TEAS Math Practice Test: Master Your Skills

ATI TEAS 7

Mathematics

1. The order of operations (PEMDAS) dictates the sequence for evaluating mathematical expressions. If a = 2 and b = -3, what is the value of 3a^2 - 2ab + b^2?

A. -3
B. 0
C. 33
D. 15

Correct answer: C

Rationale: Following PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right), we start with exponents: 3(2^2) - 2ab + b^2. Then, multiply: 3(4) - 2ab + b^2. Next, perform the multiplication/division from left to right: 12 - 2ab + b^2. Finally, add/subtract from left to right: 12 + (-2)(2)(-3) + (-3)^2. Evaluate the remaining terms: 12 + 12 + 9. The answer is 33.

2. The microscopic functional unit of the kidney responsible for filtering blood is the:

A. Ureter
B. Nephron
C. Renal pelvis
D. Bladder

Correct answer: B

Rationale: The correct answer is B: Nephron. The nephron is the microscopic functional unit of the kidney responsible for filtering blood and producing urine. It consists of the glomerulus, Bowman's capsule, proximal convoluted tubule, loop of Henle, and distal convoluted tubule. The other options, A: Ureter, C: Renal pelvis, and D: Bladder, are incorrect as they are not parts of the nephron but rather other structures involved in the urinary system. The ureter is a tube that carries urine from the kidneys to the bladder, the renal pelvis is a funnel-shaped structure in the kidney that collects urine, and the bladder stores urine before it is excreted from the body.

3. What happens to the acceleration of an object when the force acting on it is increased, assuming the mass remains constant?

A. Acceleration increases
B. Acceleration decreases
C. Acceleration remains constant
D. Acceleration becomes zero

Correct answer: a

Rationale: According to Newton's second law (F = ma), if mass is constant and force increases, acceleration also increases.

4. The part of the brain responsible for balance and coordination is the:

A. Cerebellum
B. Cerebrum
C. Hypothalamus
D. Thalamus

Correct answer: A

Rationale: The correct answer is A: Cerebellum. The cerebellum is the part of the brain responsible for balance and coordination. It receives information from the sensory systems, spinal cord, and other parts of the brain to coordinate voluntary movements such as posture, balance, and speech. The cerebrum (option B) is responsible for higher brain functions such as thinking and decision-making. The hypothalamus (option C) is involved in regulating basic biological needs such as hunger and thirst. The thalamus (option D) acts as a relay station for sensory information. Therefore, the cerebellum is the specific part of the brain that plays a crucial role in maintaining balance and coordination.

5. What is the Pauli exclusion principle?

A. The principle that electrons fill orbitals in order of increasing energy.
B. The principle that electrons cannot be in the same orbital with the same spin.
C. The principle that the maximum number of electrons in an orbital is 2n^2, where n is the energy level of the orbital.
D. The principle that the attractive force between an electron and the nucleus is inversely proportional to the distance between them.

Correct answer: B

Rationale: The Pauli exclusion principle states that no two electrons in an atom can have the same set of four quantum numbers. This means that electrons in the same orbital must have opposite spins, which is why they cannot be in the same orbital with the same spin. Option A refers to the Aufbau principle, option C refers to the maximum number of electrons in an orbital based on the formula 2n^2, and option D refers to Coulomb's law, which describes the electrostatic force between charged particles.