which of the following is the correct decimal placement for the product of 16 o93
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ATI TEAS 7

TEAS Practice Test Math

1. Which of the following is the correct decimal placement for the product of 1.6 * 0.93?

Correct answer: C

Rationale: To find the product of 1.6 * 0.93, you multiply these two numbers to get 1.488. Therefore, the correct decimal placement for the product is 1.488. Choice A, 14.88, is incorrect as it incorrectly places the decimal two spots to the right. Choice B, 0.1488, is incorrect as it incorrectly places the decimal one spot to the right. Choice D, 0.001488, is incorrect as it incorrectly places the decimal three spots to the right.

2. Simplify the following expression: 1.034 + 0.275 - 1.294

Correct answer: A

Rationale: To simplify the expression, begin by adding 1.034 and 0.275, which equals 1.309. Then, subtract 1.294 from the sum: 1.309 - 1.294 = 0.015. Therefore, the correct answer is 0.015. Choice B (0.15) is incorrect as it does not reflect the accurate calculation. Choice C (1.5) is incorrect as it is not the correct result of the expression simplification. Choice D (-0.15) is incorrect as it represents a different value than the correct outcome of the expression simplification.

3. Solve for x: 3(x + 4) = 18

Correct answer: C

Rationale: To solve the equation 3(x + 4) = 18, first distribute the 3 to both terms inside the parentheses: 3x + 12 = 18. Next, isolate the variable x by subtracting 12 from both sides: 3x = 6. Finally, divide by 3 to solve for x, giving x = 6. Choice A, x = 2, is incorrect as the correct solution is x = 6. Choices B (x = 4) and D (x = 8) are also incorrect as they do not satisfy the given equation.

4. A couple dining at a restaurant receives a bill for $28.40. They wish to leave a 10% tip. Which of the following is the estimated gratuity?

Correct answer: D

Rationale: To calculate a 10% tip on a bill of $28.40, you would first find 10% of $28.40, which is $2.84. Since you typically round up when leaving a tip, the estimated gratuity would be $3.00. Option A is incorrect as it is too high for a 10% tip. Option B is incorrect as it is too high. Option C is incorrect as it is too low for a 10% tip. Therefore, the correct answer is $3.00.

5. What is the length of the unknown leg of a right triangle that has one leg measuring 9 feet and a hypotenuse of 19 feet? (Round to the nearest tenth.)

Correct answer: A

Rationale: To find the length of the unknown leg (a) of a right triangle, use the Pythagorean theorem: a² + 9² = 19². Substitute the known values, solve for a: a² + 81 = 361. Subtract 81 from both sides to get a² = 280. Taking the square root of 280 gives a ≈ 16.7 feet. Therefore, the correct answer is 16.7 feet. Choice B (16.0 feet) is incorrect as it does not accurately round to the nearest tenth. Choice C (17.4 feet) and choice D (8.4 feet) are incorrect as they do not match the calculated value using the Pythagorean theorem.

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