Solving 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 of ax + b = 0, where a and b are constants.

Front

How do you isolate a variable in a linear equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation to get the variable by itself on one side.

Front

What does it mean to solve for x in an equation?

Back

Solving for x means finding the value of x that makes the equation true.

Front

What is the first step in solving the equation 9x - 3 = -14x + 20?

Back

The first step is to combine like terms by adding 14x to both sides and adding 3 to both sides.

Front

What is the solution to the equation -20 = \frac{x-3}{6}?

Back

The solution is x = -117.

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 distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Solve for c: -12c = 34 - 5(3c - 4). What is c?

Back

c = 18.

Front

What is the process of combining like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

What is the solution to the equation 9x - 15 = 4 + 13x - 3?

Back

The solution is x = -4.