Linear equations (one variable)

Front

What is a linear equation in one variable?

Back

A linear equation in one variable is an equation that can be written in the form ax + b = 0, where a and b are constants and x is the variable.

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 a linear equation?

Back

Solving a linear equation means finding the value of the variable that makes the equation true.

Front

What is the solution to the equation 3x + 5 = -3x + 17?

Back

x = 2

Front

What is the solution to the equation -7 + 3n - 7 + 5n = 3 + 4n + 7?

Back

n = 6

Front

What is the solution to the equation 80 - 3k = 5k + 8?

Back

k = 9

Front

What is the solution to the equation 8d + 24 = 4(4d - 2)?

Back

d = 4

Front

What is the solution to the equation 3(x - 4) = 2(x + 1) - 5?

Back

x = 9

Front

What is the first step in solving the equation 2x + 3 = 11?

Back

Subtract 3 from both sides to isolate the term with the variable.

Front

What is the definition of a coefficient in a linear equation?

Back

A coefficient is a numerical factor that multiplies a variable in an equation.