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ACT ACT-Math Exam Syllabus Topics:

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

                                        ACT American College Testing: Math Section Sample Questions:

                                        1. The equation

                                        is undefined when x =:

                                        A) 9
                                        B) -9
                                        C) -6
                                        D) 0
                                        E) -2


                                        2. What is the sum of the solutions of the 2 equations below?
                                        8 x = 12
                                        2 y + 10 = 22

                                        A) 10
                                        B) 9
                                        C)

                                        D)

                                        E)


                                        3. If

                                        anda and c are doubled, what happens to the value of d ?

                                        A) The value of d is doubled.
                                        B) The value of d is four times greater.
                                        C) The value of d is halved.
                                        D) The value of d is four times smaller.
                                        E) The value of d remains the same.


                                        4. If 3x - 1 = 11, what is the value of 3x + 1?

                                        A) 10
                                        B) 12
                                        C) 11
                                        D) 13


                                        5. It takes six people eight hours to stuff 10,000 envelopes.
                                        How many people would be required to do the job in three hours?

                                        A) 12
                                        B) 18
                                        C) 24
                                        D) 4
                                        E) 16


                                        Solutions:

                                        Question # 1
                                        Answer: B
                                        Question # 2
                                        Answer: E
                                        Question # 3
                                        Answer: E
                                        Question # 4
                                        Answer: D
                                        Question # 5
                                        Answer: E

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