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ACT ACT-Math

ACT-Math

Exam Code: ACT-Math

Exam Name: ACT American College Testing: Math Section

Updated: Jul 18, 2026

Q & A: 280 Questions and Answers

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About ACT ACT-Math Exam

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ACT ACT-Math Exam Syllabus Topics:

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

                                        ACT American College Testing: Math Section Sample Questions:

                                        1. In the diagram above of f(x), for how many values does f(x) = -1?

                                        A) 2
                                        B) 3
                                        C) 4
                                        D) 0
                                        E) 1


                                        2. Which of the following is equivalent to (2 x + 6) / 4 times (6 x - 36) / (3 x + 9)?

                                        A) x - 6
                                        B) (8x - 30) / (3x + 13)
                                        C) (x - 6) / 4
                                        D) (12x 2 - 216) / (12x + 36)


                                        3. FILL BLANK
                                        If the distance from point (-2, m) to point (4, -1) is 10 units, what is the positive value of m?


                                        4. A dormitory now houses 30 men and allows 42 square feet of space per man.
                                        If five more men are put into this dormitory, how much less space will each man have?

                                        A) 9 square feet
                                        B) 5 square feet
                                        C) 7 square feet
                                        D) 8 square feet
                                        E) 6 square feet


                                        5. A bank contains one penny, two quarters, four nickels, and three dimes.
                                        What is the probability of selecting a coin that is worth more than five cents but less than 30 cents?

                                        A) 9/10
                                        B) 1/5
                                        C) 7/10
                                        D) 1/2
                                        E) 1/4


                                        Solutions:

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

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