About this Study Set
This study set covers Basic Algebra through
15 practice questions.
A collection of medium-difficulty algebraic problems integrated with scientific constants, physics principles, and mathematical proofs. Every question includes the correct answer so you can learn as you go — pick any format above to get started.
Questions & Answers
Browse all 15 questions from the
Scientific Foundations of Basic Algebra study set below.
Each question shows the correct answer — select a study format above to practice interactively.
1
The ideal gas law is PV = nRT. If you solve for pressure P in terms of the other variables, which algebraic expression is correct?
-
A
P = nRT / V
-
B
P = nRT - V
-
C
P = V / nRT
-
D
P = nR / TV
2
In Einstein's mass-energy equivalence, E = mc^2. If energy E is 9 and mass m is 1, what is the value of c?
3
The distance d an object falls in time t under gravity is d = 0.5gt^2. If g = 9.8 and t = 2, what is the distance d?
-
A
9.8
-
B
19.6
-
C
39.2
-
D
4.9
4
The conversion from Celsius (C) to Fahrenheit (F) is F = 1.8C + 32. What is the value of C when F = 32?
5
The formula for the area of a circle is A = πr^2. If the area A equals 9π, what is the radius r?
6
Newton's Second Law is F = ma. If force F is 20 newtons and acceleration a is 4 m/s^2, what is the mass m?
7
The kinetic energy formula is K = 0.5mv^2. If mass m = 2 and velocity v = 5, what is the kinetic energy K?
8
In Ohm's Law, V = IR. If voltage V = 12 and current I = 3, what is the resistance R?
9
The circumference of a circle is C = 2πr. If C = 10π, what is the diameter (2r)?
10
The frequency of a wave is f = v / λ. If velocity v = 300 and wavelength λ = 2, what is the frequency f?
11
The density formula is ρ = m / V. If mass m = 50 and density ρ = 2, what is the volume V?
12
For a right triangle, the Pythagorean theorem is a^2 + b^2 = c^2. If a = 3 and b = 4, what is the value of c?
13
The momentum of an object is p = mv. If mass m = 10 and velocity v = 3, what is the momentum p?
14
The work formula is W = Fd. If work W = 100 and force F = 20, what is the distance d?
15
If the power formula is P = IV and current I = 2 and voltage V = 110, what is the power P?
