Multi Step Equations Flashcard

Front

What is a multi-step equation?

Back

An equation that requires more than one step to solve, often involving combining like terms, distributing, and isolating the variable.

Front

What does it mean if an equation has 'No Solution'?

Back

It means that there are no values for the variable that will satisfy the equation, often resulting in a contradiction.

Front

What is an example of an equation with 'Infinite Solutions'?

Back

An equation like 2x + 4 = 2(x + 2) has infinite solutions because both sides simplify to the same expression.

Front

How do you solve the equation 2x + 3 = 11?

Back

Subtract 3 from both sides to get 2x = 8, then divide by 2 to find x = 4.

Front

What is the first step in solving the equation 3(x - 2) = 12?

Back

Distribute the 3 to get 3x - 6 = 12.

Front

What does it mean if an equation has 'One Solution'?

Back

It means there is exactly one value for the variable that satisfies the equation.

Front

How do you isolate the variable in the equation 5x + 7 = 22?

Back

Subtract 7 from both sides to get 5x = 15, then divide by 5 to find x = 3.

Front

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

Back

Subtract 3x from both sides to get x - 5 = 2, then add 5 to find x = 7.

Front

What is the significance of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve.

Front

What does the equation 9y + 8 = 9y - 8 imply?

Back

It implies 'No Solution' because the variable terms cancel out, leaving a false statement (8 = -8).