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- https://math.libretexts.org/Bookshelves/Algebra/Book%3A_Arithmetic_and_Algebra_(ElHitti_Bonanome_Carley_Tradler_and_Zhou)/02%3A_Appendices/2.04%3A_The_Pythagorean_TheoremThe Pythagorean Theorem relates the lengths of the legs of a right triangle and the hypotenuse.
- https://math.libretexts.org/Bookshelves/Algebra/Book%3A_Arithmetic_and_Algebra_(ElHitti_Bonanome_Carley_Tradler_and_Zhou)/zz%3A_Back_Matter
- https://math.libretexts.org/Bookshelves/Algebra/Book%3A_Arithmetic_and_Algebra_(ElHitti_Bonanome_Carley_Tradler_and_Zhou)/02%3A_Appendices
- https://math.libretexts.org/Bookshelves/Algebra/Book%3A_Arithmetic_and_Algebra_(ElHitti_Bonanome_Carley_Tradler_and_Zhou)/01%3A_Chapters/1.18%3A_Solving_Linear_Equationsx2−2x+1=0 is not a linear equation, since the variable x is to the second power. Following the example above, the solution is found (by subtracting 2x from both sides and subtracting ...x2−2x+1=0 is not a linear equation, since the variable x is to the second power. Following the example above, the solution is found (by subtracting 2x from both sides and subtracting 12 from both sides) to be x=1. Now, we can check if our work is correct by substituting x=1 in the original equation and seeing whether the RHS and LHS yield the same value:
- https://math.libretexts.org/Bookshelves/Algebra/Book%3A_Arithmetic_and_Algebra_(ElHitti_Bonanome_Carley_Tradler_and_Zhou)/00%3A_Front_Matter/02%3A_InfoPageThe LibreTexts libraries are Powered by NICE CXOne and are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the Californi...The LibreTexts libraries are Powered by NICE CXOne and are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot.
- https://math.libretexts.org/Courses/Queens_College/Preparing_for_Calculus_Bootcamp_(Gangaram)/01%3A_Day_1/1.03%3A_Rules_of_Exponents_and_RadicalsIf \boldsymbol{\sqrt[2]{a} = b ~~ \text{means} ~~ b^2 = a ~~\text{and} ~~ b \geq 0\nonumber\} then it makes sense to say \boldsymbol{\sqrt[4]{a} = b ~~ \text{means} ~~ b^4 = a \nonumber\} and \[ \sqrt[6]{a} = b ~~ ...If \boldsymbol{\sqrt[2]{a} = b ~~ \text{means} ~~ b^2 = a ~~\text{and} ~~ b \geq 0\nonumber\} then it makes sense to say \boldsymbol{\sqrt[4]{a} = b ~~ \text{means} ~~ b^4 = a \nonumber\} and \boldsymbol{\sqrt[6]{a} = b ~~ \text{means} ~~ b^6 = a ~~\text{and} ~~ b \geq 0\nonumber\} and so on.
- https://math.libretexts.org/Bookshelves/Algebra/Book%3A_Arithmetic_and_Algebra_(ElHitti_Bonanome_Carley_Tradler_and_Zhou)/01%3A_Chapters/1.08%3A_Scientific_NotationTo write 1 trillion (1 followed by 12 zeros) or 1 googol (1 followed by 100 zeroes) takes a lot of space and time. There is a mathematical scientific notation which is very useful for writing very big...To write 1 trillion (1 followed by 12 zeros) or 1 googol (1 followed by 100 zeroes) takes a lot of space and time. There is a mathematical scientific notation which is very useful for writing very big and very small numbers.
- https://math.libretexts.org/Bookshelves/Algebra/Book%3A_Arithmetic_and_Algebra_(ElHitti_Bonanome_Carley_Tradler_and_Zhou)/02%3A_Appendices/2.03%3A_Formulas_from_GeometryWe review some well-known formulas from planar geometry.
- https://math.libretexts.org/Bookshelves/Algebra/Book%3A_Arithmetic_and_Algebra_(ElHitti_Bonanome_Carley_Tradler_and_Zhou)/01%3A_Chapters/1.29%3A_Solving_a_System_of_Equations_AlgebraicallyHence, we get x=6. To find y, we substitute x=6 into the first equation of the system and solve for y (Note: We may substitute x=6 into either of the two original equations or the...Hence, we get x=6. To find y, we substitute x=6 into the first equation of the system and solve for y (Note: We may substitute x=6 into either of the two original equations or the equation y=7−x ): Hence x=10. Now substituting x=10 into the equation y=−3x+36 yields y=6, so the solution to the system of equations is x=10,y=6. The final step is left for the reader.
- https://math.libretexts.org/Bookshelves/Algebra/Book%3A_Arithmetic_and_Algebra_(ElHitti_Bonanome_Carley_Tradler_and_Zhou)/01%3A_Chapters/1.09%3A_PolynomialsA polynomial is a sum of monomials. A polynomial with one term is called a monomial. A polynomial with two terms is called a binomial. A polynomial with three terms is called a trinomial. It has three...A polynomial is a sum of monomials. A polynomial with one term is called a monomial. A polynomial with two terms is called a binomial. A polynomial with three terms is called a trinomial. It has three terms
- https://math.libretexts.org/Bookshelves/Algebra/Book%3A_Arithmetic_and_Algebra_(ElHitti_Bonanome_Carley_Tradler_and_Zhou)/01%3A_Chapters/1.07%3A_Properties_of_Exponents(x3)4=x3⋅x3⋅x3⋅x3=x⋅x⋅x⏟⋅x⋅x⋅x⋅⋅x⋅x⋅x⏟⋅x⋅x⋅x=x12 \(...(x3)4=x3⋅x3⋅x3⋅x3=x⋅x⋅x⏟⋅x⋅x⋅x⋅⋅x⋅x⋅x⏟⋅x⋅x⋅x=x12 (xy)5=xy⋅xy⋅xy⋅xy⋅xy=x⋅x⋅x⋅x⋅xy⋅y⋅y⋅y⋅y=x5y5
