TEAS Exam Math Practice

Correct Answer: D

Rationale: To solve the equation 8x - 6 = 3x + 24, first, simplify both sides. Subtract 3x from both sides to get 5x - 6 = 24. Then, add 6 to both sides to get 5x = 30. Finally, divide by 5 to find x = 6. This is the correct solution as it satisfies the original equation. Choice A, B, and C are incorrect as they do not result in a true statement when substituted back into the equation.

Correct Answer: C

Rationale: To determine the correct order from least to greatest, convert all fractions to decimals: - (1/7) = 0.142857 - 0.125 - (6/9) = 0.666666 - 0.60 The correct order is 0.125, (1/7), 0.60, (6/9) because 0.125 is the smallest, followed by (1/7), then 0.60, and finally (6/9) which is equivalent to 0.666666. Other choices are incorrect because they do not follow the increasing order of magnitude. Choice A has the fractions in a different order, choice B has 0.60 in the wrong position, and choice D has the fractions in the wrong order. Therefore, choice C is the correct answer.

Correct Answer: D

Rationale: To subtract numbers in scientific notation, we need to ensure the exponents are the same. First, convert 2.98 x 10^2 to 0.298 x 10^3. Then, subtract 4.71 x 10^3 - 0.298 x 10^3 = 4.412 x 10^3. Therefore, the correct answer is D. Choices A, B, and C are incorrect as they do not reflect the correct result of the subtraction operation.

Correct Answer: B

Rationale: To simplify the expression, we follow the order of operations (PEMDAS). First, we calculate the exponents: 52(3) + 3(-2)^2 / 4 + 9 - 2(5-8) = 156 + 3(4) / 4 + 9 - 2(3) = 156 + 12 / 4 + 9 - 6. Then, we perform division and multiplication from left to right: 156 + 3 + 9 - 6 = 168. Therefore, the correct answer is 87/19. Choices A, C, and D are incorrect as they do not correctly simplify the expression following the order of operations.

Correct Answer: A

Rationale: To find the width of the field, we need to set up the equation for the area of a rectangle: Area = length x width. Given that the area is 1452 square feet, and the length is three times the width, we can write the equation as 1452 = 3x * x. Solving for x (width), x = 18 feet. Therefore, the correct answer is A: 22 feet. Option B, 44 feet, is incorrect as it is double the correct width. Option C, 242 feet, is incorrect as it does not match the calculated width. Option D, 1452 feet, is incorrect as it represents the total area of the field, not the width.