Solving Equations with variables on both sides

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is a variable in an equation?

Back

A variable is a symbol, often represented by letters like x or f, that stands for an unknown value in an equation.

Front

What is the first step in solving an equation with variables on both sides?

Back

The first step is to simplify both sides of the equation, if necessary, and then move all variable terms to one side and constant terms to the other.

Front

How do you isolate a variable in an 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 distribute in an equation?

Back

Distributing means to multiply a term outside the parentheses by each term inside the parentheses.

Front

Solve for x: 3x + 5 = 20

Back

x = 5

Front

Solve for f: f - 4 = 6f + 26

Back

f = -6

Front

Solve for x: 10x + 9 = 4x - 9

Back

x = -3

Front

What is the solution to the equation 2(x + 6) + 3 = 9 + 5x?

Back

x = 2