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 expressed 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 rearranging the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the solution of the equation 9x - 9 = 5x + 19?

Back

x = 7

Front

What is the solution of the equation -12y = 108?

Back

y = -9

Front

What is the solution of the equation 12 - 5(x - 7) = 2x + 12?

Back

x = 5

Front

What is the solution of the equation 8(3x - 5) = 9x + 5?

Back

x = 3

Front

What is the solution of the equation -k = 357?

Back

k = -357

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Front

What is the purpose of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve for the variable.