Interpreting Inequalities Related to Numbers

Which of the following inequalities correctly represents the relationship between the atomic number (Z) and the mass number (A) of an element?

• Z < A

• Z > A

• Z = A

• Z \geq A

Tags

NGSS.HS-PS1-8

In a chemical reaction, the rate of reaction is inversely proportional to the activation energy. Which inequality represents this relationship?

• Rate \propto \frac{1}{E_a}

• Rate \propto E_a

• Rate = E_a

• Rate \geq E_a

Tags

NGSS.HS-PS1-5

Which inequality best describes the relationship between the wavelength (\lambda) and frequency (f) of a wave?

• \lambda \propto \frac{1}{f}

• \lambda \propto f

• \lambda = f

• \lambda \geq f

Tags

NGSS.HS-PS4-1

In thermodynamics, which inequality represents the relationship between the internal energy (U), heat (Q), and work (W) done on a system?

• \Delta U = Q - W

• \Delta U > Q + W

• \Delta U < Q - W

• \Delta U \geq Q + W

Tags

NGSS.HS-PS3-2

Which inequality correctly represents the relationship between the pressure (P) and volume (V) of an ideal gas at constant temperature?

• P \propto \frac{1}{V}

• P \propto V

• P = V

• P \geq V

In the context of light, which inequality represents the relationship between the speed of light (c), frequency (f), and wavelength (\lambda)?

• c = f \cdot \lambda

• c < f \cdot \lambda

• c > f \cdot \lambda

• c \geq f \cdot \lambda

Tags

NGSS.HS-PS4-1

Which inequality best describes the relationship between kinetic energy (KE) and velocity (v) of an object?

• KE \propto v^2

• KE \propto v

• KE = v

• KE \geq v^2

In biology, which inequality represents the relationship between the surface area (A) and volume (V) of a cell as it grows?

• A \propto V^{2/3}

• A \propto V

• A = V

• A \geq V^{2/3}

Which inequality correctly represents the relationship between the gravitational force (F) and the distance (r) between two masses?

• F \propto \frac{1}{r^2}

• F \propto r^2

• F = r

• F \geq r^2

Tags

NGSS.HS-PS2-4

In the context of sound, which inequality represents the relationship between intensity (I) and distance (d) from the source?

• I \propto \frac{1}{d^2}

• I \propto d^2

• I = d

• I \geq d^2

Tags

NGSS.HS-PS4-1