Multi Step Equations

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve. It often involves operations such as addition, subtraction, multiplication, and division.

Front

What is the first step in solving a multi-step equation?

Back

The first step is usually to simplify both sides of the equation by combining like terms or distributing.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Front

What is an inverse operation?

Back

An inverse operation is an operation that reverses the effect of another operation, such as addition and subtraction or multiplication and division.

Front

If 2x + 3 = 11, what is the value of x?

Back

x = 4.

Front

What does it mean to check your solution?

Back

Checking your solution means substituting your answer back into the original equation to verify that it makes the equation true.

Front

What is a coefficient in an equation?

Back

A coefficient is a numerical factor that multiplies a variable, such as in 3x, where 3 is the coefficient.

Front

What is a constant in an equation?

Back

A constant is a fixed value that does not change, such as the number 5 in the equation 2x + 5 = 10.