what is the area of a rectangle with length 5 cm and width 4 cm
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ATI TEAS 7

TEAS Math Practice Test

1. What is the area of a rectangle with a length of 5 cm and a width of 4 cm?

Correct answer: B

Rationale: To find the area of a rectangle, you multiply its length by its width. In this case, the length is 5 cm and the width is 4 cm. So, Area = length * width = 5 cm * 4 cm = 20 cm². Therefore, the correct answer is 20 cm². Choice A (9 cm²), Choice C (10 cm²), and Choice D (25 cm²) are incorrect as they do not result from the correct calculation of multiplying the length and width of the rectangle.

2. Which of the following describes a graph that represents a proportional relationship?

Correct answer: C

Rationale: A graph that has a y-intercept of 0 indicates a proportional relationship because the starting value is 0, and no amount is added to or subtracted from the term containing the slope. In this case, choice C is correct as it has a y-intercept of 0, which aligns with the characteristics of a proportional relationship. Choices A, B, and D have non-zero y-intercepts, indicating a starting value other than 0, which does not represent a proportional relationship.

3. The phone bill is calculated each month using the equation y = 50x. The cost of the phone bill per month is represented by y and x represents the gigabytes of data used that month. What is the value and interpretation of the slope of this equation?

Correct answer: D

Rationale: The slope of the equation y = 50x is 50, which means that for each additional gigabyte of data used, the cost increases by 50 dollars. Therefore, the interpretation of the slope is that it represents the cost per gigabyte, making '50 dollars per gigabyte' the correct answer. Choices A, B, and C are incorrect because they do not reflect the relationship between the cost and the amount of data used in the given equation.

4. A circle has an area of 121π in². Which of the following is the circumference of the circle in terms of pi (π)?

Correct answer: B

Rationale: To find the circumference of the circle, we first need to determine the radius. Given that the area of the circle is 121π in², we use the formula for the area of a circle (A = πr²) to find the radius squared. So, r² = 121, which means the radius (r) is 11 in. The circumference of a circle is calculated using the formula 2πr. Substituting the radius value of 11 in, we get 2π(11) = 22π in. Therefore, the correct answer is 22π in. Choice A (11π in), Choice C (44π in), and Choice D (5.5π in) are incorrect because they do not correctly calculate the circumference based on the given area of the circle.

5. What is the range in the number of flights the flight attendant made?

Correct answer: B

Rationale: The range is calculated as the difference between the largest and smallest values in a dataset. In this case, the largest number of flights made by the flight attendant in a month was 79, and the smallest number was 54. Therefore, the range is 79 - 54 = 25. Choices A, C, and D are incorrect as they do not reflect the correct calculation of the range based on the given data.

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