ATI TEAS 7
TEAS Exam Math Practice
1. Solve the equation 8x − 6 = 3x + 24. Which of the following is the correct solution?
- A. x = 2.5
- B. x = 3.6
- C. x = 5
- D. x = 6
Correct answer: D
Rationale: To solve the equation 8x − 6 = 3x + 24, start by adding 6 to both sides: 8x − 6 + 6 = 3x + 24 + 6, which simplifies to 8x = 3x + 30. Next, subtract 3x from both sides to get 5x = 30. Finally, divide both sides by 5 to solve for x: x = 6. Therefore, the correct solution is x = 6. Choices A, B, and C are incorrect because they do not result from the correct algebraic manipulation of the equation.
2. What is a prime number?
- A. A number divisible by only 1 and itself
- B. A number divisible by 2 and 3
- C. A number divisible by any number
- D. A number with exactly three factors
Correct answer: A
Rationale: The correct answer is A: 'A number divisible by only 1 and itself.' A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. This definition aligns with choice A. Choice B is incorrect because not all prime numbers are divisible by 2 and 3. Choice C is incorrect as prime numbers are not divisible by any number other than 1 and themselves. Choice D is incorrect because a prime number has exactly two factors, 1 and itself, not three factors.
3. Which of the following is the correct simplification of the expression below? 12 ÷ 3 × 4 - 1 + 23
- A. 6
- B. 21
- C. 38
- D. 23
Correct answer: C
Rationale: The correct order of operations dictates solving division and multiplication before addition and subtraction. Therefore, following the order: (12 ÷ 3) × 4 - 1 + 23 = 4 × 4 - 1 + 23 = 16 - 1 + 23 = 38. Choice A (6) results from adding and subtracting before division and multiplication. Choice B (21) results from incorrect placement of parentheses. Choice D (23) is the last number in the expression and does not reflect the cumulative result of the operations.
4. After a hurricane, donations were collected and divided into various categories. If 23% of the funds went towards construction costs, what is the percentage donated to support construction?
- A. 0.49
- B. 0.23
- C. 0.18
- D. 0.1
Correct answer: B
Rationale: The correct answer is B (0.23). To find the percentage of funds donated for construction costs, we need to consider the given percentage, which is 23%. In decimal form, 23% is represented as 0.23. Choices A, C, and D are incorrect because they do not match the correct decimal equivalent of 23%, which is 0.23. It's essential to convert percentages to decimal form accurately to calculate the correct percentage of funds allocated for a specific purpose.
5. Simplify the expression. What is the value of x? (5/4)x = 20
- A. 8
- B. 16
- C. 24
- D. 32
Correct answer: D
Rationale: To solve for x, multiply both sides by the reciprocal of 5/4 to isolate x. (4/5)(5/4)x = (4/5)20; x = 16. Therefore, the correct answer is 32. Choice A (8), Choice B (16), and Choice C (24) are incorrect as they do not represent the correct value of x obtained after correctly simplifying the expression.
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