Multi Step Equations (one, many, no solution)

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 to distribute in an equation?

Back

To multiply a term outside of parentheses by each term inside the parentheses.

Front

Solve the equation: 2a - 4(a - 5) = 10

Back

a = 1

Front

What is the first step in solving the equation 5 - 2(x - 7) = x + 1 + 3x?

Back

Distributing -2 to (x - 7) is the first step.

Front

What does it mean if an equation has no solution?

Back

It means that there are no values for the variable that will satisfy the equation.

Front

Describe the solution set for the equation 2(x + 5) = 2x + 5.

Back

No solution.

Front

What is the solution to the equation 3x + 2(4x - 4) = 3?

Back

x = 1

Front

What is the importance of combining like terms in multi-step equations?

Back

It simplifies the equation, making it easier to solve.

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

What is the first step in solving the equation 4x + 3 = 2x + 15?

Back

Subtract 2x from both sides.