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 such as addition, subtraction, multiplication, and division.

Front

How do you isolate a variable in an equation?

Back

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

Front

What is the first step in solving the equation 4x + 10 = -26?

Back

The first step is to subtract 10 from both sides of the equation.

Front

What is the solution to the equation 5x - 14 = 8x + 4?

Back

The solution is x = -6.

Front

How do you combine like terms in an equation?

Back

You combine like terms by adding or subtracting the coefficients of terms that have the same variable.

Front

What is the solution to the equation 2m + 6m = 32?

Back

The solution is m = 4.

Front

What does it mean to check your solution in an equation?

Back

Checking your solution means substituting the value back into the original equation to verify that both sides are equal.

Front

How do you solve the equation 20 = 2 - a for a?

Back

To solve for a, you can add a to both sides and then subtract 20 from both sides, resulting in a = -18.

Front

What is the importance of maintaining balance in an equation?

Back

Maintaining balance means that whatever operation you perform on one side of the equation must also be performed on the other side to keep the equation true.

Front

What is the result of solving the equation 29 = x + 5?

Back

The result is x = 24.