2 step equations

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to isolate the variable and solve for its value.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you 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 5x + 7 = 12?

Back

Subtract 7 from both sides to begin isolating the variable x.

Front

What is the solution to the equation 6n + 4 = -26?

Back

n = -5.

Front

How do you solve the equation 9n = 45?

Back

Divide both sides by 9 to isolate n, resulting in n = 5.

Front

What is the solution to the equation 9 + 3x = 10?

Back

x = 1/3.

Front

What operation would you perform to both sides of the equation 5x + 7 = 12 after subtracting 7?

Back

You would then divide both sides by 5 to solve for x.

Front

What does it mean to perform inverse operations in solving equations?

Back

Inverse operations are operations that undo each other, such as addition and subtraction or multiplication and division.

Front

What is the importance of maintaining balance in an equation?

Back

Maintaining balance ensures that both sides of the equation remain equal after performing operations.

Front

How can you check your solution for an equation?

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.