ATI TEAS 7
Mathematics
1. Imaginary unit multiples are used to represent numbers that cannot be obtained on the number line. Which of the following is equivalent to 5i?
- A. -5
- B. i^5
- C. 5√-1
- D. 1/5i
Correct answer: C
Rationale: Rationale: - The imaginary unit, denoted as "i," is defined as the square root of -1. - Therefore, 5i can be expressed as 5 times the square root of -1, which is equivalent to 5√-1. - Option A, -5, is a real number and not an imaginary unit multiple. - Option B, i^5, is equal to i because i raised to any power that is a multiple of 4 results in 1, and i^5 is equivalent to i. - Option D, 1/5i, is the reciprocal of 5i and not equivalent to 5i.
2. What is the relationship between the frequency and period of a wave?
- A. They are unrelated
- B. Frequency = Period
- C. Frequency = 1/Period
- D. Period = 1/Frequency
Correct answer: D
Rationale: The correct relationship between frequency and period of a wave is that Period = 1/Frequency. This means that the period of a wave is the reciprocal of its frequency. Frequency is the number of complete cycles of a wave that occur in a unit of time, while the period is the time it takes for one complete cycle of the wave to occur. Since frequency and period are inversely related, the correct formula is Period = 1/Frequency.
3. In the reaction 2H2 + O2 → 2H2O, how many moles of oxygen are required to react completely with 4 moles of hydrogen?
- A. 1
- B. 2
- C. 3
- D. 4
Correct answer: 2
Rationale: The balanced equation indicates a 1:1 ratio between H2 and O2, so 4 moles of H2 require 4 moles of O2, and 2 moles of H2 require 2 moles of O2.
4. What property of a substance measures the amount of matter per unit volume?
- A. Mass
- B. Weight
- C. Density
- D. Volume
Correct answer: c
Rationale: Density measures the amount of matter (mass) per unit volume of a substance.
5. What is the structure that connects the ovary to the uterus in the female reproductive system?
- A. Urethra
- B. Fallopian tube
- C. Vagina
- D. Cervix
Correct answer: B
Rationale: The correct answer is B: Fallopian tube. The fallopian tubes are the structures that connect the ovaries to the uterus in the female reproductive system. These tubes play a crucial role in the fertilization process by providing a pathway for the egg to travel from the ovary to the uterus. The urethra (A) is a structure that carries urine from the bladder out of the body and is not directly involved in the reproductive system. The vagina (C) is the canal that connects the external genitals to the cervix and is not the structure that connects the ovary to the uterus. The cervix (D) is the lower part of the uterus that connects to the vagina and does not connect the ovary to the uterus.
6. Which state of matter has both definite volume and definite shape?
- A. Solid
- B. Liquid
- C. Gas
- D. Plasma
Correct answer: a
Rationale: Solids have both definite volume and definite shape. The particles in solids are closely packed, maintaining their positions, resulting in a fixed shape and volume.
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