ATI TEAS 7
Math Practice TEAS Test
1. What must you always use in all math?
- A. PEMDAS
- B. Variables
- C. Conversion factors
- D. Estimation
Correct answer: A
Rationale: The correct answer is A: PEMDAS. PEMDAS stands for the order of operations: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). It is a fundamental rule to follow in mathematics to ensure calculations are done correctly. Choices B, C, and D are incorrect as they do not encompass the essential rule that PEMDAS provides for solving mathematical expressions.
2. 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.
3. Express 18/5 as a reduced mixed number.
- A. 3 3/5
- B. 3 1/15
- C. 3 1/18
- D. 3 1/54
Correct answer: A
Rationale: 18/5 = 3 with a remainder of 3, so it is 3 3/5. 3 1/15 is equivalent to 46/15 which is greater than 18/5 3 1/18 converts to 55/18 which is also greater than 18/5 3 1/54 converts to 163/54
4. If the width of a rectangle is 4 inches (in) and the area of the rectangle is 32 in², what is the length of the rectangle?
- A. 8 in
- B. 28 in
- C. 36 in
- D. 128 in
Correct answer: A
Rationale: To find the length of the rectangle, we use the formula: Length = Area / Width. Substituting the values given, Length = 32 in² / 4 in = 8 in. Therefore, the correct answer is A. Choice B (28 in), Choice C (36 in), and Choice D (128 in) are incorrect because they do not correctly calculate the length based on the given width and area of the rectangle.
5. Four people split a bill. The first person pays 1/5, the second person pays 1/3, and the third person pays 1/12. What fraction of the bill does the fourth person pay?
- A. 1/4
- B. 13/60
- C. 47/60
- D. 1/4
Correct answer: C
Rationale: To find the fourth person's share, subtract the fractions paid by the first three people from the total bill (1). The first person pays 1/5, the second person pays 1/3, and the third person pays 1/12. Adding these fractions gives 7/15. Subtracting this from 1 gives the fourth person's share as 8/15, which simplifies to 4/5. Therefore, the fourth person pays 4/5 of the bill. Option A (1/4) is incorrect because it does not consider the fractions paid by the first three people. Option B (13/60) is incorrect as it is not the remainder after subtracting the first three fractions from 1. Option D (1/4) is a duplicate of Option A and is also incorrect.
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