In a basketball game, Elena scores twice as many points as...

Name: Problem 3, Chapter 4: Grade 8 Mathematics: Open Up Resources, Common Core State Standards Edition
Uploaded: 2021-12-26T01:46:28-08:00
Duration: 46 s
Channel: Erika Bustos
Description: In a basketball game, Elena scores twice as many points as Tyler. Tyler scores four points fewer than Noah, and Noah scores three times as many points as Mai. If Mai scores 5 points, how many points did Elena score? Explain your reasoning.

In a basketball game, Elena scores twice as many points as Tyler. Tyler scores four points fewer than Noah, and Noah scores three times as many points as Mai. If Mai scores 5 points, how many points did Elena score? Explain your reasoning.

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Solving Linear Equations

This key concept involves using algebraic techniques, such as substitution and the use of inverse operations, to isolate and solve for unknown variables in linear equations. It is a core skill necessary for finding numerical values based on the relationships established in the problem.

Proportional Reasoning

Proportional reasoning involves understanding and applying multiplicative relationships, such as one quantity being twice or three times another. Recognizing these ratios is essential for setting up equations correctly in problems where quantities relate by multiplication.

Transitive Relationships

This refers to the method of connecting multiple relationships together. When one variable depends on another, and that second variable depends on a third, transitive relationships allow you to substitute and eventually express all variables in terms of a single known quantity.

Algebraic Modeling

This concept involves assigning variables to unknown quantities and setting up equations based on the relationships described. It is a fundamental part of translating word problems into a processable form that can be manipulated using algebra.

Transcript

Please give Ace some feedback