Writing and Solving Equations

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 y, that stands for an unknown value in an equation.

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 is the first step in solving the equation 2y + 10 = 28?

Back

The first step is to subtract 10 from both sides of the equation.

Front

What is the solution to the equation 2y + 10 = 28?

Back

The solution is y = 9.

Front

How do you write an equation for a word problem?

Back

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

Front

Write an equation for the following situation: A stadium has 18,000 seats, 7,500 are field seats, and the rest are grandstand seats.

Back

s + 7,500 = 18,000, where s is the number of grandstand seats.

Front

What equation represents the situation: Robyn had some video games, bought 4 more, and now has 10 games?

Back

v + 4 = 10, where v is the number of video games Robyn originally had.

Front

What is the solution to the equation -4x - 7 = -19?

Back

The solution is x = 3.