ATI TEAS 7
TEAS Exam Math Practice
1. If the price of a shirt was originally $30 and it is now being sold at a 20% discount, what is the sale price of the shirt?
- A. $24
- B. $25
- C. $26
- D. $28
Correct answer: A
Rationale: To find the discount amount, calculate 20% of $30: 0.20 × $30 = $6. Subtract the discount from the original price to get the sale price: $30 - $6 = $24. Therefore, the correct answer is $24. Choices B, C, and D are incorrect as they do not reflect the correct calculation of applying a 20% discount to the original price of $30.
2. What is the simplest way to write the following expression? 5x - 2y + 4x + y
- A. 9x - y
- B. 9x - 3y
- C. 9x + 3y
- D. x; y
Correct answer: A
Rationale: To simplify the given expression 5x - 2y + 4x + y, we combine like terms. Grouping the x terms together and the y terms together, we have 5x + 4x - 2y + y. Combining like terms results in 9x - y. Therefore, the simplest form of the expression is 9x - y, which corresponds to option A. Option B is incorrect because it incorrectly subtracts 3y instead of just y. Option C is incorrect because it adds 3y instead of subtracting y. Option D is incorrect as it separates x and y with a semicolon instead of an operation, providing no simplified expression.
3. How can you visually differentiate between a histogram and a bar graph?
- A. A bar graph has gaps between the bars; a histogram does not
- B. A bar graph displays frequency; a histogram does not
- C. A histogram illustrates comparison; a bar graph does not
- D. A bar graph includes labels; a histogram does not
Correct answer: A
Rationale: The key difference between a histogram and a bar graph is that a bar graph has gaps between the bars, while a histogram does not. This feature helps in visually distinguishing between the two. Choice B is incorrect because both types of graphs can show frequency. Choice C is incorrect as both graphs can be used for comparison. Choice D is incorrect as both types of graphs can have labels for better understanding.
4. What defines rational and irrational numbers?
- A. Any number that can be expressed as a fraction; any number that cannot be expressed as a fraction
- B. Any number that terminates or repeats; any number that does not terminate or repeat
- C. Any whole number; any decimal
- D. Any terminating decimal; any repeating decimal
Correct answer: A
Rationale: Rational numbers are those that can be written as a simple fraction, including whole numbers and decimals that either terminate or repeat. Irrational numbers, on the other hand, cannot be expressed as fractions. Choice B is incorrect because not all rational numbers necessarily terminate or repeat. Choice C is incorrect as it oversimplifies the concept of rational and irrational numbers by only considering whole numbers and decimals. Choice D is incorrect as it inaccurately defines rational and irrational numbers solely based on decimals terminating or repeating, excluding the broader category of fractions.
5. What is the area of a triangle with a base of 10 cm and a height of 7 cm?
- A. 70 cm²
- B. 35 cm²
- C. 140 cm²
- D. 100 cm²
Correct answer: B
Rationale: To find the area of a triangle, you use the formula A = 1/2 × base × height. Substituting the given values: A = 1/2 × 10 cm × 7 cm = 35 cm². Therefore, the correct answer is B. Choice A (70 cm²) is incorrect as it seems to be the product of the base and height rather than the area formula. Choice C (140 cm²) is incorrect as it appears to be twice the correct answer, possibly a result of a miscalculation. Choice D (100 cm²) is incorrect as it does not reflect the correct calculation based on the given base and height values.
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