Variables on Both Sides

Front

What is the first step in solving an equation with variables on both sides?

Back

The first step is to simplify both sides of the equation, if necessary, and then move all terms involving variables to one side and constant terms to the other side.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power, simplifying the expression.

Front

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

Back

The equality sign indicates that the expressions on both sides of the equation are equal in value.

Front

How can you check if your solution to an equation is correct?

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

What is the role of coefficients in an equation?

Back

Coefficients are the numerical factors that multiply the variables in an equation, affecting the value of the variable.

Front

What does it mean to have a negative coefficient in front of a variable?

Back

A negative coefficient indicates that the variable's value is being subtracted or that it has an opposite effect on the equation.

Front

How do you handle equations with fractions?

Back

To handle equations with fractions, you can multiply both sides of the equation by the least common denominator to eliminate the fractions.

Front

What is the process for solving a linear equation?

Back

The process involves simplifying the equation, isolating the variable, and performing inverse operations to find the value of the variable.

Front

What is a solution set in the context of equations?

Back

A solution set is the set of all values that satisfy the equation, which can be one value, multiple values, or no solution.