Transitive Property
The transitive property is a fundamental concept in mathematics that applies to equality and inequalities. It states that if a = b and b = c, then a = c. In other words, if two quantities are equal to a third quantity, then they are equal to each other.
Example:
If x = 3 and 3 = y, then x = y by the transitive property.
Study Guide:
To understand and apply the transitive property, follow these steps:
- Identify the given equalities or inequalities.
- Check if the given relations satisfy the transitive property (i.e., if a = b and b = c, then a = c).
- If the given relations satisfy the transitive property, use it to draw conclusions or solve problems.
Practice Problems:
1. Given a = 2, 2 = b, and b = c, use the transitive property to find the value of c.
2. If 3x + 5 = 14 and 14 = 2y, what can you conclude about the relationship between x and y using the transitive property?
.◂Math Worksheets and Study Guides Seventh Grade. Introduction to Probability
Study Guide
Introduction to Probability 
Worksheet/Answer key
Introduction to Probability Worksheet/Answer key
Introduction to Probability Worksheet/Answer key
Introduction to Probability Worksheet/Answer key
Introduction to Probability
Worksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyThe resources above cover the following skills:
Data Analysis and Probability (NCTM)
Understand and apply basic concepts of probability
Use proportionality and a basic understanding of probability to make and test conjectures about the results of experiments and simulations.
Connections to the Grade 7 Focal Points (NCTM)
Probability: Students understand that when all outcomes of an experiment are equally likely, the theoretical probability of an event is the fraction of outcomes in which the event occurs. Students use theoretical probability and proportions to make approximate predictions.