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

What is the first step in solving the equation 2(x + 3) = 12?

Back

The first step is to distribute the 2 to both terms inside the parentheses, resulting in 2x + 6 = 12.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to move all terms involving the variable to one side of the equation and constant terms to the other side.

Front

What does it mean to 'combine like terms'?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is the solution to the equation x + 5 = 12?

Back

The solution is x = 7.

Front

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

Back

You can check your solution by substituting it back into the original equation to see if both sides are equal.

Front

What is the purpose of distributing in an equation?

Back

Distributing is used to eliminate parentheses by multiplying the term outside the parentheses by each term inside.

Front

What is the result of solving the equation 3x - 9 = 0?

Back

The result is x = 3.

Front

What is the importance of maintaining balance in an equation?

Back

Maintaining balance in an equation is crucial because whatever operation you perform on one side must also be performed on the other side to keep the equation true.

Front

What does it mean to have a variable on both sides of an equation?

Back

Having a variable on both sides means that you need to rearrange the equation to get all variables on one side and constants on the other.