Distance and Absolute Value
Distance and Absolute Value is a skill on Pengi from Lesson 6: Functions as Models in Yoshiwara Intermediate Algebra.
Key Concepts
Property The distance between two points $x$ and $a$ is given by $|x a|$.
Examples The statement "$x$ is five units from the origin" can be written using absolute value notation as $|x| = 5$. The solutions are $x=5$ and $x= 5$. The statement "$p$ is two units from 7" can be written as $|p 7| = 2$. The solutions are $p=5$ and $p=9$. The statement "$a$ is within four units of $ 3$" can be written as $|a ( 3)| < 4$, which simplifies to $|a + 3| < 4$. This means $a$ is between $ 7$ and $1$.
Explanation Absolute value is a tool for measuring distance on a number line without worrying about direction. The expression $|x a|$ asks the question, "How far apart are $x$ and $a$?" The result is always a positive number.
Common Questions
What is Distance and Absolute Value?
Distance and Absolute Value is a skill on Pengi from Lesson 6: Functions as Models in Yoshiwara Intermediate Algebra.
What grade level is Distance and Absolute Value for?
Distance and Absolute Value is part of the Grade 7 Math curriculum, covered in Yoshiwara Intermediate Algebra. It is designed for students studying Math at the Grade 7 level.
How can I learn Distance and Absolute Value?
Pengi offers an AI-guided lesson for Distance and Absolute Value that walks you through the key concepts step by step. The lesson is aligned to Yoshiwara Intermediate Algebra so the content matches what you see in class.
How do I practice Distance and Absolute Value?
After learning the concept, use the Practice mode to work through targeted exercises on Distance and Absolute Value. The AI adapts to your level and gives feedback on each answer so you can identify and fix mistakes.
Which textbook covers Distance and Absolute Value?
Distance and Absolute Value is covered in Yoshiwara Intermediate Algebra, specifically in Chapter 5: Functions and Their Graphs under Lesson 6: Functions as Models. Pengi's lesson is aligned directly to this textbook so you can follow along with your class.
Is Distance and Absolute Value free to study on Pengi?
Yes, the core Learn and Practice modes for Distance and Absolute Value are available for free on Pengi. No credit card is required to start studying.