Equations and Applications Review

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

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

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform operations to both sides of the equation to get the variable alone on one side.

Front

What is the first step in solving the equation 6m - 17 = 8m - 31?

Back

The first step is to move all terms involving the variable to one side and constant terms to the other side.

Front

What does 'translate' mean in the context of equations?

Back

To translate means to convert a verbal statement into a mathematical equation.

Front

What is the sum of two numbers?

Back

The sum of two numbers is the result of adding them together.

Front

If the sum of two numbers is 91 and one number is 13 less than the other, how can you express this relationship?

Back

Let the larger number be x; then the smaller number can be expressed as x - 13.

Front

What is the solution to the equation 2x + 13 = -21?

Back

The solution is x = -17.

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.