What is Algebra i: Definition and 74 Discussions

In contemporary education, mathematics education is the practice of teaching and learning mathematics, along with the associated scholarly research
Researchers in mathematics education are primarily concerned with the tools, methods and approaches that facilitate practice or the study of practice; however, mathematics education research, known on the continent of Europe as the didactics or pedagogy of mathematics, has developed into an extensive field of study, with its concepts, theories, methods, national and international organisations, conferences and literature. This article describes some of the history, influences and recent controversies.

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  1. Dependent and independent variables exercise: graphing the equation | Algebra I | Khan Academy

    Dependent and independent variables exercise: graphing the equation | Algebra I | Khan Academy

    It's helpful to express an equation on a graph where we plot at least 2 points. Watch and we'll show you. Practice this lesson yourself on KhanAcademy.org ri...
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  2. Dependent and independent variables exercise: express the graph as an equation | Khan Academy

    Dependent and independent variables exercise: express the graph as an equation | Khan Academy

    We're flipping the last video on its head and doing the opposite. This time we give you the graph and ask you to express it as an equation. Practice this les...
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  3. Combining like terms introduction | Introduction to algebra | Algebra I | Khan Academy

    Combining like terms introduction | Introduction to algebra | Algebra I | Khan Academy

    In simple addition we learned to add all the numbers together to get a sum. In algebra, numbers are sometimes attached to variables and we need to make sure ...
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  4. How to simplify an expression by combining like terms and the distributive property | Khan Academy - YouTube

    How to simplify an expression by combining like terms and the distributive property | Khan Academy - YouTube

    We've learned about order of operations and combining like terms. Let's layer the distributive property on top of this. Practice this lesson yourself on Khan...
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  5. Combining like terms, but more complicated | Introduction to algebra | Algebra I | Khan Academy

    Combining like terms, but more complicated | Introduction to algebra | Algebra I | Khan Academy

    This example of combining like terms in an expression gets a little hairy. Listen closely. Practice this lesson yourself on KhanAcademy.org right now: https:...
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  6. Examples of simplifying expressions involving rational numbers |7th grade | Khan Academy

    Examples of simplifying expressions involving rational numbers |7th grade | Khan Academy

    Learn how to simplify algebraic expressions by combining like terms. The expressions in this video have decimal and fraction coefficients. Practice this less...
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  7. How to find equivalent expressions by combining like terms and using the distributive property

    How to find equivalent expressions by combining like terms and using the distributive property

    "Equivalent algebraic expressions exercise Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/c...
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    • algebra i expressions khan academy sal khan
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  8. Interpreting linear expressions, 1 | Introduction to algebra | Algebra I | Khan Academy

    Interpreting linear expressions, 1 | Introduction to algebra | Algebra I | Khan Academy

    We match the expressions to their meaning in this example. We're reinforcing our knowledge of linear expressions. Practice this lesson yourself on KhanAcadem...
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  9. Interpreting linear expressions, 2 | Introduction to algebra | Algebra I | Khan Academy

    Interpreting linear expressions, 2 | Introduction to algebra | Algebra I | Khan Academy

    Let's practice matching expressions to their meaning in this example of interpreting linear expressions. Practice this lesson yourself on KhanAcademy.org rig...
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  10. Why dividing by zero is undefined | Functions and their graphs | Algebra II | Khan Academy

    Why dividing by zero is undefined | Functions and their graphs | Algebra II | Khan Academy

    Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/undefined_indeterminate/v/why-zero-divided-by-zero-is-undefined-indeter...
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  11. Why zero divided by zero is undefined/indeterminate | Algebra II | Khan Academy - YouTube

    Why zero divided by zero is undefined/indeterminate | Algebra II | Khan Academy - YouTube

    Multiple arguments for what we could get when we divide zero by zero. We will later see that this can be considered indeterminate Watch the next lesson: http...
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  12. Origins of algebra | Introduction to algebra | Algebra I | Khan Academy

    Origins of algebra | Introduction to algebra | Algebra I | Khan Academy

    Where did the word "Algebra" and its underlying ideas come from? Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/over...
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  13. B

    Should I take Combinatorics with Analysis I or Algebra I?

    Hello! On this Fall Semester, I will be taking the Linear Algebra with Proofs (Friedberg), Analysis I (Rudin-PMA) or Abstract Algebra I (Dummit/Foote), and Combinatorics (Brualdi). Since I can take only one from Analysis I or AAI on Fall, I am trying to figure out if the introductory...
  14. M

    How useful was Linear Algebra II after Linear Algebra I?

    I am a Physics major looking into Mathematical Biology (perhaps) in the future, and regardless of where I go, I'm trying to build a solid math background for myself. I've taken (or plan to take): Linear Algebra I Calculus I, II, III, IV ODE Non-linear ODE PDE Complex Variables (I will...
  15. Physics-UG

    Linear Algebra 1: Seeking Advice for Midterm Recovery

    Hey guys, I'm hoping to get some advice on how to approach this course I'm currently enrolled in. I'm currently enrolled in linear algebra 1, while I think they're pretty generic for outlines, this is what my school says: Before the midterm I was doing the assignments and, for the most part...
  16. Greg Bernhardt

    Algebra Is Basic Algebra I by Nathan Jacobson Suitable for Self-Study?

    Author: Nathan Jacobson Title: Basic Algebra I Amazon Link: https://www.amazon.com/dp/0486471896/?tag=pfamazon01-20 Prerequisities: Contents:
  17. C

    Can Linear Independence Affect Pivot Positions in Matrix Columns?

    Homework Statement So the question is, Prove the following: Let A be an n x n matrix. If there exists a vector v in Rn that is not a linear combination of the columns of A, then at least one column of A is not a pivot column. Homework Equations The only relevant theorem I think is the...
  18. dbmorpher

    Odd Challenge Question in Algebra I Book

    Homework Statement An even integer can be written as the expression 2n. Find three consecutive even integers with a sum of 54. Homework Equations None, this was a challenge question. The Attempt at a Solution I got that the sum of the digits in 104 (2*52) equals 54 but cannot see...
  19. Dembadon

    Linear Algebra I: Orthogonal Matrix Condition

    I would like to check my reasoning for this problem to make sure I understand what an orthogonal matrix is. Homework Statement Determine if the matrix is orthogonal. If orthogonal, find the inverse. \begin{pmatrix} -1 & 2 & 2\\ 2 & -1 & 2\\ 2 & 2 & -1 \end{pmatrix} Homework...
  20. T

    Algebra I Self-Study Book for Physics Students

    I need a book to self-study, because in Physics we don't have this discipline. The only mathematics I learned were linear algebra and calculus for multivariate functions. The things I need to know are (these is my university's Algebra I): - Integers - Groups, rings and fields - Polynomials'...
  21. M

    A few areas of algebra I don't understand

    As I mentioned in another post I'm trying to keep up with my math class and since I didn't finish high school there's some things I have to learn on my own. Heres a few things that I didn't figure out in the class. This is in chronological order, things are gradually getting more complex so I'd...
  22. R

    Draw Lattice Diagram for K: Solving Algebra I Mapping Homework

    Homework Statement K = {x C S7 | 2x=2, {1,4}x={1,4}, {1,5,7}x={1,5,7}}. Draw Lattice Diagram for K.2. The attempt at a solution I've looked at this for about 30 minutes and came to the conclusion that there are 140 unique solutions to this mapping, and I know for a fact that the professor...
  23. H

    This is from a Diff EQ but but its just algebra i think?

    this is from a Diff EQ but but its just algebra i think?? I'm just working through an example here and its say to solve the equation (y/k)=(ynot/k)/((ynot/k)-[1(ynot/k]e^(-rt)) for t. then in the next line it shows it solved for e^(-rt)={(ynot/k)(1-(y/k)}/{(y/k)(1-(ynot/k)} now i have...
  24. S

    Which Math Course to Choose for a Physics Major: Algebra I or Linear Algebra I?

    Perhaps this belongs better in the career guidance forum (in which case, please move it moderator) but I thought it would be more specific to this forum. I'm planning to study physics at the university level sometime in the future. My plan is to work on the first year math credits first, to...
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