Solving Algebraic Equations

Front

What is an algebraic equation?

Back

An algebraic equation is a mathematical statement that asserts the equality of two expressions, which can include variables, constants, and mathematical operations.

Front

What does it mean to solve an algebraic equation?

Back

To solve an algebraic equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the first step in solving the equation 45 = 4x + x + 10?

Back

The first step is to combine like terms on the right side of the equation, resulting in 45 = 5x + 10.

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 to get the variable by itself.

Front

What is the solution to the equation 6(6v + 6) - 5 = 1 + 6v?

Back

The solution is v = -1.

Front

What is the process of checking your solution in an algebraic equation?

Back

To check your solution, substitute the value back into the original equation to see if both sides are equal.

Front

What is the solution to the equation x - 3 = 8?

Back

The solution is x = 11.

Front

What does it mean to have a variable on both sides of an equation?

Back

Having a variable on both sides means that you need to manipulate the equation to get all instances of the variable on one side to solve for it.

Front

What is the solution to the equation 115 = 12x - 5?

Back

The solution is x = 10.

Front

What is the importance of combining like terms in algebra?

Back

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