ATI TEAS 7
TEAS Practice Test Math
1. Two friends get frozen yogurt. The ratio of yogurt to toppings is 4:3. If one of the friends has 4.5 oz of toppings in their bowl, what is the amount of yogurt in their dessert?
- A. 6 oz
- B. 5.5 oz
- C. 3 oz
- D. 3.5 oz
Correct answer: A
Rationale: The ratio 4:3 implies that for every 4 oz of yogurt, there are 3 oz of toppings. To find the amount of yogurt when the friend has 4.5 oz of toppings, we use the proportion: (4/3) ร 4.5 = 6 oz. Therefore, the amount of yogurt in their dessert is 6 oz. Choices B, C, and D are incorrect as they do not reflect the correct calculation based on the given ratio.
2. 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.
3. A bucket can hold 2500 mL. How many liters can the bucket hold?
- A. 0.25 L
- B. 25 L
- C. 2.5 L
- D. 250 L
Correct answer: C
Rationale: To convert milliliters (mL) to liters (L), you divide by 1000 since 1000 mL is equivalent to 1 liter. Therefore, 2500 mL is equal to 2.5 liters (2500 mL รท 1000 = 2.5 L). Choice A (0.25 L) is incorrect as it represents a conversion error by a factor of 10. Choice B (25 L) is incorrect as it incorrectly multiplies instead of dividing by 1000. Choice D (250 L) is incorrect as it overestimates the conversion by a factor of 100.
4. What is the result of (4.71 ร 10^3) - (2.98 ร 10^2)? Which of the following is the correct simplified expression?
- A. 1.73 ร 10
- B. 4.412 ร 10^2
- C. 1.73 ร 10^3
- D. 4.412 ร 10^3
Correct answer: D
Rationale: The correct answer is D: 4.412 ร 10^3. To simplify the expression, rewrite 4.71 ร 10^3 as 47.1 ร 10^2. Subtract the values in front of 10^2: 47.1 - 2.98 = 44.12. Rewriting this gives 44.12 ร 10^2 = 4.412 ร 10^3. Choice A is incorrect as it does not account for the correct subtraction result. Choice B is incorrect as it does not correctly simplify the expression. Choice C is incorrect as it provides an incorrect power of 10 in the simplified expression.
5. At a car dealership, employees earn a monthly base salary of $2,000 plus 3% commission on total sales. If an employee makes $5,000 in sales, what will their total monthly earnings be?
- A. $2,500
- B. $2,150
- C. $2,100
- D. $2,300
Correct answer: A
Rationale: To calculate the total monthly earnings, we first find the commission earned on $5,000 sales, which is 3% of $5,000 = $150. Adding this commission to the $2,000 base salary gives a total of $2,000 + $150 = $2,150. Therefore, the correct total monthly earnings are $2,500. Choice B ($2,150) is incorrect because it only includes the base salary and the commission but miscalculates the total. Choices C ($2,100) and D ($2,300) are also incorrect as they do not account for the correct calculation of the commission on sales.
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