ATI TEAS 7
Math Practice TEAS Test
1. Complete the following equation: 5 + 3 × 4 - 6 / 2 = ?
- A. 5
- B. 9
- C. 11
- D. 7
Correct answer: B
Rationale: To solve this equation, follow the order of operations (PEMDAS/BODMAS): First, perform multiplication and division from left to right. 3 × 4 equals 12, and 6 / 2 equals 3. Then, carry out addition and subtraction from left to right. 5 + 12 - 3 equals 14, not 9. Therefore, the correct answer is 14, making choice B the correct answer. Choices A, C, and D can be eliminated as they do not match the correct result obtained by following the order of operations.
2. Gordon purchased a television when his local electronics store had a sale. The television was offered at 30% off its original price of $472. What was the sale price Gordon paid?
- A. $141.60
- B. $225.70
- C. $305.30
- D. $330.40
Correct answer: D
Rationale: To find the sale price after a 30% discount, you need to subtract 30% of the original price from the original price. 30% of $472 is $141.60. Subtracting this discount from the original price gives $472 - $141.60 = $330.40, which is the sale price Gordon paid. Choice A, $141.60, is incorrect as it represents only the discount amount, not the final sale price. Choices B and C are also incorrect as they do not account for the correct calculations of the discount and final sale price.
3. Which of the following options correctly orders the numbers below from least to greatest? 235.971, 145.884, -271.906, -193.823
- A. -271.906, -193.823, 145.884, 235.971
- B. -271.906, 235.971, -193.823, 145.884
- C. 145.884, -193.823, 235.971, -271.906
- D. -193.823, -271.906, 145.884, 235.971
Correct answer: A
Rationale: To correctly order the numbers from least to greatest, we start with the smallest number, which is -271.906, followed by -193.823, 145.884, and finally 235.971. Therefore, the correct order is -271.906, -193.823, 145.884, 235.971. Choice A is correct. Choice B is incorrect as it incorrectly places 235.971 before -193.823. Choice C is incorrect as it starts with the largest number, 145.884. Choice D is incorrect as it starts with -193.823, which is not the smallest number in the list.
4. Complete the following equation: x + x * x - x / x = ?
- A. 5
- B. 3
- C. 2
- D. 1
Correct answer: B
Rationale: To solve the equation x + x * x - x / x, follow the order of operations (PEMDAS/BODMAS). First, perform the multiplication: x * x = x^2. Then, perform the division: x / x = 1. Substituting these back into the equation gives x + x^2 - 1. Therefore, the equation simplifies to x + x^2 - 1. By evaluating this further, the final result is 3. Choices A, C, and D are incorrect because they do not correctly apply the order of operations to solve the equation.
5. What is the product of two irrational numbers?
- A. Irrational
- B. Rational
- C. Irrational or rational
- D. Complex and imaginary
Correct answer: C
Rationale: The correct answer is C: 'Irrational or rational.' When you multiply two irrational numbers, the result can be either irrational or rational. For example, multiplying the square root of 2 (√2) by itself results in the rational number 2. This shows that the product of two irrational numbers can lead to a rational result. Choices A, B, and D are incorrect because the product of two irrational numbers is not limited to being irrational; it can also be rational.
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