Solving Multi-step Equations

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

Front

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

Back

The first step cannot be performing 5 - 2.

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

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

Back

The solution is x = 1.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values for the variable that make the equation true.

Front

What is the solution to the equation 4 - 6x - 2 = -2(3x - 1)?

Back

The solution is infinitely many solutions.

Front

What is the significance of the distributive property in solving equations?

Back

The distributive property allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

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

Back

An equation has infinitely many solutions if any value for the variable satisfies the equation.

Front

What is the solution to the equation 3(3x - 6) = 18?

Back

The solution is x = 4.

Front

What is the first step to solve the equation 2(x + 5) = 2x + 5?

Back

The equation simplifies to 0 = 5, which indicates no solution.