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

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean to solve for a variable?

Back

Solving for a variable means finding the value of that variable that makes the equation true.

Front

What is the first step in solving the equation 3x + 5 = 20?

Back

The first step is to subtract 5 from both sides to get 3x = 15.

Front

What is the solution to the equation 2x + 3 = 2x + 3?

Back

The solution is all real numbers, as both sides of the equation are identical.

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

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation -2x - 7 + 3x = 10?

Back

The solution is x = 17.

Front

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

Back

The solution is y = -1.

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 two or more terms inside a parenthesis.