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 ax + b = c, where a, b, and c are constants.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable that make the equation true.

Front

What is the solution to the equation 7x + 19 = -2x + 55?

Back

The solution is x = 4.

Front

What is the solution to the equation 4x + 1 = 7x - 5?

Back

The solution is x = 2.

Front

What is the solution to the equation 3(x - 2) = 18?

Back

The solution is x = 8.

Front

What is the solution to the equation 8x + 2 + 3x + 5 = x + 12?

Back

The solution is x = 1/2.

Front

What is the solution to the equation 7x - 3x - 8 = 24?

Back

The solution is x = 8.

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

What is the first step in solving the equation 7x + 19 = -2x + 55?

Back

The first step is to combine like terms by adding 2x to both sides.