Solving Basic Algebraic Equations

Front

What is an algebraic equation?

Back

An algebraic equation is a mathematical statement that shows the equality of two expressions, typically involving variables and constants.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

What is the first step in solving the equation x + 12 = 20?

Back

Subtract 12 from both sides of the equation.

Front

What is the solution to the equation x + 12 = 20?

Back

x = 8.

Front

How do you isolate a variable in an equation?

Back

You perform inverse operations to both sides of the equation to get the variable by itself.

Front

What is the solution to the equation 9x = 153?

Back

x = 17.

Front

What is the principle of balancing equations?

Back

The principle states that you can perform the same operation on both sides of an equation without changing its equality.

Front

What is the solution to the equation 7x = 3x + 24?

Back

x = 6.

Front

How do you combine like terms in an equation?

Back

You add or subtract the coefficients of the same variable.

Front

What is the solution to the equation 2x - 3 + 4x = 27?

Back

x = 5.