Solving and Writing 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 are variables in an equation?

Back

Variables are symbols (often letters) that represent unknown values in mathematical expressions or equations.

Front

What is the purpose of isolating a variable?

Back

Isolating a variable helps to find its value by getting it alone on one side of the equation.

Front

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

Back

It means that the equation contains variables on both the left and right sides, requiring manipulation to solve.

Front

How do you write an equation from a word problem?

Back

Identify the quantities involved, assign variables, and express the relationships using mathematical operations.

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 the variables to one side.

Front

What is the solution to the equation 7x = 4x + 33?

Back

The solution is x = 11.

Front

How do you determine when two linear expressions are equal?

Back

Set the two expressions equal to each other and solve for the variable.

Front

What is the equation for Celebrity A and Celebrity B's followers?

Back

400 + 75d = 1000 - 25d, where d is the number of days.