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 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 3 - 5x = -9 + x?

Back

x = 2

Front

What is the solution to the equation -3(1 + 9x) - 7(-12x + 1) = 1 + 10x - 11 - 6x?

Back

x = 0

Front

What is the solution to the equation 4x - 40 = 7(-2x + 2)?

Back

x = 3

Front

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

Back

x = 2

Front

What is the solution to the equation -7x - 3x + 2 = -8x - 8?

Back

x = 5

Front

What is the distributive property?

Back

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

Front

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

Back

Subtract 5 from both sides to isolate the term with the variable: 3x = 15.