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 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 \(\frac{x}{4} + 8 = 10\)?

Back

Subtract 8 from both sides to isolate the term with the variable.

Front

What is the solution to the equation \(2t - 7 = 3\)?

Back

The solution is t = 5.

Front

How do you check if your solution to a two-step 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 \(7k - 14 = 42\)?

Back

The solution is k = 8.

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

What is the second step to solve the equation \(13 = 5m - 2\)?

Back

Add 2 to both sides to isolate the term with the variable.

Front

What does it mean to 'combine like terms' in an equation?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is the solution to the equation \(\frac{x}{1} + 3 = 33\)?

Back

The solution is x = 30.