ACT Math Test Preparation Study Guide Multiple Choice Practice Questions – Algebra, Geometry, and Trigonometry

**Online Course Highlights**

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## What You will Learn?

- Students will learn how to solve common math concepts tested on the ACT exam.

## Online Course Description:

**T**his 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:**

- Basic Algebra Review
- Evaluating Composite Functions
- Graphing Linear and Quadratic Equations
- Factoring Trinomials, Perfect Square Binomials, Sum of Perfect Cubes, and GCF
- Simplifying Rational Expressions
- Matrix Multiplication and Finding The Determinant
- Using The Quadratic Formula to Solve Quadratic Equations
- Solving Functions With Multiple Variables
- Finding The Slope Between Two Points
- Writing Linear Equations of Parallel and Perpendicular Lines
- Scientific Notation – Multiplication and Division
- Properties of Exponents – Power Rule, Product Rule, and Quotient Rule
- Solving Algebra Word Problems
- Converting Sentences Into Equations
- Distance Rate Time Word Problems
- Rental Car Company Word Problems
- Basic Math Review – Numerical Calculations
- Ratios, Rates, and Proportions
- Simplifying Complex Fractions – Multiplying and Dividing Fractions
- Adding and Subtracting Mixed Numbers / Fractions
- Nickels, Quarters, and Dimes Word Problem
- Solving System of Equations With 2 and 3 Variables
- Solving Linear Inequalities and Graphing The Solution on a Number Line
- Consecutive Even and Odd Integer Word Problems
- Problems With Square Roots, Cube Root, and Simplifying Radical Expressions
- Simplifying Logarithmic Expressions and Solving Logarithmic Equations
- Solving Exponential Equations With Different Bases
- Cross Multiplying With Two Fractions
- Order of Operations – Addition, Subtraction, Multiplication and Division
- Basic Mathematics – Percentages, Percent Change, and Percent Increase Decrease
- Percentage Word Problems – Sales Tax, Discount, Original Selling Price, and Final Amount
- Permutations and Combinations Word Problems – Combinatorics
- Probability Word Problems – Red, Blue, Green and Yellow Marbles – Dependent and Independent Events
- Fundamental Counting Principle
- Arithmetic Sequence, Geometric Series, and Partial Sum
- Conic Sections, Circles and Parabolas – Completing The Square To Write Equation In Standard Form
- Linear Equations – Slope Intercept Form, Standard Form, and Point Slope Form
- Midpoint Formula and Distance Formula
- Geometry – Basic Review
- Area and Perimeter of Rectangle, Square, and Triangle
- Area and Circumference of a Circle – Radius vs Diameter
- Finding The Area of the Shaded Region
- Finding The Length of the Diagonal of a Square and Rectangle
- Area and Diagonal Length of Rhombus
- Volume and Surface of Sphere, Cube, Rectangular Prism and Other Shapes
- Lateral Area, Surface Area, and Volume of Right Circular Cylinder and Cone
- Arithmetic Mean vs Geometric Mean
- Averages of test word problems
- Solving Similar Triangles Using Proportions
- Special Right Triangles and Pythagorean Theorem
- 30 60 90 Triangle and 45 45 90 Triangle
- Parallel lines and Transversal
- Alternate Interior Angles, Alternate Exterior Angles, Corresponding Angles, Linear Pairs / Supplementary Angles, and Vertical Angles
- The Sum of all Interior Angles in a Regular Polygon – Triangle, Quadrilateral, Pentagon, and Hexagon
- Area of a Parallelogram, Oblique Triangle, and Isosceles Trapezoid
- Area and Perimeter of an Irregular Figure
- Area of Scalene Triangle Using Heron’s Formula
- Circles, Intersecting Chords, Arc, tangent secant theorem
- Segment Addition Problems, Midpoint, Right Angles, and Other Geometry Topics
- Trigonometry Course Review
- Simplifying and Evaluating Trigonometric Expressions of Sine, Cosine, and Tangent
- Verifying Trigonometric Identities

**Who is the target audience?**

- Anyone who wishes to improve their score in the math section of the ACT exam.