In the equation of motion $$s = ut + \frac{1}{2}at^2$$ , if you know the initial velocity $$u$$ , time $$t$$ , and acceleration $$a$$ , how would you solve for the unknown displacement $$s$$ ?

Rearrange the equation to solve for $$s$$ .

Use the quadratic formula to solve for $$s$$ .

Differentiate the equation with respect to $$t$$ .

Integrate the equation with respect to $$t$$ .

A solution has a concentration of $$c$$ mol/L and a volume of $$V$$ L. How would you solve for the unknown number of moles $$n$$ in the solution?

Use the formula $$n = c \times V$$ .

Use the formula $$n = \frac{c}{V}$$ .

Use the formula $$n = \frac{V}{c}$$ .

Use the formula $$n = c + V$$ .

In the equation for gravitational force $$F = \frac{Gm_1m_2}{r^2}$$ , if you know the masses $$m_1$$ and $$m_2$$ , and the distance $$r$$ , how would you solve for the unknown force $$F$$ ?

Substitute the known values into the equation and solve for $$F$$ .

Use the inverse square law to solve for $$F$$ .

Use the formula for potential energy to solve for $$F$$ .

Use the formula for kinetic energy to solve for $$F$$ .

In the chemical equation $$\text{C}_6\text{H}_{12}\text{O}_6 + 6\text{O}_2 \rightarrow 6\text{CO}_2 + 6\text{H}_2\text{O}$$ , if you know the moles of $$\text{C}_6\text{H}_{12}\text{O}_6$$ , how would you solve for the unknown moles of $$\text{CO}_2$$ produced?

Use the stoichiometric coefficients to find the ratio between $$\text{C}_6\text{H}_{12}\text{O}_6$$ and $$\text{CO}_2$$ .

Use the ideal gas law to find the volume of $$\text{CO}_2$$ .

Use the molar mass of $$\text{CO}_2$$ to find its mass.

In the formula for kinetic energy $$KE = \frac{1}{2}mv^2$$ , if you know the mass $$m$$ and velocity $$v$$ , how would you solve for the unknown kinetic energy $$KE$$ ?

Substitute the known values into the formula and solve for $$KE$$ .

Use the formula for potential energy to solve for $$KE$$ .

Use the formula for work done to solve for $$KE$$ .

Use the formula for power to solve for $$KE$$ .

In the equation for pressure $$P = \frac{F}{A}$$ , if you know the force $$F$$ and area $$A$$ , how would you solve for the unknown pressure $$P$$ ?

Substitute the known values into the equation and solve for $$P$$ .

Use the formula for volume to solve for $$P$$ .

Use the formula for density to solve for $$P$$ .

Use the formula for temperature to solve for $$P$$ .

In the equation for wave speed $$v = f\lambda$$ , if you know the frequency $$f$$ and wavelength $$\lambda$$ , how would you solve for the unknown wave speed $$v$$ ?

Substitute the known values into the equation and solve for $$v$$ .

Use the formula for energy to solve for $$v$$ .

Use the formula for momentum to solve for $$v$$ .

Use the formula for force to solve for $$v$$ .

In the formula for density $$\rho = \frac{m}{V}$$ , if you know the mass $$m$$ and volume $$V$$ , how would you solve for the unknown density $$\rho$$ ?

Substitute the known values into the formula and solve for $$\rho$$ .

Use the formula for pressure to solve for $$\rho$$ .

Use the formula for temperature to solve for $$\rho$$ .

Use the formula for velocity to solve for $$\rho$$ .

In the equation for electric current $$I = \frac{V}{R}$$ , if you know the voltage $$V$$ and resistance $$R$$ , how would you solve for the unknown current $$I$$ ?

Substitute the known values into the equation and solve for $$I$$ .

Use the formula for power to solve for $$I$$ .

Use the formula for energy to solve for $$I$$ .

Use the formula for charge to solve for $$I$$ .

In the formula for acceleration $$a = \frac{\Delta v}{t}$$ , if you know the change in velocity $$\Delta v$$ and time $$t$$ , how would you solve for the unknown acceleration $$a$$ ?

Substitute the known values into the formula and solve for $$a$$ .

Use the formula for force to solve for $$a$$ .

Use the formula for momentum to solve for $$a$$ .

Use the formula for energy to solve for $$a$$ .

In the equation for work done $$W = Fd\cos\theta$$ , if you know the force $$F$$ , distance $$d$$ , and angle $$\theta$$ , how would you solve for the unknown work done $$W$$ ?

Substitute the known values into the equation and solve for $$W$$ .

Use the formula for power to solve for $$W$$ .

Use the formula for energy to solve for $$W$$ .

Use the formula for momentum to solve for $$W$$ .

In the formula for potential energy $$PE = mgh$$ , if you know the mass $$m$$ , gravitational acceleration $$g$$ , and height $$h$$ , how would you solve for the unknown potential energy $$PE$$ ?

Substitute the known values into the formula and solve for $$PE$$ .

Use the formula for kinetic energy to solve for $$PE$$ .

Use the formula for work done to solve for $$PE$$ .

Use the formula for power to solve for $$PE$$ .

In the equation for momentum $$p = mv$$ , if you know the mass $$m$$ and velocity $$v$$ , how would you solve for the unknown momentum $$p$$ ?

Substitute the known values into the equation and solve for $$p$$ .

Use the formula for force to solve for $$p$$ .

Use the formula for energy to solve for $$p$$ .

Use the formula for acceleration to solve for $$p$$ .

In the formula for power $$P = \frac{W}{t}$$ , if you know the work done $$W$$ and time $$t$$ , how would you solve for the unknown power $$P$$ ?

Substitute the known values into the formula and solve for $$P$$ .

Use the formula for energy to solve for $$P$$ .

Use the formula for force to solve for $$P$$ .

Use the formula for velocity to solve for $$P$$ .

In the equation for frequency $$f = \frac{1}{T}$$ , if you know the period $$T$$ , how would you solve for the unknown frequency $$f$$ ?

Substitute the known value into the equation and solve for $$f$$ .

Use the formula for wavelength to solve for $$f$$ .

Use the formula for speed to solve for $$f$$ .

Use the formula for energy to solve for $$f$$ .

In the formula for angular velocity $$\omega = \frac{\Delta \theta}{t}$$ , if you know the change in angle $$\Delta \theta$$ and time $$t$$ , how would you solve for the unknown angular velocity $$\omega$$ ?

Substitute the known values into the formula and solve for $$\omega$$ .

Use the formula for linear velocity to solve for $$\omega$$ .

Use the formula for acceleration to solve for $$\omega$$ .

Use the formula for force to solve for $$\omega$$ .

In the equation for torque $$\tau = rF\sin\theta$$ , if you know the radius $$r$$ , force $$F$$ , and angle $$\theta$$ , how would you solve for the unknown torque $$\tau$$ ?

Substitute the known values into the equation and solve for $$\tau$$ .

Use the formula for work done to solve for $$\tau$$ .

Use the formula for energy to solve for $$\tau$$ .

Use the formula for momentum to solve for $$\tau$$ .

In the formula for capacitance $$C = \frac{Q}{V}$$ , if you know the charge $$Q$$ and voltage $$V$$ , how would you solve for the unknown capacitance $$C$$ ?

Substitute the known values into the formula and solve for $$C$$ .

Use the formula for energy to solve for $$C$$ .

Use the formula for power to solve for $$C$$ .

Use the formula for resistance to solve for $$C$$ .

In the equation for magnetic force $$F = qvB\sin\theta$$ , if you know the charge $$q$$ , velocity $$v$$ , magnetic field $$B$$ , and angle $$\theta$$ , how would you solve for the unknown force $$F$$ ?

Substitute the known values into the equation and solve for $$F$$ .

Use the formula for electric field to solve for $$F$$ .

Use the formula for potential energy to solve for $$F$$ .

Use the formula for kinetic energy to solve for $$F$$ .

In the formula for refractive index $$n = \frac{c}{v}$$ , if you know the speed of light $$c$$ and the speed of light in the medium $$v$$ , how would you solve for the unknown refractive index $$n$$ ?

Substitute the known values into the formula and solve for $$n$$ .

Use the formula for wavelength to solve for $$n$$ .

Use the formula for frequency to solve for $$n$$ .

Use the formula for energy to solve for $$n$$ .

In the equation for thermal energy $$Q = mc\Delta T$$ , if you know the mass $$m$$ , specific heat capacity $$c$$ , and change in temperature $$\Delta T$$ , how would you solve for the unknown thermal energy $$Q$$ ?

Substitute the known values into the equation and solve for $$Q$$ .

Use the formula for work done to solve for $$Q$$ .

Use the formula for power to solve for $$Q$$ .

Use the formula for momentum to solve for $$Q$$ .

In the formula for electric potential energy $$U = k\frac{q_1q_2}{r}$$ , if you know the charges $$q_1$$ and $$q_2$$ , and the distance $$r$$ , how would you solve for the unknown electric potential energy $$U$$ ?

Substitute the known values into the formula and solve for $$U$$ .

Use the formula for kinetic energy to solve for $$U$$ .

Use the formula for force to solve for $$U$$ .

Use the formula for power to solve for $$U$$ .

Solve for Unknown Variable

Authored by Lisa Thompson

Science

11th Grade

NGSS covered

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25 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the volume of a balloon if it contains 3.2 moles of helium at a temperature of 20⁰C and 1.2 atm?

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the volume of a balloon if it contains 3.2 moles of helium at a temperature of 20⁰C and 1.2 atm?

P = x (unknown), V = 3.2 mol, n = 1.2 atm, T = 20⁰C K

P = 1.2 atm, V = 3.2 mol, n = 20⁰C, T = x (unknown)

P = 293 K, V = 3.2 mol, n = x (unknown), T = 1.2 atm

P = 1.2 atm, V = x (unknown), n = 3.2 mol, T = 293 K

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Use the stoichiometric coefficients to find the ratio between A and C.

Use the ideal gas law to find the volume of C.

Use Avogadro's number to find the number of molecules of C.

Use the molar mass of C to find its mass.

Tags

NGSS.HS-PS1-7

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Tags

NGSS.HS-PS2-1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Tags

NGSS.HS-PS2-4

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Tags

NGSS.HS-PS1-7

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