Variables on Both Sides of the Equation

Front

What is a variable in an equation?

Back

A symbol, often a letter, that represents an unknown value in an equation.

Front

What does it mean to solve an equation with variables on both sides?

Back

It means to find the value of the variable that makes both sides of the equation equal.

Front

What is the first step in solving the equation 14p - 8 = 22 + 20p?

Back

Combine like terms by moving all terms involving 'p' to one side of the equation.

Front

What is the solution to the equation 14p - 8 = 22 + 20p?

Back

p = -5.

Front

What does it mean if an equation has infinite solutions?

Back

It means that any value for the variable will satisfy the equation.

Front

What is the solution to the equation 3(x-4) = 3x - 12?

Back

Infinite solutions.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to get the variable alone on one side of the equation.

Front

What is the flat fee charged by Peppy Pets for dog care?

Back

$15.

Front

How do you set up an equation to compare two different pricing models?

Back

By equating the total costs from both models and solving for the variable.

Front

What is the total fee charged by Happy Hounds for dog care?

Back

$21 plus $1 per hour.