Solving Multi-Step Equations (with Distributive Property)

Front

What is the goal of solving multi-step equations?

Back

Find the value of the variable.

Front

Which equation has no solution? 3(2x+1) = 6x+1

Back

This equation has no solution because it simplifies to a false statement.

Front

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

Back

It means that any value of the variable satisfies the equation.

Front

What is the first step in solving the equation 2 + 14a = -8 + 9a?

Back

Subtract 9a from both sides to isolate terms with 'a'.

Front

What is the solution to the equation 4(a + 3) = -32?

Back

The solution is a = -11.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac.

Front

How do you solve the equation 2(x - 7) = 2x - 14?

Back

This equation simplifies to 2x - 14 = 2x - 14, which has infinitely many solutions.

Front

What does it mean if an equation has one solution?

Back

It means there is a specific value for the variable that makes the equation true.

Front

What is the solution to the equation -3x + 1 = x + 9 - 4x?

Back

The solution is no solution, as it simplifies to a false statement.

Front

How do you apply the Distributive Property to the equation 3(2x + 1)?

Back

You multiply 3 by both 2x and 1 to get 6x + 3.