makeup 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 a letter, that represents an unknown value in an equation or expression.

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 3n + 4 = 7?

Back

Subtract 4 from both sides to isolate the term with the variable: 3n = 3.

Front

How do you check if your 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 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 'm' typically represent in equations?

Back

In equations, 'm' often represents a variable, commonly used to denote a quantity that can change.

Front

How can you represent a real-world situation with an equation?

Back

You can create an equation by identifying the quantities involved and their relationships, such as costs, rates, or totals.

Front

What is the equation for Jim's gym membership fee?

Back

The equation is 50 + 20m = 290, where 50 is the initial fee and 20m represents the monthly fee over m months.