ATI TEAS 7
TEAS Practice Test Math
1. If x represents the width of a rectangle and the length is six less than two times the width, which of the following expressions represents the length of the rectangle in terms of x?
- A. 2x-6
- B. 6-2x
- C. 6x-2
- D. 3x-4
Correct answer: A
Rationale: To find the expression representing the length of the rectangle in terms of x, we need to consider that the length is six less than two times the width. If we denote the width as x, the length can be expressed as 2x - 6. Therefore, the correct expression is 2x-6 (choice A). Choice B, 6-2x, represents the width subtracted from 6, not the length. Choice C, 6x-2, is not derived from the given information about the relationship between the width and length. Choice D, 3x-4, is not consistent with the relationship provided in the question.
2. Susan decided to celebrate getting her first nursing job by purchasing a new outfit. She bought a dress for $69.99, shoes for $39.99, and accessories for $34.67. What was the total cost of Susan’s outfit?
- A. $69.99
- B. $75.31
- C. $109.98
- D. $144.65
Correct answer: D
Rationale: To find the total cost of Susan's outfit, you need to add the prices of the dress, shoes, and accessories. $69.99 (dress) + $39.99 (shoes) + $34.67 (accessories) = $144.65. Therefore, the correct answer is $144.65. Option A ($69.99) is incorrect as it only represents the price of the dress. Option B ($75.31) is incorrect as it does not account for the total cost. Option C ($109.98) is incorrect as it does not include the individual prices of all items purchased.
3. During week 1, Cameron worked 5 shifts. During week 2, she worked twice as many shifts. During week 3, she added 4 more shifts. How many shifts did Cameron work in week 3?
- A. 15 shifts
- B. 14 shifts
- C. 16 shifts
- D. 17 shifts
Correct answer: B
Rationale: To find out how many shifts Cameron worked in week 3, we first determine the shifts worked in weeks 1 and 2. In week 1, Cameron worked 5 shifts. In week 2, she worked twice as many shifts, which is 5 x 2 = 10 shifts. Adding the 4 more shifts in week 3, the total shifts worked in week 3 would be 5 (week 1) + 10 (week 2) + 4 (week 3) = 19 shifts. Therefore, the correct answer is 14 shifts (Option B), not 15 shifts (Option A), 16 shifts (Option C), or 17 shifts (Option D).
4. The length of a rectangle is 3 units greater than its width. Which expression correctly represents the perimeter of the rectangle?
- A. 2W + 2(W + 3)
- B. W + W + 3
- C. W(W + 3)
- D. 2W + 2(3W)
Correct answer: A
Rationale: To find the perimeter of a rectangle, you add up all its sides. In this case, the length is 3 units greater than the width, so the length can be expressed as W + 3. The formula for the perimeter of a rectangle is 2W + 2(L), where L represents the length. Substituting W + 3 for L, the correct expression for the perimeter becomes 2W + 2(W + 3), which simplifies to 2W + 2W + 6 or 4W + 6. Choices B, C, and D do not correctly represent the formula for the perimeter of a rectangle. Choice B simply adds the width twice to 3, neglecting the length. Choice C multiplies the width by the sum of the width and 3, which is incorrect. Choice D combines the width and 3 times the width, which is not the correct formula for the perimeter of a rectangle.
5. In a fraction, which number is the numerator and which is the denominator?
- A. Numerator: top, Denominator: bottom
- B. Numerator: bottom, Denominator: top
- C. Numerator: left, Denominator: right
- D. Numerator: right, Denominator: left
Correct answer: A
Rationale: The correct answer is A: 'Numerator: top, Denominator: bottom.' In a fraction, the numerator is the top number, representing the part of the whole being considered, while the denominator is the bottom number, indicating the total number of equal parts into which the whole is divided. Choices B, C, and D are incorrect because they provide inaccurate descriptions of the numerator and denominator positions in a fraction.
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