Solve Linear Equations Step-by-Step

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when it is 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 for X?

Back

To solve for X means to find the value of the variable X that makes the equation true.

Front

What is the first step in solving the equation 3(x-2) = 12?

Back

The first step is to apply the distributive property: 3 * (x) - 3 * (2) = 12, which simplifies to 3x - 6 = 12.

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

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Front

What is the solution to the equation 2x + 3 = 11?

Back

The solution is x = 4.

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

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

Back

The solution is x = -5.

Front

What is the purpose of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation.

Front

What is the solution to the equation 4x = 20?

Back

The solution is x = 5.