solve for x 42x 6 10x 6
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ATI TEAS 7

ATI TEAS Math Practice Test

1. Solve for x: 4(2x - 6) = 10x - 6

Correct answer: C

Rationale: To solve the equation 4(2x - 6) = 10x - 6, first distribute 4 into the parentheses: 8x - 24 = 10x - 6. Next, simplify the equation by rearranging terms: 8x - 10x = -6 + 24, which gives -2x = 18. Solving for x by dividing by -2 on both sides gives x = -9. Therefore, the correct answer is x = -9. Choice A (x = 5), Choice B (x = -7), and Choice D (x = 10) are incorrect solutions obtained by errors in solving the equation.

2. Which of the following compound sentences is punctuated correctly?

Correct answer: D

Rationale: Choice D is the correct answer because it correctly punctuates the compound sentence with a semicolon separating the two independent clauses. The use of a semicolon is appropriate when two closely related independent clauses are joined without a coordinating conjunction. Choices A, B, and C have incorrect punctuation or conjunction usage. Choice A incorrectly uses a comma before 'and,' while Choice B uses 'though' which is not the best conjunction to join the two clauses. Choice C also lacks appropriate punctuation to separate the two independent clauses.

3. What is the process by which cells respond to external stimuli, such as chemicals, temperature, or touch, called?

Correct answer: A

Rationale: Signal transduction is the correct answer. It is the process by which cells respond to external stimuli like chemicals, temperature, or touch. When a cell receives a signal from its environment, it triggers a series of molecular events leading to a specific cellular response. This process involves transmitting signals from the cell surface to the interior, triggering various cellular activities. Homeostasis, on the other hand, refers to an organism's ability to maintain internal stability in response to external changes. Adaptation involves an organism adjusting to its environment over time through genetic changes or behavioral modifications, which is distinct from the process of cells responding to immediate external stimuli. Metabolism, although essential for cellular functions, is not specifically about cells responding to external stimuli but rather the biochemical processes involved in energy production, storage, and utilization within cells.

4. What is the equivalent weight in pounds for 45 kg? (1 kg = 2.2 lbs)

Correct answer: C

Rationale: To convert kilograms to pounds, multiply the weight in kilograms by the conversion factor 2.2 (1 kg = 2.2 lbs). Therefore, 45 kg * 2.2 lbs/kg = 99 lbs. Choice A is incorrect because it is a miscalculation. Choice B is incorrect as it does not reflect the correct conversion. Choice D is incorrect as it is also a miscalculation of the conversion.

5. A sandwich shop earns $4 for every sandwich (s) it sells, $2 for every drink (d), and $1 for every cookie (c). If this is all the shop sells, which of the following equations represents what the shop’s revenue (r) is over three days?

Correct answer: A

Rationale: Let s be the number of sandwiches sold. Each sandwich earns $4, so selling s sandwiches at $4 each results in revenue of $4s. Similarly, d drinks at $2 each give $2d of income, and cookies bring in $1c. Summing these values gives total revenue = 4s + 2d + 1c. Therefore, option A, r = 4s + 2d + 1c, correctly represents the shop's revenue. Choices B, C, and D are incorrect because they incorrectly multiply the prices of each item by more than one day's sales, which would overstate the total revenue for a three-day period.

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