Multi Step Equations

Front

What is a multi-step equation?

Back

A multi-step 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 a multi-step equation?

Back

The first step is often to distribute any terms that are multiplied by parentheses.

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

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Front

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

Back

The solution is v = 10.

Front

What type of solution does x = 0.25 represent?

Back

It represents one solution.

Front

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

Back

The solution is x = 1.

Front

Which equation has no solution: 2x + 1 = 5x - 3 or 3(2x + 1) = 6x + 1?

Back

The equation 3(2x + 1) = 6x + 1 has no solution.

Front

What is the correct order of operations for solving multi-step equations?

Back

1. Distribute 2. Combine like terms 3. Get the variable on one side by adding or subtracting 4. Divide or multiply.

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions if it simplifies to a true statement, such as 0 = 0, meaning any value for the variable will satisfy the equation.