Two-Step Equations

Front

What is a two-step equation?

Back

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

Front

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

Back

To isolate a variable, perform the inverse operations in the reverse order of how they are applied.

Front

What is the first step to solve the equation 50 + 20m = 290?

Back

Subtract 50 from both sides to isolate the term with the variable.

Front

If 11 - 3x = 44, what is the first step to solve for x?

Back

Subtract 11 from both sides.

Front

What does it mean to find the unknown value in an equation?

Back

It means to determine the value of the variable that makes the equation true.

Front

What is the solution to the equation 4x + 7 = 23?

Back

x = 4.

Front

What operation would you perform to both sides of the equation 5b + 6 = 31 to solve for b?

Back

Subtract 6 from both sides.

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to undo the operations applied to the variable, allowing us to isolate it.

Front

How can 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 general form of a two-step equation?

Back

The general form is ax + b = c, where a, b, and c are constants.