Front

What is a one-variable equation?

Back

A one-variable equation is an equation that contains only one variable, typically represented as 'x', and can be solved to find the value of that variable.

Front

What does it mean to distribute in an equation?

Back

Distributing in an equation means to multiply a term outside the parentheses by each term inside the parentheses.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step in solving the equation -11 + 3(b + 5) = 7?

Back

The first step is to distribute the 3 to both terms inside the parentheses, resulting in -11 + 3b + 15 = 7.

Front

What is the solution to the equation 9 + 3x = 10?

Back

The solution is x = 1/3.

Front

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

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

What is the solution to the equation -6 = \frac{2}{3}x?

Back

The solution is x = -9.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there is no value for the variable that makes the equation true.

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 is the solution to the equation 3x - 12 = 24?

Back

The solution is x = 12.