Solving Single Variable Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one. It can be written in the form ax + b = c, where a, b, and c are constants.

Front

What does it mean to solve a linear equation?

Back

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

Front

What is the first step in solving the equation 4(x - 9) - (x - 12) = 2x - 15?

Back

Distribute the 4 to (x - 9) and simplify both sides of the equation.

Front

What is the solution to the equation x - 15 = -19?

Back

x = -4.

Front

How do you isolate the variable in the equation 2x - 3(x + 4) = -5?

Back

First, distribute -3 to (x + 4), then combine like terms and isolate x.

Front

What is the solution to the equation 9x - 9 = 5x + 19?

Back

x = 7.

Front

What is the purpose of combining like terms in an equation?

Back

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

Front

What does it mean to check your solution after solving an equation?

Back

Checking your solution means substituting the value back into the original equation to verify that both sides are equal.

Front

What is the solution to the equation 12 - 5(x - 7) = 2x + 12?

Back

x = 5.

Front

What is the importance of maintaining balance when solving equations?

Back

Maintaining balance means performing the same operation on both sides of the equation to keep it true.