ATI TEAS 7
TEAS Test Sample Math Questions
1. What is the domain for the function f(x)=2x+5?
- A. All real numbers
- B. x ≥ 0
- C. x > 0
- D. x ≤ 0
Correct answer: A
Rationale: The domain of a function represents all possible input values that the function can accept. In this case, the function f(x)=2x+5 is a linear function, and linear functions have a domain of all real numbers. This means that any real number can be substituted for x in the function f(x)=2x+5, making choice A, 'All real numbers,' the correct domain for this function. Choices B, C, and D, restrict the domain unnecessarily by limiting the values of x to specific subsets of real numbers, which does not accurately reflect the nature of the given function.
2. Which element is used in jewelry due to its malleability and resistance to tarnish?
- A. Iron
- B. Copper
- C. Gold
- D. Silver
Correct answer: C
Rationale: Gold is the correct answer. Gold is a popular choice for jewelry due to its exceptional malleability, allowing it to be easily shaped into intricate designs. Moreover, gold is resistant to tarnish, ensuring the jewelry retains its beauty over time. Iron is not commonly used in jewelry due to its susceptibility to rusting. Copper is also not as popular in jewelry making as gold due to its tendency to tarnish and cause skin discoloration. While silver is used in jewelry, it is more prone to tarnish compared to gold, making it less ideal for long-lasting pieces.
3. Which type of fiber is insoluble and promotes gut motility?
- A. Pectin
- B. Cellulose
- C. Beta-gluca
- D. Guar gum
Correct answer: B
Rationale: A) Pectin is a soluble fiber found in fruits and vegetables. It forms a gel-like substance in the gut and can help lower cholesterol levels. B) Cellulose is an insoluble fiber found in plants, particularly in the cell walls of fruits, vegetables, and whole grains. It adds bulk to the stool and promotes gut motility by aiding in the movement of food through the digestive system. C) Beta-glucan is a soluble fiber found in oats and barley. It can help lower cholesterol levels and improve blood sugar control. D) Guar gum is a soluble fiber derived from guar beans. It can help with digestion and may have a role in managing blood sugar levels. In this case, the question specifically asks for the type of fiber that is insoluble and promotes gut motility, which is characteristic of cellulose.
4. Which of the following equations correctly models the relationship between x and y when y is three times x?
- A. y = 3x
- B. x = 3y
- C. y = x + 3
- D. y = x / 3
Correct answer: A
Rationale: The correct equation that models the relationship between x and y when y is three times x is y = 3x. This equation represents that y is equal to three times x. Choice B (x = 3y) incorrectly reverses the relationship, stating that x is equal to three times y. Choice C (y = x + 3) and Choice D (y = x / 3) do not correctly represent a relationship where y is three times x, making them incorrect choices.
5. What is the main factor affecting the acceleration of a ball rolling down an inclined plane?
- A. The material of the ball
- B. The angle of the incline
- C. The air resistance
- D. The ball's initial velocity
Correct answer: B
Rationale: The main factor affecting the acceleration of a ball rolling down an inclined plane is the angle of the incline. The steeper the incline, the greater the component of the gravitational force acting parallel to the incline, leading to a higher acceleration of the ball. While the material of the ball, air resistance, and the ball's initial velocity may have some influence on the motion, the angle of the incline is the primary factor determining acceleration in this scenario. The material of the ball does not significantly affect its acceleration on the incline unless it impacts the friction with the surface. Air resistance plays a minor role in the acceleration of the ball compared to the gravitational force. The ball's initial velocity affects the speed at the start but does not influence the acceleration down the incline.
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