Solving Equations (2step-x on both sides)

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 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 is the first step in solving the equation -11 + 3(b + 5) = 7?

Back

The first step is to simplify the equation by distributing the 3: -11 + 3b + 15 = 7.

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 and exponent.

Front

Solve for x: 4x + 3 = -5

Back

x = -2.

Front

What is the solution to the equation 7x - 3x - 8 = 24?

Back

x = 8.

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 7(2x - 4) = 42?

Back

x = 5.

Front

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

Back

It means that the variable appears in terms on both sides, requiring you to rearrange the equation to isolate 'x'.

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, helping to isolate it.