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

How do you combine like terms in an equation?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable. For example, in 2m + 6m, you combine to get 8m.

Front

What is the first step in solving the equation 2m + 6m = 32?

Back

Combine like terms to simplify the equation to 8m = 32.

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 does it mean to distribute in an equation?

Back

Distributing means to multiply a term outside the parentheses by each term inside the parentheses.

Front

What is the result of distributing -2 in the equation -2(x + 4)?

Back

The result is -2x - 8.

Front

What does it mean to solve for x in an equation?

Back

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

Front

What is the solution to the equation 5x - 4 + 2x = 3?

Back

The solution is x = 1.

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 4 = 2(x + 3)?

Back

The solution is x = -1.