Multistep Equations

Front

What is a multistep equation?

Back

A multistep equation is an equation that requires more than one step to solve. It often involves combining like terms, using the distributive property, and isolating the variable.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

What is the first step in solving the equation 96=6(k+8)?

Back

The first step is to apply the distributive property: 96 = 6k + 48.

Front

How do you isolate a variable in an equation?

Back

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

Front

What is the solution to the equation 3y + 6 + 4y - 7 = -8?

Back

The solution is y = -1.

Front

What does it mean to solve for a variable?

Back

To solve for a variable means to find the value of that variable that makes the equation true.

Front

What is the solution to the equation 6 - 3a = 21?

Back

The solution is a = -5.

Front

What is the value of x in the equation x + 2 + 6 = 8?

Back

The value of x is 0.

Front

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

Back

Checking your solution ensures that the value you found satisfies the original equation.