Linear equations in 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 solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations (addition, subtraction, multiplication, division).

Front

What does it mean to isolate a variable?

Back

Isolating a variable means to manipulate the equation so that the variable is alone on one side, making it easy to find its value.

Front

What is the solution of the equation 3x - 4 - 5x = x + 4 + x?

Back

The solution is x = -2.

Front

If 2x + 4 = x - 5, what is the value of x?

Back

The value of x is -9.

Front

What is the solution of the equation 2y + 9 = 4?

Back

The solution is y = -5/2.

Front

How do you solve the equation -12y = 108?

Back

Divide both sides by -12 to get y = -9.

Front

What is the solution of the equation ¾ x = 27?

Back

The solution is x = 36.

Front

What is the first step in solving the equation 3x + 5 = 20?

Back

Subtract 5 from both sides to isolate the term with x.

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.