TEAS Exam Math Practice

Correct Answer: D

Rationale: The total bill includes the original cost of dinner and the tip. To find the tip amount, we calculate 20% of $48.30, which is $9.66. Adding this to the original bill gives $48.30 + $9.66 = $57.96. Therefore, the correct answer is D. Option A is incorrect as it only represents the tip amount. Option B is incorrect as it is the original bill amount without the tip. Option C is incorrect as it is the same as the original bill without the tip.

Correct Answer: C

Rationale: To find the perimeter of the square, we first need to find the side length. Since the area of a square is side length squared (5625 = side length x side length), the side length is √5625 = 75 feet. The perimeter of a square is 4 times the side length, so 4 x 75 = 300 feet. Therefore, Melissa needs 300 feet of fencing. Summary: A) 75 feet - Incorrect. This is the side length, not the perimeter. B) 150 feet - Incorrect. This is half the perimeter. C) 300 feet - Correct. The perimeter of the square. D) 5,625 feet - Incorrect. This is the total area, not the perimeter.

Correct Answer: A

Rationale: To find the diameter of a circle from its circumference, we use the formula: Diameter = Circumference / π. Given the circumference is 49 feet, we can calculate the diameter by dividing 49 by π (approximately 3.14), resulting in 15.6 feet, which is choice A. Option B, 17.8 feet, is incorrect as it does not match the calculation. Option C, 49 feet, is the circumference, not the diameter. Option D, 153.9 feet, is incorrect as it is not the result of dividing the circumference by π. Therefore, choice A is the correct answer based on the formula for finding the diameter of a circle.

Correct Answer: C

Rationale: To find the y-intercept, set x=0 in the equation 7y - 42x + 7 = 0: 7y - 42(0) + 7 = 0 7y + 7 = 0 7y = -7 y = -1 Thus, the y-intercept is (0, -1). Summary: A: Incorrect - The x-coordinate is not 1/6. B: Incorrect - The x-coordinate is not 6. C: Correct - The y-intercept is (0, -1). D: Incorrect - The x-coordinate is not -1.

Correct Answer: D

Rationale: To solve the expression, we follow the order of operations (PEMDAS). First, we evaluate the parentheses: 3 - 4 = -1. Then, we multiply 7 by -1 to get -7. Next, we subtract -7 from 102 to get 109. Finally, subtract 25 from 109 to get the correct answer of 84 (D). Choices A, B, and C are incorrect because they do not follow the correct order of operations or make calculation errors.