Equations and Word Problems

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing 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 using parentheses in equations?

Back

Parentheses indicate which operations should be performed first in an equation, following the order of operations.

Front

How do you isolate a variable in an equation?

Back

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

Front

What is a word problem in mathematics?

Back

A word problem is a mathematical problem that is presented in the form of a narrative or real-life scenario.

Front

How do you translate a word problem into an equation?

Back

Identify key information and relationships in the problem, then express them using mathematical symbols and variables.

Front

What does 'two times a number' mean in an equation?

Back

It means to multiply the variable representing the number by 2, often written as 2x.

Front

What is the formula to calculate a percentage discount?

Back

The formula is: Discount = Original Price × Discount Rate.

Front

How do you find the cost per item when given the total cost and quantity?

Back

Divide the total cost by the number of items: Cost per item = Total Cost / Quantity.