Creating and Solving Equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more 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

How do you represent a word problem as an equation?

Back

Identify the quantities involved, assign variables to them, and translate the relationships described in the problem into a mathematical equation.

Front

What is a variable in mathematics?

Back

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

Front

What is a coefficient?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.

Front

What is the process of isolating a variable?

Back

Isolating a variable involves rearranging an equation to get the variable on one side and all other terms on the other side.

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

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

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables that are solved together.

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they maintain a constant ratio to each other.