Two Step Equations with Variables Both Sides, # of solutions

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform the inverse operations in reverse order: first undo addition or subtraction, then undo multiplication or division.

Front

What does it mean to have variables on both sides of an equation?

Back

Having variables on both sides means that the variable appears in more than one term, requiring rearrangement to solve.

Front

What is the first step to solve the equation -5x + 20 = -6x - 5?

Back

The first step is to add 6x to both sides to combine like terms.

Front

What is the solution to the equation 3n + 9 = 2n - 12?

Back

The solution is n = -21.

Front

How do you 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 5(x+1) = 2(x+10)?

Back

The solution is x = 5.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if the variable cancels out and results in a false statement, like 0 = 5.

Front

What is the solution to the equation 5x - 2 = 3x + 4?

Back

The solution is x = 3.

Front

What is the solution to the equation 5x + 1 = 3x + 5?

Back

The solution is x = 2.