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 = 11?

Back

Subtract 3 from both sides to isolate the term with the variable.

Front

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

Back

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

Front

What is the solution to the equation 3x = 12?

Back

x = 4, because dividing both sides by 3 gives the value of x.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

What is a common mistake when solving linear equations?

Back

A common mistake is failing to combine like terms correctly, which can lead to an incorrect solution.

Front

How do you check if your solution to a linear 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 significance of the equal sign in an equation?

Back

The equal sign indicates that the expressions on both sides of the equation have the same value.

Front

What is the first step in solving the equation x - 15 = 2.5?

Back

Add 15 to both sides to isolate x.