Solve 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 is the solution to the equation 2x + 5 = 12?

Back

x = 3.5

Front

What is the first step to solve the equation 11 - 3x = 44?

Back

Subtract 11 from both sides.

Front

What operation cancels out addition?

Back

Subtraction.

Front

What is the solution to the equation 2(3x + 4) + 2 = 4 + 3x?

Back

x = -2.

Front

What is the definition of an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Front

Which operation will cancel out multiplication?

Back

Division.

Front

What does it mean to solve an equation?

Back

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

Front

What is the general form of a linear equation?

Back

The general form is ax + by = c, where a, b, and c are constants.