Solving 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.

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 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 identify the variable in a word problem?

Back

The variable is usually the unknown quantity that you need to find, often represented by a letter like x.

Front

What is the first step in solving a word problem?

Back

The first step is to read the problem carefully and identify the information given and what is being asked.

Front

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

Back

Translate the words into a mathematical equation using variables to represent unknown quantities.

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter P of a rectangle is given by the formula P = 2(length + width).

Front

If a bike rental costs $16 plus $5 per hour, how do you express the total cost as an equation?

Back

Total cost = 16 + 5h, where h is the number of hours rented.

Front

In the equation 10 less than one third of Jason's age is 11, how do you express Jason's age?

Back

Let Jason's age be x. The equation is (1/3)x - 10 = 11.

Front

What is the relationship between length and width in the rectangle problem?

Back

The length is 4 meters more than the width, expressed as length = width + 4.