Solving Literal Equations

Front

What is 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

How do you isolate a variable in a literal equation?

Back

To isolate a variable, you perform inverse operations to move other terms to the opposite side of the equation.

Front

What is the first step to solve the equation: 8x + 4y = 16 for y?

Back

Subtract 8x from both sides to isolate the term with y.

Front

Solve for y: 8x + 4y = 16.

Back

y = -2x + 4.

Front

What is the formula for solving for a variable in a literal equation?

Back

The formula involves rearranging the equation using algebraic operations to isolate the desired variable.

Front

What does it mean to 'solve for x' in an equation?

Back

To 'solve for x' means to find the value of x that makes the equation true.

Front

Given the equation P = a + (n - 1)b, how do you solve for b?

Back

Front

What is the first step to solve the equation for b in P = a + (n - 1)b?

Back

Subtract a from both sides of the equation.

Front

What is the solution for x in the equation: x = by + v?

Back

x = by + v.

Front

What is the importance of rearranging equations?

Back

Rearranging equations allows us to express one variable in terms of others, which is essential for solving problems in algebra.