Writing Equations

Front

What is an equation?

Back

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

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 mathematics?

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value in an equation.

Front

What is a constant in an equation?

Back

A constant is a fixed value that does not change, represented by a number in an equation.

Front

What is the purpose of isolating a variable?

Back

Isolating a variable helps to solve the equation by getting the variable alone on one side of the equation.

Front

How do you check if your solution to an equation is correct?

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one and graphs as a straight line.

Front

What does it mean to have a solution set?

Back

A solution set is the collection of all possible solutions that satisfy an equation.

Front

What is the difference between an equation and an expression?

Back

An equation contains an equal sign and asserts that two expressions are equal, while an expression does not have an equal sign and represents a value.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.