Expressions and Equations Word Problems

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

Define a variable in the context of equations.

Back

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

Front

What does the term 'expression' mean in mathematics?

Back

An expression is a combination of numbers, variables, and operators (such as +, -, *, /) that represents a value.

Front

What is the purpose of solving an equation?

Back

The purpose of solving an equation is to find the value(s) of the variable(s) that make the equation true.

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 it can be graphed as a straight line.

Front

How do you represent a relationship between two quantities using an equation?

Back

You can represent a relationship by defining one quantity in terms of another using an equation, such as y = mx + b.

Front

What is the formula for the area of a rectangle?

Back

The area (A) of a rectangle is calculated using the formula A = length (l) × width (w).

Front

How do you express a total cost that includes a fixed fee and a variable fee?

Back

You can express it as C = fixed fee + (variable fee rate × quantity used).

Front

What does it mean to 'increase' a quantity in an equation?

Back

To 'increase' a quantity means to add a certain amount to it, which can be represented as x + amount.

Front

What is the significance of coefficients in an equation?

Back

Coefficients are the numerical factors that multiply the variables in an equation, indicating how much of the variable is present.