simplify the following expression 7 16 5 6 3 10 2
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ATI TEAS 7

TEAS 7 Math Practice Test

1. 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.

2. A store offers a 15% discount on all items. If an item costs $100, what is the price after the discount?

Correct answer: B

Rationale: To calculate the price after the 15% discount on a $100 item, you first find 15% of $100, which is $15. Then, subtract $15 from the original price: $100 - $15 = $85. Therefore, the correct answer is $85. Choice A ($90), Choice C ($80), and Choice D ($75) are incorrect as they do not reflect the correct calculation of applying a 15% discount to the original $100 price.

3. Which of the following equations correctly models the relationship between x and y when y is three times x?

Correct answer: A

Rationale: The correct equation that models the relationship between x and y when y is three times x is y = 3x. This equation represents that y is equal to three times x. Choice B (x = 3y) incorrectly reverses the relationship, stating that x is equal to three times y. Choice C (y = x + 3) and Choice D (y = x / 3) do not correctly represent a relationship where y is three times x, making them incorrect choices.

4. A school has 15 teachers and 20 teaching assistants. They have 200 students. What is the ratio of faculty to students?

Correct answer: B

Rationale: The total number of faculty members is 15 teachers + 20 teaching assistants = 35. The ratio of faculty to students is then 35:200, which simplifies to 7:40. Further simplifying by dividing both numbers by 5 gives the ratio 4:20, which can be simplified to 4:17. Therefore, the correct ratio is 4:17. Choices A, C, and D are incorrect ratios and do not match the calculated ratio of faculty members to students in this scenario.

5. What is the value of the sum of 3/4 and 5/8?

Correct answer: D

Rationale: To find the sum of fractions, they need to have a common denominator. In this case, the common denominator is 8. So, 3/4 = 6/8. Adding 6/8 and 5/8 gives 11/8, which simplifies to 1 3/8. Therefore, the correct answer is 1 3/8, which corresponds to choice A. Choices B, C, and D are incorrect as they do not represent the correct sum of 3/4 and 5/8.

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