Model and Solve 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 2x + 3 = 11?

Back

Subtract 3 from both sides to get 2x = 8.

Front

What is the second step to solve the equation 2x = 8?

Back

Divide both sides by 2 to get x = 4.

Front

What does it mean to 'balance' an equation?

Back

Balancing an equation means keeping both sides equal by performing the same operation on both sides.

Front

What is the solution to the equation 3x - 5 = 10?

Back

x = 5.

Front

How do you check if your solution to an 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 -2x + 4 = -1?

Back

x = 2.5.

Front

What is the purpose of using models in solving equations?

Back

Models help visualize the problem and understand the relationship between variables.

Front

What is the solution to the equation represented by the model: 5x = 25?

Back

x = 5.