ATI TEAS 7
TEAS Test Math Questions
1. Simplify the expression: 2x + 3x - 5.
- A. 5x - 5
- B. 5x
- C. x - 5
- D. 2x - 5
Correct answer: A
Rationale: To simplify the expression 2๐ฅ + 3๐ฅ - 5, follow these steps: Identify and combine like terms. The terms 2๐ฅ and 3๐ฅ are both 'like terms' because they both contain the variable ๐ฅ. Add the coefficients of the like terms: 2๐ฅ + 3๐ฅ = 5๐ฅ. Simplify the expression. After combining the like terms, the expression becomes 5๐ฅ - 5, which includes the simplified term 5๐ฅ and the constant -5. Thus, the fully simplified expression is 5๐ฅ - 5, making Option A the correct answer. This method ensures all terms are correctly simplified by combining similar elements and retaining constants.
2. A leather recliner is on sale for 30% less than its original price. A consumer has a coupon that saves an additional 25% off of the sale price. If the consumer pays $237 for the recliner, what is the original price of the recliner to the nearest dollar?
- A. $316
- B. $431
- C. $451
- D. $527
Correct answer: D
Rationale: To find the original price of the recliner, you need to reverse calculate. Let x be the original price. The sale price is 70% of the original price, and after the additional 25% coupon discount, the consumer pays $237. Setting up the equation: x ร 0.70 ร 0.75 = 237. Solving this equation, x โ $527. Therefore, the original price of the recliner was approximately $527. Choices A, B, and C are incorrect as they do not align with the correct calculation based on the given discounts.
3. Gordon purchased a television that was 30% off its original price of $472. What was the sale price?
- 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 first calculate the discount amount which is 30% of $472. 30% of $472 is $141.60. To find the sale price, you subtract the discount amount from the original price: $472 - $141.60 = $330.40. Therefore, the sale price of the television after a 30% discount would be $330.40. Choices A, B, and C are incorrect as they do not accurately reflect the calculated sale price after the discount.
4. After a hurricane struck a Pacific island, donations began flooding into a disaster relief organization. The organization provided four options for donors. What percentage of the funds was donated to support construction costs?
- A. 49%
- B. 23%
- C. 18%
- D. 10%
Correct answer: B
Rationale: The correct answer is B (23%). The information was obtained from the pie chart which indicated that 23% of the funds were allocated to support construction costs. Choice A (49%), Choice C (18%), and Choice D (10%) are incorrect as they do not reflect the accurate percentage designated for construction costs according to the data provided.
5. Four people split a bill. The first person pays for 1/3, the second person pays for 1/4, and the third person pays for 1/6. What fraction of the bill does the fourth person pay?
- A. 1/4
- B. 1/6
- C. 1/3
- D. 1/12
Correct answer: D
Rationale: To find out what fraction of the bill the fourth person pays, you first calculate the total fraction paid by the first three people: 1/3 + 1/4 + 1/6 = 4/12 + 3/12 + 2/12 = 9/12 = 3/4. This means that the first three people paid 3/4 of the bill. Therefore, the fourth person pays the remaining fraction: 1 - 3/4 = 1/4. So, the fourth person pays 1/4 of the bill. Choice A, 1/4, is incorrect because this is the total fraction paid by the first person. Choice B, 1/6, is incorrect as this is the fraction paid by the second person. Choice C, 1/3, is incorrect as this is the fraction paid by the third person.
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