Solve Multi-Step Equations Review

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 does it mean when an equation has no solution?

Back

It means that there is no value for the variable that can make the equation true.

Front

What does it mean when an equation has infinitely many solutions?

Back

It means that any value for the variable will satisfy the equation, making it true.

Front

What is the first step in solving the equation 4x + 1 = 8x - 3?

Back

Subtract 4x from both sides to begin isolating the variable.

Front

What is the solution to the equation 2x + 3 = 11?

Back

x = 4.

Front

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

Back

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

Front

What does it mean when an equation has one solution?

Back

Only one specific value for the variable will make the equation true.

Front

Solve: 3x - 5 = 7.

Back

x = 4.

Front

What is the importance of isolating the variable in an equation?

Back

Isolating the variable allows you to find its value more easily.

Front

What is the solution to the equation 5(x - 2) = 15?

Back

x = 5.