Linear equations with variables on both sides

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form ax + b = c, where a, b, and c are constants.

Front

What does it mean to have variables on both sides of an equation?

Back

It means that the variable (like x or n) appears on both sides of the equation, and you need to isolate the variable to solve for its value.

Front

How do you solve a linear equation with variables on both sides?

Back

1. Move all terms containing the variable to one side of the equation. 2. Move constant terms to the other side. 3. Simplify and solve for the variable.

Front

Solve for n: 9n - 6 = 5n + 18

Back

n = 6

Front

Solve for x: 3x + 5 = 9 + 1x

Back

x = 2

Front

Solve for x: 5x - 2 = 3x + 4

Back

x = 3

Front

Solve for x: 6x - 2 = 7 + 3x

Back

x = 3

Front

Solve for x: 7x = 4x + 15

Back

x = 5

Front

What is the first step in solving the equation 4x + 3 = 2x + 11?

Back

Subtract 2x from both sides to get 2x + 3 = 11.

Front

What is the importance of isolating the variable in an equation?

Back

Isolating the variable allows you to find its value, which is the solution to the equation.