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ACT ACT-Math Exam Syllabus Topics:

SectionWeightObjectives
Preparing for Higher Math57–60%- Number & Quantity
  • 1. Vectors and matrices (basic concepts)
    • 2. Real and complex number systems
      - Statistics & Probability
      • 1. Descriptive statistics (mean, median, mode)
        • 2. Data interpretation
          • 3. Probability fundamentals
            - Geometry
            • 1. Coordinate geometry
              • 2. Plane geometry (triangles, circles, polygons)
                • 3. Transformations and symmetry
                  - Functions
                  • 1. Domain and range
                    • 2. Linear, quadratic, and piecewise functions
                      • 3. Function notation and evaluation
                        - Algebra
                        • 1. Linear equations and inequalities
                          • 2. Quadratic expressions and functions
                            • 3. Polynomials and factoring
                              Integrating Essential Skills40–43%- Mathematical Modeling
                              • 1. Interpreting algebraic and graphical representations
                                • 2. Translating real-world problems into equations
                                  - Problem Solving
                                  • 1. Multi-step word problems
                                    • 2. Applied reasoning with arithmetic and algebra
                                      - Graphical Interpretation
                                      • 1. Reading and analyzing graphs and charts

                                        ACT American College Testing: Math Section Sample Questions:

                                        1. A spinner is divided into eight equal regions, labeled one through eight.
                                        If Jenna spins the wheel, what is the probability that she will spin a number that is less than four and greater than two?

                                        A) 3/8
                                        B) 9/32
                                        C) 1/2
                                        D) 3/4
                                        E) 1/8


                                        2. Let the function f be defined as f(x) = 5x 2 - 7(4x + 3).
                                        What is the value of f(3)?

                                        A) -60
                                        B) -26
                                        C) -18
                                        D) -33
                                        E) -75


                                        3. The expression

                                        can be reduced to:

                                        A)

                                        B) x + 5.
                                        C)

                                        D) 1.
                                        E)


                                        4. A rectangle with a perimeter of 30 centimeters is twice as long as it is wide.
                                        What is the area of the rectangle in square centimeters?

                                        A) 50
                                        B) 20
                                        C) 40
                                        D) 30


                                        5. FILL BLANK
                                        If 6x + 9y - 15 = -6, what is the value of -2x - 3y + 5?


                                        Solutions:

                                        Question # 1
                                        Answer: E
                                        Question # 2
                                        Answer: A
                                        Question # 3
                                        Answer: E
                                        Question # 4
                                        Answer: A
                                        Question # 5
                                        Answer: Only visible for members

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