TEAS Exam Math Practice

Correct Answer: D

Rationale: To convert a decimal to a fraction, we count the number of decimal places and put the digits after the decimal over the appropriate power of 10. For 3.28, there are two decimal places, so we write it as 328/100. Simplifying gives us 41/25, which matches choice D. Choices A, B, and C are incorrect as they do not represent the value of 3.28 when converted to a fraction. Option A is equivalent to 3.28 written as 3.28/1, which is not correct. Options B and C do not represent 3.28 accurately either.

Correct Answer: D

Rationale: To determine the order from least to greatest, we need to evaluate each expression. First, calculate each expression: 2^-1 = 1/2 -(4/3) = -4/3 (-1)^3 = -1 (2/5) = 2/5 Now, compare the values: -4/3 is the smallest, followed by -1, then 2/5, and finally 1/2. Therefore, the correct order is -(4/3), (-1)^3, (2/5), 2^-1. Option D correctly lists the expressions in this order. Option A is incorrect because it has the wrong order of the expressions. Option B is incorrect as it has a different order compared to the correct one. Option C is incorrect as it also has a different order than the correct one.

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: B

Rationale: To find the total area to be painted, calculate the area of each wall in square feet and convert to square meters. Add all areas together. Then divide by 32 to get the number of gallons. For this case, the correct answer is B: 1.43 gallons. This is calculated by first finding the total area to be painted which is 15x9 + 15x9 + 12.5x9 + 12.5x9 = 337.5 square feet. Converting this to square meters gives 31.36 square meters. Dividing by 32 (the coverage per gallon) gives approximately 1.43 gallons. The other choices are incorrect because they do not reflect the accurate calculation based on the given information.