Even Numbers Study Guide
What is an Even Number?
An even number is a whole number that is exactly divisible by 2. In other words, when an even number is divided by 2, the remainder is 0.
Examples of Even Numbers
Some examples of even numbers are 2, 4, 6, 8, 10, 12, 14, 16, and so on. These numbers can be divided by 2 without leaving a remainder.
Properties of Even Numbers
- When you add two even numbers, the result is always an even number.
- When you multiply an even number by any other whole number, the result is always an even number.
- The sum of an even number and an odd number is always an odd number.
Identifying Even Numbers
To identify if a number is even, you can simply check if it is divisible by 2. If the remainder is 0, then the number is even.
Practice Problems
- Determine whether the following numbers are even: 14, 25, 36, 41, 50.
- Find the sum of the even numbers between 1 and 10.
- If 2x + 4 = 16, find the value of x.
Answers to Practice Problems
- 14 and 36 are even numbers.
- The sum of the even numbers between 1 and 10 is 30 (2 + 4 + 6 + 8 + 10 = 30).
- x = 6.
Conclusion
Understanding even numbers is essential in mathematics, as it forms the basis for various concepts such as divisibility, algebraic expressions, and number patterns. Practicing with even numbers can help build a solid foundation in mathematics.
.◂Math Worksheets and Study Guides Seventh Grade. Algebraic Equations
Study Guide
Algebraic Equations 
Activity Lesson
Algebraic Equations Worksheet/Answer key
Algebraic Equations Worksheet/Answer key
Algebraic Equations Worksheet/Answer key
Algebraic Equations Worksheet/Answer key
Algebra Skills Worksheet/Answer key
Algebraic Equations
Activity LessonWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyThe resources above cover the following skills:
Algebra (NCTM)
Use mathematical models to represent and understand quantitative relationships.
Model and solve contextualized problems using various representations, such as graphs, tables, and equations.
Grade 7 Curriculum Focal Points (NCTM)
Number and Operations and Algebra: Developing an understanding of operations on all rational numbers and solving linear equations
Students extend understandings of addition, subtraction, multiplication, and division, together with their properties, to all rational numbers, including negative integers. By applying properties of arithmetic and considering negative numbers in everyday contexts (e.g., situations of owing money or measuring elevations above and below sea level), students explain why the rules for adding, subtracting, multiplying, and dividing with negative numbers make sense. They use the arithmetic of rational numbers as they formulate and solve linear equations in one variable and use these equations to solve problems. Students make strategic choices of procedures to solve linear equations in one variable and implement them efficiently, understanding that when they use the properties of equality to express an equation in a new way, solutions that they obtain for the new equation also solve the original equation.