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课程名称：ACT数学测试备考课程轻松复习 课程概述：本ACT数学测试备考课程包含190道选择题和逐步解决方案。我建议您在查看解决方案之前暂停视频，先尝试自己解决每个问题。课程涵盖的主题包括： 1. 基础代数复习 2. 复合函数的评估 3. 线性和二次方程的图像绘制 4. 三项式、完全平方二项式、完全立方和GCF的因式分解 5. 简化有理表达式 6. 矩阵乘法和行列式的求解 7. 使用二次公式解决二次方程 8. 多变量函数的求解 9. 计算两点之间的斜率 10. 写出平行和垂直直线的线性方程 11. 科学计数法的乘法和除法 12. 指数的性质 - 幂法则、乘法法则和除法法则 13. 解决代数文字问题 14. 将句子转化为方程 15. 距离、速度、时间的文字问题 16. 租车公司文字问题 17. 基本数学复习 - 数字计算 18. 比率、速率和比例 19. 简化复杂分数 - 分数的乘法和除法 20. 混合数/分数的加减法 21. 五分镍币、二十五分硬币和十分硬币文字问题 22. 解决含有2和3个变量的方程组 23. 解决线性不等式并在数轴上绘制解 24. 连续偶数和奇数整数的文字问题 25. 平方根、立方根及简化根式的问题 26. 简化对数表达式和解决对数方程 27. 用不同底数解决指数方程 28. 两个分数的交叉相乘 29. 运算顺序 - 加、减、乘和除 30. 基础数学 - 百分比、百分比变化和增减 31. 百分比文字问题 - 销售税、折扣、原价和最终金额 32. 排列组合文字问题 - 组合数学 33. 概率文字问题 - 红、蓝、绿、黄玛瑙 - 依赖事件和独立事件 34. 基本计数原理 35. 算术序列、几何级数和部分和 36. 圆锥曲线、圆和抛物线 - 完成平方以写出标准方程 37. 线性方程 - 斜截式、标准式和点斜式 38. 中点公式和距离公式 39. 几何学基础复习 40. 矩形、正方形和三角形的面积和周长 41. 圆的面积和周长 - 半径与直径 42. 求阴影区域的面积 43. 求矩形和正方形对角线的长度 44. 求菱形的面积和对角线长度 45. 球体、立方体、长方体及其他形状的体积和表面积 46. 右圆柱体和锥体的侧面积、表面积和体积 47. 算术平均数与几何平均数 48. 测试分数的平均问题 49. 使用比例解决相似三角形 50. 特殊直角三角形和毕达哥拉斯定理 51. 30-60-90三角形和45-45-90三角形 52. 平行线和横截线 53. 交错内角、交错外角、对应角、线性对/补角和垂直角 54. 正多边形所有内角的和 - 三角形、四边形、五边形和六边形 55. 平行四边形、斜三角形和等腰梯形的面积 56. 不规则图形的面积和周长 57. 使用海伦公式求不等边三角形的面积 58. 圆、交叉弦、弧、切线和割线定理 59. 段加法问题、中点、直角及其他几何主题 60. 三角函数课程复习 61. 简化和评估正弦、余弦和正切的三角函数表达式 62. 验证三角函数恒等式 此课程旨在帮助学员全面复习ACT数学考试所需的知识，提升解题能力。
This ACT Math test prep review course contains 190 multiple choice practice problems with the step by step solutions. I recommend that you pause the video and work through each problem first before viewing the solution. Here is a list of topics covered in this course: 1. Basic Algebra Review 2. Evaluating Composite Functions 3. Graphing Linear and Quadratic Equations 4. Factoring Trinomials, Perfect Square Binomials, Sum of Perfect Cubes, and GCF 5. Simplifying Rational Expressions 6. Matrix Multiplication and Finding The Determinant 7. Using The Quadratic Formula to Solve Quadratic Equations 8. Solving Functions With Multiple Variables 9. Finding The Slope Between Two Points 10. Writing Linear Equations of Parallel and Perpendicular Lines 11. Scientific Notation - Multiplication and Division 12. Properties of Exponents - Power Rule, Product Rule, and Quotient Rule 13. Solving Algebra Word Problems 14. Converting Sentences Into Equations 15. Distance Rate Time Word Problems 16. Rental Car Company Word Problems 17. Basic Math Review - Numerical Calculations 18. Ratios, Rates, and Proportions 19. Simplifying Complex Fractions - Multiplying and Dividing Fractions 20. Adding and Subtracting Mixed Numbers / Fractions 21. Nickels, Quarters, and Dimes Word Problem 22. Solving System of Equations With 2 and 3 Variables 23. Solving Linear Inequalities and Graphing The Solution on a Number Line 24. Consecutive Even and Odd Integer Word Problems 25. Problems With Square Roots, Cube Root, and Simplifying Radical Expressions 26. Simplifying Logarithmic Expressions and Solving Logarithmic Equations 27. Solving Exponential Equations With Different Bases 28. Cross Multiplying With Two Fractions 29. Order of Operations - Addition, Subtraction, Multiplication and Division 30. Basic Mathematics - Percentages, Percent Change, and Percent Increase Decrease 31. Percentage Word Problems - Sales Tax, Discount, Original Selling Price, and Final Amount 32. Permutations and Combinations Word Problems - Combinatorics 33. Probability Word Problems - Red, Blue, Green and Yellow Marbles - Dependent and Independent Events 34. Fundamental Counting Principle 35. Arithmetic Sequence, Geometric Series, and Partial Sum 36. Conic Sections, Circles and Parabolas - Completing The Square To Write Equation In Standard Form 37. Linear Equations - Slope Intercept Form, Standard Form, and Point Slope Form 38. Midpoint Formula and Distance Formula 39. Geometry - Basic Review 40. Area and Perimeter of Rectangle, Square, and Triangle 41. Area and Circumference of a Circle - Radius vs Diameter 42. Finding The Area of the Shaded Region 43. Finding The Length of the Diagonal of a Square and Rectangle 44. Area and Diagonal Length of Rhombus 45. Volume and Surface of Sphere, Cube, Rectangular Prism and Other Shapes 46. Lateral Area, Surface Area, and Volume of Right Circular Cylinder and Cone 47. Arithmetic Mean vs Geometric Mean 48. Averages of test word problems 49. Solving Similar Triangles Using Proportions 50. Special Right Triangles and Pythagorean Theorem 51. 30 60 90 Triangle and 45 45 90 Triangle 52. Parallel lines and Transversal 53. Alternate Interior Angles, Alternate Exterior Angles, Corresponding Angles, Linear Pairs / Supplementary Angles, and Vertical Angles 54. The Sum of all Interior Angles in a Regular Polygon - Triangle, Quadrilateral, Pentagon, and Hexagon 55. Area of a Parallelogram, Oblique Triangle, and Isosceles Trapezoid 56. Area and Perimeter of an Irregular Figure 57. Area of Scalene Triangle Using Heron's Formula 58. Circles, Intersecting Chords, Arc, tangent secant theorem 59. Segment Addition Problems, Midpoint, Right Angles, and Other Geometry Topics 60. Trigonometry Course Review 61. Simplifying and Evaluating Trigonometric Expressions of Sine, Cosine, and Tangent 62. Verifying Trigonometric Identities 63.
