3x 212 solve the equation above for x which of the following is the correct answer
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ATI TEAS 7

TEAS Practice Test Math

1. 3(x-2)=12. Solve the equation above for x. Which of the following is the correct answer?

Correct answer: A

Rationale: To solve the equation 3(x-2)=12, first distribute the 3: 3x - 6 = 12. Next, isolate x by adding 6 to both sides: 3x = 18. Finally, divide by 3 to find x: x = 6. Therefore, the correct answer is A (6). Choice B (-2) is incorrect as it does not satisfy the equation. Choice C (-4) is also incorrect as it does not satisfy the equation. Choice D (2) is incorrect as it does not satisfy the equation either.

2. Simplify the following expression: 7 + 16 - (5 + 6 × 3) - 10 × 2

Correct answer: B

Rationale: Start by solving the multiplication and parentheses. The answer is -20.

3. A student scores 85% on a test with 50 questions. How many questions did the student answer correctly?

Correct answer: C

Rationale: To find the number of questions answered correctly, you multiply the percentage (85%) by the total number of questions (50). 85% of 50 questions is 0.85 * 50 = 43 questions answered correctly. Therefore, the correct answer is 43 questions. Choices A, B, and D are incorrect as they do not reflect the accurate calculation based on the given information.

4. The value of 6 x 12 is the same as:

Correct answer: A

Rationale: To find the value of 6 x 12, we multiply 6 by 12, which equals 72. A: 2 x 4 x 4 x 2 = 32 B: 7 x 4 x 3 = 84 C: 6 x 6 x 3 = 108 D: 3 x 3 x 4 x 2 = 72 Therefore, the correct answer is A, as the product of 2 x 4 x 4 x 2 equals 32, which is the same as 6 x 12.

5. Simplify the following expression: 5/9 × 15/36

Correct answer: A

Rationale: To simplify the given expression, multiply the numerators together and the denominators together. 5/9 × 15/36 = (5 × 15) / (9 × 36) = 75 / 324. Now, simplify the resulting fraction by finding the greatest common divisor (GCD) of 75 and 324, which is 3. Divide both the numerator and denominator by 3 to get the simplified fraction: 75 ÷ 3 / 324 ÷ 3 = 25 / 108. Therefore, the simplified form of 5/9 × 15/36 is 25/108, which is equivalent to 5/36. Choice A, 5/36, is the correct answer. Choice B, 8/27, is incorrect as it does not match the simplified form of the expression. Choice C, 10/17, is unrelated and does not result from the given multiplication. Choice D, 15/27, does not correspond to the simplification of the given expression.

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