Solving Multistep Equations

Front

What is a multistep equation?

Back

A multistep equation is an equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, and division.

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions if any value of the variable satisfies the equation, meaning the two sides of the equation are equivalent for all values.

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 the first step in solving the equation 14 + 3n = 5n - 6?

Back

The first step is to get all terms involving the variable on one side and constant terms on the other side.

Front

What is the solution to the equation 14 + 3n = 5n - 6?

Back

The solution is n = 10.

Front

How do you solve the equation -2a - 9 = 6a + 15?

Back

Combine like terms and isolate the variable to find a = -3.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there is no value for the variable that makes the equation true.

Front

What is the solution to the equation 11d + 10 = 6d?

Back

The solution is d = -2.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

How do you apply the distributive property to the equation 5(1 - n)?

Back

You distribute 5 to both terms: 5(1) - 5(n) = 5 - 5n.