Solving Equations MultiStep

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

Front

How do you isolate a variable in an equation?

Back

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

Front

What does it mean when an equation has no solution?

Back

An equation has no solution when there are no values that can satisfy the equation, often resulting in a contradiction.

Front

What is the first step in solving the equation -5x = 25?

Back

The first step is to divide both sides by -5 to isolate x.

Front

What is the solution to the equation 2 + 14a = -8 + 9a?

Back

The solution is a = -2.

Front

How do you combine like terms in an expression?

Back

Combine like terms by adding or subtracting the coefficients of terms that have the same variable raised to the same power.

Front

What is the simplified form of the expression 7v + 2 + 12 + 2v?

Back

The simplified form is 9v + 14.

Front

What is the solution to the equation 2x + 3(5x - 7) = 47?

Back

The solution is x = 4.

Front

What does it mean when an equation has infinitely many solutions?

Back

An equation has infinitely many solutions when any value of the variable satisfies the equation, often represented as a true statement.

Front

What is the solution to the equation x + 7 = x + 6?

Back

The equation has no solution.