Solving Equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Front

What does it mean to solve an equation?

Back

To solve an 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 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

What is a variable in mathematics?

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value.

Front

What does the term 'like terms' mean?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.

Front

How do you combine like terms in the equation 4x + 5x = 27?

Back

Add the coefficients of like terms: 4x + 5x = 9x.

Front

What is the next step after combining like terms in 4x + 5x = 27?

Back

Divide both sides by 9 to isolate x.

Front

What is the solution to the equation 4x + 5x = 27?

Back

x = 3.

Front

What is the purpose of isolating the variable in an equation?

Back

Isolating the variable allows you to find its value by getting it alone on one side of the equation.