maintain an overall average of at least 90, Dwayne must aim for a score of 90 on every test. If his current average is below 90, he needs to make up for it by scoring higher on upcoming tests. Choosing 98 ensures that his overall average remains at or above 90. Choice A (89) is below the desired average of 90, so it would not be sufficient. Choices C (95) and D (100) are higher than necessary to maintain an average of at least 90.

2. Simplify the expression 3x - 5x + 2.

Correct answer: D

Rationale: When simplifying the expression 3x - 5x + 2, start by combining like terms. -5x is subtracted from 3x to give -2x. Adding 2 at the end gives the simplified expression -2x. Therefore, the correct answer is -2x. Choice A, -2x + 2, incorrectly adds 2 at the end. Choice B, -8x, incorrectly combines the coefficients of x without considering the constant term. Choice C, 2x + 2, incorrectly adds the coefficients of x without simplifying.

3. In Mrs. McConnell's classroom, there are 5 students with hazel eyes and 2 students with green eyes out of a total of 30 students. What percentage of the students have either hazel or green eyes?

Correct answer: A

Rationale: To calculate the percentage of students with either hazel or green eyes, add the number of students with hazel and green eyes (5 + 2 = 7) and divide by the total number of students (30): 7 ÷ 30 ≈ 0.23 or 23%. The correct answer is A, 0.23, which represents 23% of the total students. Choice B, 0.3, is incorrect as it corresponds to 30%, which is higher than the total number of students. Choice C, 0.47, is incorrect as it represents 47%, which is also higher than the total number of students. Choice D, 0.77, is incorrect as it corresponds to 77%, which is much higher than the total number of students.

4. Divide 4/3 by 9/13 and reduce the fraction.

Correct answer: A

Rationale: To divide fractions, you multiply the first fraction by the reciprocal of the second fraction. So, (4/3) ÷ (9/13) = (4/3) * (13/9) = 52/27. This fraction is already in its reduced form, making choice A the correct answer. Choices B, C, and D are incorrect as they do not represent the correct result of dividing the fractions 4/3 by 9/13.

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

Correct answer: A

Rationale: The equation that represents the relationship is x + 4 = 5\6y - 2.

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