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 a linear 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(s) that make the equation true.

Front

What is the solution to the equation 3x + 6 = 21?

Back

x = 5

Front

How do you solve the equation -4x = 24?

Back

Divide both sides by -4 to isolate x: x = 24 / -4 = -6.

Front

What is the solution to the equation 5(2x - 7) = 80?

Back

x = 11.5

Front

How do you distribute in an equation?

Back

To distribute, multiply each term inside the parentheses by the term outside the parentheses.

Front

What is the solution to the equation 2(2x + 3) = -6(x + 9)?

Back

x = -6

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the solution to the equation -20 = -4x - 6x?

Back

x = 2