Solving literal equations

Front

Define a literal equation.

Back

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

Front

What is the first step in solving a literal equation?

Back

Identify the variable you want to solve for and isolate it on one side of the equation.

Front

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

Back

x = (4wy)/m

Front

Solve for 'x': (1/w) + (1/y) = (1/x)

Back

x = (wy)/(w + y)

Front

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

Back

x = y(m + w)

Front

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

Back

x = (3v)/(bh)

Front

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

Back

x = -1/(5h)

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 by itself, making it easier to solve.

Front

What is the purpose of cross-multiplication in solving equations?

Back

Cross-multiplication is used to eliminate fractions in an equation, making it easier to solve for the variable.

Front

Explain the concept of reciprocal in equations.

Back

The reciprocal of a number is 1 divided by that number. In equations, using the reciprocal can help in isolating variables.