Two-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 a two-step equation?

Back

To isolate a variable in a two-step equation, perform the inverse operations in the reverse order of how they are applied to the variable.

Front

What is the first step to solve the equation 3x - 7 = 32?

Back

The first step is to add 7 to both sides of the equation.

Front

What is the solution to the equation 7p + 9 = 40.5?

Back

The solution is p = 4.5.

Front

How can you represent a word problem as an equation?

Back

Identify the quantities involved, define variables for unknowns, and translate the relationships into an algebraic equation.

Front

What does the equation 6x + 7 = 331 represent in a word problem?

Back

It represents the total number of students on a field trip, where x is the number of students per bus.

Front

What operation would you perform to solve the equation x - 62 = 123?

Back

You would add 62 to both sides of the equation.

Front

What is a tape diagram and how is it used in solving equations?

Back

A tape diagram is a visual representation that helps to illustrate the relationships between quantities in a problem, making it easier to set up equations.

Front

What is the importance of checking your solution after solving an equation?

Back

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

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.