Solving Two-Step Equations (with fractions)

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 in solving a two-step equation?

Back

The first step is usually to eliminate any constant term from the side of the equation with the variable.

Front

What is the second step in solving a two-step equation?

Back

The second step is to divide or multiply to solve for the variable after isolating it.

Front

How do you handle fractions in two-step equations?

Back

You can eliminate fractions by multiplying both sides of the equation by the least common denominator.

Front

What does it mean to check your solution in an equation?

Back

Checking your solution means substituting the value back into the original equation to verify that both sides are equal.

Front

What is the solution to the equation 2x + 4 = 0?

Back

The solution is x = -2.

Front

How do you solve the equation 3/4x - 5 = 7?

Back

First, add 5 to both sides to get 3/4x = 12, then multiply both sides by 4/3 to find x = 16.

Front

What is the importance of understanding inverse operations?

Back

Understanding inverse operations is crucial for solving equations as it allows you to reverse the operations applied to the variable.

Front

What is a common mistake when solving two-step equations?

Back

A common mistake is to forget to apply the same operation to both sides of the equation.