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### Algebra 1 Help

 Algebra Basics ( Unit 1)8.15a - Solve multistep linear equations in one variable with the variable on one and two sides of the equationhttps://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-solving-equations/cc-8th-linear-equations/v/equations-3https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-solving-equations/cc-8th-linear-equations/v/multi-step-equations-1https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-solving-equations/cc-8th-linear-equations/v/solving-equations-28.15b - Solve two-step linear inequalities and graph the results on a number lineAlgebra 1A.1 - Represent verbal quantitative situations algebraically and evaluate these expressions for given replacement values of the variables.A.2 - Perform operations on polynomials, including...A.2a - Applying the laws of exponents to perform operations on expressionshttp://www.virtualnerd.com/algebra-1/exponents-exponential-functions/product-powers-variables-example.phphttps://www.youtube.com/watch?v=m-wZxnOW7Cchttps://www.youtube.com/watch?v=7pY8Mroelbghttps://www.youtube.com/watch?v=YWyhQnB6ljU&feature=iv&src_vid=Mm4y_I8-hoU&annotation_id=annotation_634812607https://www.youtube.com/watch?v=7MZsfSqkV44A.2b - Adding, subtracting, multiplying, and dividing polynomialshttp://www.virtualnerd.com/algebra-1/polynomials-and-factoring/addition-example.phphttp://www.virtualnerd.com/algebra-1/polynomials-and-factoring/subtraction-example.phphttp://www.virtualnerd.com/algebra-2/polynomials/binomial-multiplication-distributive-property.phphttp://www.virtualnerd.com/algebra-2/polynomials/trinomial-multiplication.phphttps://www.youtube.com/watch?v=xNQ0BFD40lYhttps://www.youtube.com/watch?v=qnMEcCOYcpohttps://www.youtube.com/watch?v=uERRlY-WmmUhttps://www.youtube.com/watch?v=5qOseWC4yc8A.2c - Factoring completely first- and second-degree binomials and trinomials in one or two variables. http://www.virtualnerd.com/algebra-1/polynomials-and-factoring/trinomial-factorization-example.phphttp://www.virtualnerd.com/algebra-1/polynomials-and-factoring/trinomial-factorization/leading-coefficient-1/trinomial-templatehttp://www.virtualnerd.com/algebra-1/polynomials-and-factoring/trinomial-factorization/leading-coefficient-not-1/factor-by-guess-and-checkhttp://www.virtualnerd.com/algebra-1/polynomials-and-factoring/trinomial-factorization/leading-coefficient-not-1/factor-by-a-c-methodhttp://www.virtualnerd.com/algebra-1/polynomials-and-factoring/difference-of-square-common-factor-example.phphttp://www.virtualnerd.com/algebra-1/polynomials-and-factoring/factoring-strategy-solving-equations/choosing-strategy-grouping/determine-strategyhttp://www.virtualnerd.com/algebra-1/polynomials-and-factoring/difference-of-squares-identification.phphttp://www.virtualnerd.com/algebra-1/polynomials-and-factoring/factoring-special-products/difference-square-or-cubes/difference-of-squares-exampleA.3 - Express the square roots and cube roots of whole numbers and the square root of a monomials algebraic expression in simplest radical formhttp://www.virtualnerd.com/pre-algebra/real-numbers-right-triangles/square-root-non-perfect-square-simplification.phphttp://www.virtualnerd.com/pre-algebra/factors-fractions-exponents/prime-factorization-greatest-common-factor/prime-factorization/prime-factorization-by-treeA.4 - Solve multistep linear and quadratic equations in two variables, including...A.4a - Solving literal equations (formulas) for a given variablehttp://www.virtualnerd.com/pre-algebra/inequalities-multi-step-equations/literal-equation-definition.phpA.4b - Justifying steps used in simplifying expressions and solving equations, using field properties and axioms of equality that are valid for the set of real numbers and its subsetsA.4c - Solving quadratic equations algebraically and graphicallyA.4d - Solving multistep linear equations algebraically and graphicallyFinding the Slope of a Linehttps://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-slope/v/converting-to-slope-intercept-formGraphing Linear Equations (By Slope-Intercept)https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-slope/v/graphing-a-line-in-slope-intercept-formGraphing Linear Equations (By Intercepts)https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/core-algebra-graphing-intercepts/v/graphing-using-x-and-y-interceptshttps://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/core-algebra-graphing-intercepts/v/x-and-y-interceptsConvert from Standard to Slope-Intercept Formhttps://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-slope/v/converting-to-slope-intercept-formMulti-Step Equations, Variables on Both Sides, https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/complicated_equations/v/multi-step-equationshttps://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/complicated_equations/v/multi-step-equations-2https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/complicated_equations/v/equations-with-variables-on-both-sidesInfinite and No Solutionshttps://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-solving-equations/cc-8th-equation-solutions/v/number-of-solutions-to-linear-equationshttps://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-solving-equations/cc-8th-equation-solutions/v/equation-special-caseshttps://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-solving-equations/cc-8th-equation-solutions/v/number-of-solutions-to-linear-equations-ex-2https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-solving-equations/cc-8th-equation-solutions/v/number-of-solutions-to-linear-equations-ex-3Absolute Value Equationshttps://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/absolute-value-equationshttps://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/absolute-value-equations-example-1https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/absolute-value-equation-example-2https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/u02-l2-t2-we1-absolute-value-equations-avihttps://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/absolute-value-equations-1https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/absolute-value-equation-exampleA.4e - Solving systems of two linear equations in two variables algebraically and graphicallyGraphinghttp://www.virtualnerd.com/algebra-2/linear-systems/equations-solution-by-graphing.phphttp://www.virtualnerd.com/algebra-2/linear-systems/equations-no-solution.phpSubstitutionhttp://www.virtualnerd.com/pre-algebra/linear-functions-graphing/equations-solution-by-substitution.phphttp://www.virtualnerd.com/pre-algebra/inequalities-multi-step-equations/no-solution-definition.phphttp://www.virtualnerd.com/pre-algebra/inequalities-multi-step-equations/no-solution-equation-example.phpEliminationhttp://www.virtualnerd.com/algebra-2/linear-systems/equations-solution-by-elimination-addition.phphttp://www.virtualnerd.com/algebra-2/linear-systems/equation-solution-by-elimination-subtraction.phphttp://www.virtualnerd.com/algebra-2/linear-systems/equations-solution-by-elimination-multiplication.phphttp://www.virtualnerd.com/algebra-2/linear-systems/equations-solution-by-elimination-multiplication-alternative.phpA.4f - Solving real-world problems involving equations and systems of equationshttp://www.virtualnerd.com/algebra-2/linear-systems/equations-word-problem-solution-example.phphttp://www.virtualnerd.com/algebra-2/linear-systems/two-simultaneous-equations-word-problem.phpA.5 - Solve multistep linear inequalities in two variables, including...A.5a - Solving multistep linear inequalities algebraically and graphicallyA.5b - Justifying steps used in solving inequalities, using axioms of inequality and properties of order that are valid for the set of real numbers and its subsetsA.5c - Solving real-world problems involving inequalitiesA.5d - Solving systems of inequalitiesA.6 - Graph linear equations and linear inequalities in tow variables, including...A.6a - Determining the slope of a line when given an equation of the line, the graph of the line, or two points on the line.A.6b - Writing the equation of a line when given the graph of the line, two points on the line, or the slope and a point on the lineA.7 - Investigate and analyze function (linear and quadratic) families and their characteristics both algebraically and graphically, including...A.7a - Determining whether a relation is a functionhttp://www.virtualnerd.com/algebra-1/relations-functions/functions/function-notation/How-Can-You-Tell-if-a-Relation-is-Not-a-Functionhttp://www.virtualnerd.com/algebra-1/relations-functions/functions/function-notation/identify-differencehttp://www.virtualnerd.com/algebra-1/relations-functions/functions/function-notation/continuous-definitionA.7b - Domain and rangehttp://www.virtualnerd.com/algebra-1/relations-functions/relations/relations-examples/find-domain-range-examplehttp://www.virtualnerd.com/algebra-1/relations-functions/relations/relations-examples/relation-from-word-problem-examplehttps://www.khanacademy.org/math/algebra/algebra-functions/domain-and-range/v/domain-and-range-from-graphsA.7c - Zeroes of a functionA.7d - x- and y-interceptsA.7e - Finding the values of a function for elements in its domainhttp://www.virtualnerd.com/algebra-1/relations-functions/functions/function-notation/f-of-x-definitionhttp://www.virtualnerd.com/algebra-1/relations-functions/functions/function-notation/f-of-x-evaluationA.7f - Making connections between and among multiple representations of functions including concrete, verbal, numeric, graphic, and algebraichttp://www.virtualnerd.com/algebra-1/relations-functions/arithmetic-sequences/arithmetic-sequence-terms/sequence-nth-term-exampleA.8 - Given a situation in a real-world context, will analyze a relation to determine whether a direct or inverse variation exists, and represent a direct variation algebraically and graphically and an inverse variation graphicallyhttp://www.virtualnerd.com/tutorials/?id=Alg1_10_2_22http://www.virtualnerd.com/pre-algebra/linear-functions-graphing/direct-variation/define-direct-variation/direct-variation-proportionality-formulahttp://www.virtualnerd.com/pre-algebra/polynomials-nonlinear-functions/inverse-variation/inverse-variation-examples/inverse-variation-indirect-proportionality-formulaA.9 - Given a set of data, will interpret variation in real-world contexts and calculate and interpret mean absolute deviation, standard deviation, and z-scoresA.10 - Compare and contrast multiple univariate data sets, using box-and-whicker plotsA.11 - Collect and analyze data, determine the equation of the curve of best fit in order to make predictions, and solve real-world problems, using mathematical models including linear and quadratic functions
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