Finding Two Numbers Equation Word Problems

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 story, requiring the reader to extract relevant information and formulate an equation to solve it.

Front

Define the term '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 it mean to 'solve for a variable'?

Back

To solve for a variable means to find the value of that variable that makes the equation true.

Front

What is the perimeter of a rectangle?

Back

The perimeter of a rectangle is the total distance around the rectangle, calculated as P = 2(length + width).

Front

How do you set up an equation from a word problem?

Back

Identify the unknowns, define variables for them, translate the relationships and conditions described in the problem into mathematical expressions, and then form an equation.

Front

What is the relationship between the highest and lowest scores in a word problem?

Back

The relationship can often be expressed as an equation where the highest score is a certain amount more than the lowest score.

Front

How do you find the dimensions of a rectangle given its perimeter?

Back

Use the perimeter formula to express one dimension in terms of the other, then substitute and solve the resulting equation.

Front

What does 'the difference of two numbers' mean?

Back

It refers to the result of subtracting one number from another.

Front

How can you represent a situation where one number is a certain amount more than another?

Back

You can represent it with an equation, such as x + amount = y, where x is the smaller number and y is the larger number.

Front

What is the first step in solving a two-variable equation?

Back

The first step is to isolate one variable on one side of the equation.