Algebra 1 Explained

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课程名称:代数1解析 课程概述:成为代数1的高手,轻松应对下一次考试!本课程通过逐步教程、书面授课、练习题集、测试和测验,帮助学员掌握代数1的基本概念。所有练习和测验题目均提供完整解答,并有可选的逐步解决视频。所学概念对于成功学习更高级的数学课程,如代数2、几何学、三角学和微积分都是至关重要的。 本课程内容涵盖: 1. 变量与表达式 2. 方程的定义 3. 等式的加法性质 4. 等式的乘法性质 5. 多步骤线性方程 6. 含有分数/小数的方程 7. 特殊情况方程 8. 线性方程的应用1 9. 线性方程的应用2 10. 比例 11. 线性不等式的解法1 12. 线性不等式的解法2 13. 二元线性方程 14. 点的图示 15. 线性方程的图形 16. 斜率公式 17. 直线方程 18. 平行与垂直线 19. 不等式的图形 20. 函数简介 21. 图形法求解线性系统 22. 代入法求解线性系统 23. 消元法求解线性系统 24. 线性系统应用 25. 线性不等式系统 26. 指数:乘法与幂的规则 27. 负指数与商法则 28. 科学记数法 29. 多项式的加减法 30. 多项式的乘法 31. FOIL法则 32. 特殊多项式乘积 33. 单项式除多项式 34. 多项式除多项式 35. 含有缺失项的多项式除法 36. 单项式的最大公因数 37. 提取最大公因数 38. 按组分解 39. 分解三项式:a = 1 40. 分解三项式:a ≠ 1 41. 特殊分解 42. 通过分解求解二次方程 43. 有理表达式定义 44. 乘法有理表达式 45. 有理表达式的最小公倍数 46. 加法有理表达式 47. 复杂有理表达式 48. 求解有理方程 49. 有理表达式的应用 50. 直接变比 51. 反比变比 52. 平方根 53. 距离公式 54. 简化平方根 55. 平方根的加法 56. 有理化分母 57. 平方根的进一步运算 58. 求解平方根方程 59. 分数指数 60. 平方根性质 61. 完全平方 62. 二次公式 通过本课程,学员将获得扎实的代数基础,为进一步的数学学习打下坚实的基础。

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Become a Master of Algebra 1 and Ace your next Exam! In this course, you will master the concepts of Algebra 1 with our step-by-step tutorials, written lessons, practice sets, practice tests, and quizzes. ALL PRACTICE PROBLEMS AND QUIZ PROBLEMS ARE FULLY SOLVED WITH OPTIONAL STEP-BY-STEP SOLUTION VIDEOS.The concepts you will learn are fundamental to success in higher math classes such as Algebra 2, Geometry, Trigonometry, and Calculus. Our course will begin with variables & expressions, and then continue with solving linear equations, solving linear inequalities, graphing linear equations in two variables, functions, rules of exponents, scientific notation, operations with polynomials, factoring, rational expressions, radicals, and lastly solving quadratic equations. The topics of our course include:#1: Variables & Expressions#2: Equation Definition#3: Addition Property of Equality#4: Multiplication Property of Equality#5: Multi-Step Linear Equations#6: Equations with Fractions/Decimals#7: Special Case Equations#8: Applications of Linear Equations 1#9: Applications of Linear Equations 2#10: Proportions#11: Solving Linear Inequalities 1#12: Solving Linear Inequalities 2#13: Linear Equations in two Variables#14: Plotting Ordered Pairs#15: Graphing Linear Equations#16: Slope Formula#17: Equations of a Line#18: Parallel & Perpendicular Lines#19: Graphing Inequalities#20: Introduction to Functions#21: Solving Linear Systems by Graphing#22: Solving Linear Systems by Substitution#23: Solving Linear Systems by Elimination#24: Applications of Linear Systems#25: Systems of Linear Inequalities#26: Exponents: Product & Power Rules#27: Negative Exponents & the Quotient Rule#28: Scientific Notation#29: Adding & Subtracting Polynomials#30: Multiplying Polynomials#31: FOIL#32: Special Polynomial Products#33: Dividing Polynomials by Monomials#34: Dividing Polynomials#35: Dividing Polynomials with Missing Terms#36: GCF of a Monomial#37: Factoring out the GCF#38: Factoring by Grouping#39: Factoring Trinomials: a = 1#40: Factoring Trinomials: a ≠ 1#41: Special Factoring#42: Solving Quadratic Equations by Factoring#43: Rational Expression Definition#44: Multiplying Rational Expressions#45: LCD of Rational Expressions#46: Adding Rational Expressions#47: Complex Rational Expressions#48: Solving Rational Equations#49: Applications of Rational Expressions#50: Direct Variation#51: Inverse Variation#52: Square Roots#53: The Distance Formula#54: Simplifying Radicals#55: Adding Radicals#56: Rationalizing the Denominator#57: Further Operations with Radicals#58: Solving Radical Equations#59: Fractional Exponents#60: Square Root Property#61: Completing the Square#62: The Quadratic Formula

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