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 does it mean if an equation has 'no solution'?

Back

An equation has 'no solution' when there are no values for the variable that can satisfy the equation.

Front

What does it mean if an equation has 'all real numbers' as a solution?

Back

It means that any real number can be a solution to the equation, indicating that the equation is true for all values of the variable.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Front

What is the first step in solving the equation 4(-8x + 5) = -32x - 26?

Back

The first step is to distribute the 4 on the left side of the equation.

Front

What is the solution to the equation 5x - 14 = 8x + 4?

Back

The solution is x = -6.

Front

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

Back

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

Front

What is the solution to the equation 2x + 1 = 2(x - 10)?

Back

The solution is 'no solution'.

Front

What is the importance of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve.

Front

What does it mean to 'distribute' in an equation?

Back

To distribute means to multiply a term outside the parentheses by each term inside the parentheses.