Variables on both sides of the equation

Front

What is a variable in an equation?

Back

A symbol that represents an unknown value in mathematical expressions or equations.

Front

What does it mean to solve an equation with variables on both sides?

Back

It involves isolating the variable by performing operations to both sides of the equation until the variable is alone on one side.

Front

How do you combine like terms in an equation?

Back

You add or subtract coefficients of the same variable to simplify the equation.

Front

What is the first step in solving the equation 30a - 24 = 5a + 26?

Back

Add 24 to both sides to eliminate the constant on the left side.

Front

What is the solution to the equation 5x - 14 = 8x + 4?

Back

x = -6.

Front

How do you isolate a variable in an equation?

Back

You perform inverse operations to both sides of the equation to get the variable by itself.

Front

What is the significance of the equal sign in an equation?

Back

It indicates that the expressions on both sides have the same value.

Front

What does it mean if an equation has no solution?

Back

It means that there is no value for the variable that can satisfy the equation.

Front

What is the process to check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 7x - 4 = 3 + 8x?

Back

x = -7.