Solving 2 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 reverse order: first eliminate the constant term, then the coefficient of the variable.

Front

What is the first step to solve the equation 3c + 5 = 23?

Back

Subtract 5 from both sides of the equation to isolate the term with the variable.

Front

What is the solution to the equation 15 = 2a + 7?

Back

The solution is a = 4.

Front

How do you write an equation based on a word problem?

Back

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

Front

What does the equation 331 = 6x + 7 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 is the solution to the equation -5t + 9 = 24?

Back

The solution is t = -3.

Front

What is the process to solve the equation -3x + 5 = -16?

Back

First, subtract 5 from both sides, then divide by -3 to isolate x.

Front

What is the importance of checking your solution in an equation?

Back

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

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.