Writing Equations from Word Problems 1

Front

What is a consecutive integer?

Back

A consecutive integer is an integer that follows another integer in order, with a difference of 1. For example, 5 and 6 are consecutive integers.

Front

How do you represent two consecutive integers algebraically?

Back

If x is the first integer, the second consecutive integer can be represented as x + 1.

Front

What is the equation for the sum of two consecutive integers?

Back

The equation is x + (x + 1) = sum.

Front

What does it mean for integers to be even?

Back

Even integers are integers that are divisible by 2 without a remainder. Examples include -4, -2, 0, 2, 4.

Front

How do you represent two consecutive even integers algebraically?

Back

If x is the first even integer, the second consecutive even integer can be represented as x + 2.

Front

What is the equation for the sum of two consecutive even integers?

Back

The equation is x + (x + 2) = sum.

Front

What is a word problem in mathematics?

Back

A word problem is a mathematical problem expressed in words, requiring the translation of the text into a mathematical equation.

Front

How do you identify variables in a word problem?

Back

Variables are typically represented by letters (like x or y) and are used to denote unknown quantities in the problem.

Front

What is the importance of defining variables in word problems?

Back

Defining variables helps to clarify what each letter represents, making it easier to set up and solve equations.

Front

What is the equation for a total cost that includes a fixed fee and a variable cost?

Back

The equation is y = fixed fee + (variable cost per unit * number of units).