Multi-step Equations

Front

What is a multi-step equation?

Back

An equation that requires more than one step to solve, often involving combining like terms, using the distributive property, and isolating the variable.

Front

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

Back

Identify and simplify any like terms on both sides of the equation.

Front

What does it mean if an equation has no solution?

Back

It means that there is no value for the variable that can satisfy the equation, often resulting in a contradiction.

Front

What is the solution to the equation 2x + 1 = 5x - 3?

Back

x = 4/3.

Front

What is the solution to the equation 2(x - 7) = 2x - 14?

Back

This equation has infinitely many solutions.

Front

What is the solution to the equation 3(2x + 1) = 6x + 1?

Back

This equation has no solution.

Front

What is the solution to the equation 15x - 30 = 0?

Back

x = 2.

Front

What is the goal of solving multi-step equations?

Back

To find the value of the variable.

Front

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

Back

It means that any value for the variable will satisfy the equation.

Front

Solve the equation: 4x - 5x + 9 = 5x - 9.

Back

x = 3.