2-Step Equations

Front

What is a 2-step equation?

Back

A 2-step equation is an algebraic equation that requires two operations to isolate the variable. It typically involves addition or subtraction followed by multiplication or division.

Front

How do you isolate a variable in a 2-step equation?

Back

To isolate a variable in a 2-step equation, perform the inverse operations in the reverse order of operations: first, eliminate the constant term by adding or subtracting, then eliminate the coefficient by multiplying or dividing.

Front

What is the first step to solve the equation 14 = 6x - 4?

Back

The first step is to add 4 to both sides of the equation to eliminate the constant term: 14 + 4 = 6x.

Front

What is the solution to the equation 3x - 7 = -16?

Back

The solution is x = -3. First, add 7 to both sides to get 3x = -9, then divide by 3.

Front

What does it mean to check your solution in a 2-step equation?

Back

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

Front

How do you solve the equation 2x + 6 = 18?

Back

First, subtract 6 from both sides to get 2x = 12, then divide by 2 to find x = 6.

Front

What is the solution to the equation 12 = 5x + 17?

Back

The solution is x = -1. First, subtract 17 from both sides to get -5 = 5x, then divide by 5.

Front

What is the final step in solving the equation 4x - 5 = 11?

Back

The final step is to add 5 to both sides to get 4x = 16, then divide by 4 to find x = 4.

Front

What is the importance of understanding inverse operations in solving equations?

Back

Understanding inverse operations is crucial because it allows you to effectively isolate the variable and solve the equation step by step.

Front

What is a common mistake when solving 2-step equations?

Back

A common mistake is to perform the operations in the wrong order or to forget to apply the same operation to both sides of the equation.