Math Lab Solving Equations and Models

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 a letter, that stands for an unknown value in an equation or expression.

Front

What is the purpose of isolating the variable in an equation?

Back

Isolating the 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 2x + 3 = 11?

Back

The first step is to subtract 3 from both sides 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 the solution to the equation 3x - 5 = 10?

Back

x = 5.

Front

What does it mean for an equation to have no solution?

Back

An equation has no solution when there is no value for the variable that can satisfy the equation.

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 is the value of x in the equation 4x + 8 = 24?

Back

x = 4.