ATI TEAS 7
TEAS Practice Math Test Questions
Question 1 of 5
Using the chart below, which equation describes the relationship between x and y?
Correct Answer: B
Rationale: The correct answer is B: y = 3x. By examining the chart, we see that y values are three times the x values. This relationship is represented by y = 3x. Choice A (x = 3y) reverses the relationship, choice C (y = 1/3x) states that y values are one-third of x values, and choice D (x/y = 3) represents x divided by y being equal to 3, which is not consistent with the given data in the chart.
Question 2 of 5
Solve for x: 3(x - 1) = 2(3x - 9)
Correct Answer: D
Rationale: To solve the equation 3(x - 1) = 2(3x - 9), first distribute the terms: 3x - 3 = 6x - 18. Then, isolate x by moving the variables to one side: 3x - 6x = -18 + 3. Simplify to get -3x = -15, and divide by -3 to find x = 5. Choice D is correct as it correctly solves the equation step by step. Choices A, B, and C are incorrect because they do not yield the correct solution when the equation is solved.
Question 3 of 5
How many cubic inches of water could the aquarium hold if it were filled completely? (Dimensions: 30 in 10 in 12 in)
Correct Answer: A
Rationale: The correct answer is A: 3600 cubic inches. To calculate the volume of the aquarium, you multiply the length, width, and height: 30 x 10 x 12 = 3600 cubic inches. This is the total capacity of the aquarium when filled completely. Choice B (52 cubic inches) is too small as it doesn't consider the full dimensions of the aquarium. Choice C (312 cubic inches) and Choice D (1144 cubic inches) are incorrect because they do not accurately calculate the volume based on the given dimensions.
Question 4 of 5
Jeremy put a heavy chalk mark on the tire of his bicycle. His bike tire is 27 inches in diameter. When he rolled the bike, the chalk left marks on the sidewalk. Which expression can be used to best determine the distance, in inches, the bike rolled from the first mark to the fourth mark?
Correct Answer: A
Rationale: Failed to generate a rationale after 5 retries.
Question 5 of 5
Which of the following algebraic equations correctly represents the sentence 'Four more than a number, x, is 2 less than 1/3 of another number, y'?
Correct Answer: A
Rationale: The correct answer is A: x + 4 = (1/3)y - 2. To break down the equation: 1. "Four more than a number, x" can be represented as x + 4. 2. "2 less than 1/3 of another number, y" can be represented as (1/3)y - 2. 3. Combining the two expressions gives x + 4 = (1/3)y - 2, which correctly represents the given sentence. Other choices are incorrect because they do not accurately capture the relationship between x and y as described in the sentence. Choice B incorrectly sets 4x equal to 2 minus 1/3 of y, while choices C and D have incorrect signs and placements of terms.
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