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

Identify and simplify any expressions on both sides of 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 the distributive property in solving equations?

Back

The distributive property allows you to multiply a single term by each term inside a set of parentheses.

Front

How do you isolate a variable in an equation?

Back

You isolate a variable by performing 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

v = 10.

Front

Is 7 a solution to the equation 3x + 8 - x = 5x - 4?

Back

No, 7 is not a solution.

Front

What is the second step in solving multi-step equations?

Back

Combine like terms.

Front

What is the correct order of operations when 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 is the solution to the equation: 2x + 3(5x - 7) = 47?

Back

x = 4.