Types of Solutions

Front

What is a solution in the context of algebraic equations?

Back

A solution is a value or set of values that satisfy an equation, making it true when substituted into the equation.

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 -1 + 2x = 6x + 11?

Back

The first step is to move all terms involving x to one side and constant terms to the other side.

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 1 + 8x + 9 = -20 + 2x?

Back

The solution is x = -5.

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the value satisfies the original equation, confirming its correctness.

Front

What is the process of solving the equation 5 - 6x = 17 - 8x?

Back

The process involves isolating x by moving terms involving x to one side and constant terms to the other side.

Front

What does it mean for an equation to be balanced?

Back

An equation is balanced when both sides are equal, meaning the same value can be obtained from both sides.

Front

What is the significance of the equal sign in an equation?

Back

The equal sign indicates that the expressions on both sides of it have the same value.

Front

How can you verify the solution of an equation?

Back

You can verify the solution by substituting it back into the original equation to see if both sides are equal.