Solving Multi-Step Equations

Front

What is the first step in solving the equation: 5x + 7 = 12?

Back

Subtract 7 from both sides to isolate the term with x.

Front

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

Back

The solution is v = 10.

Front

What should you do first to solve the equation: 1 + 4n - 6n = 1 - 8n?

Back

Combine like terms: 4n - 6n = -2n.

Front

What operation did Jacob perform to go from Step 1 to Step 2 in solving 5x + 9 = 2x - 3?

Back

He subtracted 2x from both sides.

Front

What is the solution to the equation: 3(x-8)=3x-24?

Back

There are infinite solutions.

Front

What does it mean to isolate a variable in an equation?

Back

To isolate a variable means to get the variable alone on one side of the equation.

Front

What is a multi-step equation?

Back

A multi-step equation requires more than one operation to solve for the variable.

Front

What is the purpose of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac.

Front

How do you check your solution to an equation?

Back

Substitute the solution back into the original equation to see if both sides are equal.