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- https://math.libretexts.org/Bookshelves/Algebra/Elementary_Algebra_(LibreTexts)/zz%3A_Back_Matter/20%3A_GlossaryGiven any real numbers a, b, and c, a ( b + c ) = a b + a c or ( b + c ) a = b a + c a . The trinomials obtained by squaring the binomials ( a + b ) 2 = a 2 + 2 a b + b 2 and ( a − b ) 2 = a 2 − 2 a b...Given any real numbers a, b, and c, a ( b + c ) = a b + a c or ( b + c ) a = b a + c a . The trinomials obtained by squaring the binomials ( a + b ) 2 = a 2 + 2 a b + b 2 and ( a − b ) 2 = a 2 − 2 a b + b 2 . The formula x = − b ± b 2 − 4 a c 2 a , which gives the solutions to any quadratic equation in the form a x 2 + b x + c = 0 , where a, b, and c are real numbers and a ≠ 0 .
- https://math.libretexts.org/Bookshelves/Algebra/Elementary_Algebra_(LibreTexts)/06%3A_Factoring_and_Solving_by_Factoring/6.0E%3A_6.E%3A_Review_Exercises_and_Sample_ExamA \(20\)-foot ladder leaning against a wall reaches a height that is \(4\) feet more than the distance from the wall to the base of the ladder. The height of an object dropped from the top of a \(196\...A \(20\)-foot ladder leaning against a wall reaches a height that is \(4\) feet more than the distance from the wall to the base of the ladder. The height of an object dropped from the top of a \(196\)-foot building is given by \(h(t)=−16t^{2}+196\), where \(t\) represents the number of seconds after the object has been released. If the area of the triangle is \(80\) square centimeters, then find the measure of the base.
- https://math.libretexts.org/Bookshelves/Algebra/Elementary_Algebra_(LibreTexts)/01%3A_Real_Numbers_and_Their_Operations/1.04%3A_FractionsA fraction is a real number written as a quotient, or ratio, of two integers a and b , where b≠0 .
- https://math.libretexts.org/Bookshelves/Algebra/Elementary_Algebra_(LibreTexts)/00%3A_Front_Matter
- https://math.libretexts.org/Bookshelves/Algebra/Elementary_Algebra_(LibreTexts)/09%3A_Solving_Quadratic_Equations_and_Graphing_Parabolas/9.04%3A_Guidelines_for_Solving_Quadratic_Equations_and_ApplicationsIf the base is 4 feet more than 2 times the height, then find the length of the base and the height. If the base is 4 meters less than the height, then find the length of the base and the height. If t...If the base is 4 feet more than 2 times the height, then find the length of the base and the height. If the base is 4 meters less than the height, then find the length of the base and the height. If the total area of the garden, including the border, is to be 100 square feet, then find the width of the brick border. If $1,200 is invested in an account earning an annual interest rate r, then the amount A that is in the account at the end of 2 years is given by the formula \(A=1,200(1+r)^{2}\).
- https://math.libretexts.org/Bookshelves/Algebra/Elementary_Algebra_(LibreTexts)/00%3A_Front_Matter/01%3A_TitlePageElementary Algebra LibreTexts
- https://math.libretexts.org/Bookshelves/Algebra/Elementary_Algebra_(LibreTexts)/08%3A_Radical_Expressions_and_Equations
- https://math.libretexts.org/Bookshelves/Algebra/Elementary_Algebra_(LibreTexts)/04%3A_Solving_Linear_Systems/4.01%3A_Solving_Linear_Systems_by_GraphingOther resources may express this set using set notation, \(\{(x, y) | y=\frac{2}{3}x−3\}\), which reads “the set of all ordered pairs \((x, y)\) such that \(y\) equals two-thirds \(x\) minus \(3\).” S...Other resources may express this set using set notation, \(\{(x, y) | y=\frac{2}{3}x−3\}\), which reads “the set of all ordered pairs \((x, y)\) such that \(y\) equals two-thirds \(x\) minus \(3\).” Sometimes the lines do not cross and there is no point of intersection.
- https://math.libretexts.org/Bookshelves/Algebra/Elementary_Algebra_(LibreTexts)/09%3A_Solving_Quadratic_Equations_and_Graphing_Parabolas/9.01%3A_Extracting_Square_RootsThe sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse: The height in feet of an object dropped from a 9-foot ladder is given by h(t)\(=−16t^{2}+9\), where t r...The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse: The height in feet of an object dropped from a 9-foot ladder is given by h(t)\(=−16t^{2}+9\), where t represents the time in seconds after the object has been dropped. How long does it take the object to hit the ground? (Hint: The height is 0 when the object hits the ground.)
- https://math.libretexts.org/Bookshelves/Algebra/Elementary_Algebra_(LibreTexts)/04%3A_Solving_Linear_Systems/4.05%3A_Solving_Systems_of_Linear_Inequalities_(Two_Variables)A system of linear inequalities consists of a set of two or more linear inequalities with the same variables. The inequalities define the conditions that are to be considered simultaneously. We know t...A system of linear inequalities consists of a set of two or more linear inequalities with the same variables. The inequalities define the conditions that are to be considered simultaneously. We know that each inequality in the set contains infinitely many ordered pair solutions defined by a region in a rectangular coordinate plane. When considering two of these inequalities together, the intersection of these sets defines the set of simultaneous ordered pair solutions.
- https://math.libretexts.org/Bookshelves/Algebra/Elementary_Algebra_(LibreTexts)/02%3A_Linear_Equations_and_Inequalities/2.01%3A_Introduction_to_AlgebraIn algebra, letters are used to represent numbers. The letters used to represent these numbers are called variables. Combinations of variables and numbers along with mathematical operations form algeb...In algebra, letters are used to represent numbers. The letters used to represent these numbers are called variables. Combinations of variables and numbers along with mathematical operations form algebraic expressions, or just expressions.
