Solving Multi Step Equations

Front

What is a multi-step equation?

Back

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

Front

What is the first step in solving a multi-step equation?

Back

Distribution (If necessary) is often the first step to simplify the equation.

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

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 order of operations in solving multi-step equations?

Back

1. Distribute 2. Combine like terms 3. Move the variable to one side 4. Solve for the variable.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to move all terms involving the variable to one side and constants to the other.

Front

What is the solution to the equation 2x + 3(5x - 7) = 47?

Back

x = 4.

Front

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

Back

x = 1.

Front

What is the solution to the equation 8v - 4(v + 8) = 8?

Back

v = 10.

Front

What does it mean to move the variable to one side of the equation?

Back

It means to rearrange the equation so that all terms containing the variable are on one side, typically the left.