Solving Equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the principle of balancing equations?

Back

The principle of balancing equations states that whatever you do to one side of the equation, you must do to the other side to maintain equality.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform operations to get the variable on one side of the equation and all other terms on the opposite side.

Front

What is the solution to the equation 22 + 2a = 37 + 6 + a?

Back

a = 21.

Front

What is the ideal gas law equation?

Back

The ideal gas law is represented as pV = nRT, where p is pressure, V is volume, n is the number of moles, R is the gas constant, and T is temperature.

Front

How do you solve for R in the ideal gas law?

Back

R = pV/nT.

Front

What is the solution to the equation -5x = 25?

Back

x = -5.

Front

What is the solution to the equation 4(a + 3) = -32?

Back

a = -11.

Front

How do you solve for x in the equation ax + c = R?

Back

x = (R - c) / a.