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 inverse operations in the reverse order of operations used in the equation.

Front

What is the first step to solve the equation -4x + 1 = 21?

Back

Subtract 1 from both sides to get -4x = 20.

Front

What is the solution to the equation -6w + 1 = -11?

Back

The solution is w = 2.

Front

How do you solve the equation 6p - 5 = 13?

Back

Add 5 to both sides to get 6p = 18, then divide by 6 to find p = 3.

Front

What is the solution to the equation -2y = 20?

Back

The solution is y = -10.

Front

What is the first step to solve the equation 11 - 3x = 44?

Back

Subtract 11 from both sides to get -3x = 33.

Front

What does it mean to perform inverse operations?

Back

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

Front

What is the importance of checking your solution in a two-step equation?

Back

Checking your solution ensures that the value satisfies the original equation, confirming its correctness.

Front

How can you represent a two-step equation graphically?

Back

A two-step equation can be represented as a straight line on a graph, where the x-axis represents the variable and the y-axis represents the output.