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ACT ACT-Math Exam Syllabus Topics:

SectionWeightObjectives
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
            Preparing for Higher Math57–60%- Functions
            • 1. Function notation and evaluation
              • 2. Linear, quadratic, and piecewise functions
                • 3. Domain and range
                  - Geometry
                  • 1. Coordinate geometry
                    • 2. Transformations and symmetry
                      • 3. Plane geometry (triangles, circles, polygons)
                        - Number & Quantity
                        • 1. Real and complex number systems
                          • 2. Vectors and matrices (basic concepts)
                            - Algebra
                            • 1. Polynomials and factoring
                              • 2. Linear equations and inequalities
                                • 3. Quadratic expressions and functions
                                  - Statistics & Probability
                                  • 1. Data interpretation
                                    • 2. Descriptive statistics (mean, median, mode)
                                      • 3. Probability fundamentals

                                        ACT American College Testing: Math Section Sample Questions:

                                        FILL BLANK
                                        What is the value of

                                        whenx = 2 and y = 5?

                                        Reveal Solution  Discussion  0

                                        Correct Answer:

                                        4

                                        FILL BLANK
                                        Point A of rectangle ABCD is located at (-3, 12) and point C is located at (9, 5).
                                        What is the area of rectangle ABCD?

                                        Reveal Solution  Discussion  0

                                        Correct Answer:

                                        84

                                        In Cherokee County, the fine for speeding is $17 for each mile per hour the driver is traveling over the posted speed limit. In Cherokee County, Kirk was fined $221 for speeding on a road with a posted speed limit of 30 mph.
                                        Kirk was fined for traveling at what speed, in miles per hour?

                                        • A. 47
                                        • B. 43
                                        • C. 17
                                        • D. 13
                                        • E. 60
                                        Reveal Solution  Discussion  0

                                        Correct Answer: B  🗳️

                                        In the diagram above, ABCD is a square with an area of 100 cm 2 and lines BD and AC are the diagonals of ABCD.

                                        If line EF is parallel to line BC and the length of line CF = 3√ 2 cm, which of the following is equal to the shaded area?

                                        • A. 25 cm2
                                        • B. 78 cm2
                                        • C. 89 cm2
                                        • D. 39 cm2
                                        • E. 64 cm2
                                        Reveal Solution  Discussion  0

                                        Correct Answer: D  🗳️

                                        FILL BLANK

                                        In the diagram above, lines K and L are parallel, and lines M and N are parallel. If b = 8, then a = ____.

                                        Reveal Solution  Discussion  0

                                        Correct Answer:

                                        11

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