Solving literal equations

Front

Define a literal equation.

Back

A literal equation is an equation that contains two or more variables, and it is solved for one variable in terms of the others.

Front

What is the first step in solving a literal equation?

Back

The first step is to isolate the variable you want to solve for by using inverse operations.

Front

Solve for 'x': -5 = 1/(hx)

Back

x = -1/(5h)

Front

Solve for 'x': x/(4y) = w/m

Back

x = (4wy)/m

Front

Solve for 'x': 7wx = 16 - kx

Back

x = 16/(7w + k)

Front

Solve for 'x': w = Ax - Bx

Back

x = w/(A - B)

Front

Solve for 'x': v = (1/3)bhx

Back

x = (3v)/(bh)

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side of the equation by itself.

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to undo the operations applied to a variable, allowing you to isolate it.

Front

Explain the term 'coefficient' in the context of literal equations.

Back

A coefficient is a numerical factor that multiplies a variable in an equation.