Solving Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. 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 2x + 3 = 7?

Back

The first step is to subtract 3 from both sides of the equation to isolate the term with the variable.

Front

What is the solution to the equation 2x + 3 = 7?

Back

The solution is x = 2.

Front

What is the purpose of balancing an equation?

Back

The purpose of balancing an equation is to keep both sides equal while isolating the variable.

Front

What does the term 'variable' mean in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown number in an equation.

Front

What is the coefficient in the equation 3x + 4 = 10?

Back

The coefficient is the number in front of the variable, which is 3 in this case.

Front

How do you check if your solution to an equation is correct?

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

What is the solution to the equation x - 5 = 10?

Back

The solution is x = 15.

Front

What does it mean to isolate the variable?

Back

To isolate the variable means to get the variable alone on one side of the equation.