ACT ACT-Math : ACT American College Testing: Math Section

Exam Code: ACT-Math

Exam Name: ACT American College Testing: Math Section

Updated: Sep 15, 2026

Q & A: 280 Questions and Answers

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ACT ACT-Math Exam Syllabus Topics:

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

                                        ACT American College Testing: Math Section Sample Questions:

                                        Question #1

                                        The equation |2x - 8| + 3 = 5 has 2 solutions.
                                        Those solutions are equal to the solutions to which of the following pairs of equations?

                                        • A. 2x - 8 = 2 - (2x - 8) = 8
                                        • B. 2x - 5 = 5 -2x - 5 = -5
                                        • C. 2x - 8 = 2 -2x - 8 = 2
                                        • D. 2x - 8 = 8 - (2x - 8) = 8
                                        • E. 2x - 8 = 2 - (2x - 8) = 2
                                        Reveal Solution  Discussion  0

                                        Correct Answer: E  🗳️

                                        Question #2

                                        Mikea, an intern with the Parks and Recreation Department, is developing a proposal for the new a trapezoidal Springdale Park. The figure below shows her scale drawing of the proposed park with 3 side lengths and radius of the merry-go-round given in inches. In Mikea's scale drawing, 1 inch represents
                                        1.5 feet.

                                        What is the area, in square inches, of the scale drawing of the park?

                                        • A. 1,088
                                        • B. 672
                                        • C. 640
                                        • D. 544
                                        • E. 448
                                        Reveal Solution  Discussion  0

                                        Correct Answer: D  🗳️

                                        Question #3

                                        It takes eight people 12 hours to clean an office.
                                        How long would it take six people to clean the office?

                                        • A. 16 hours
                                        • B. 9 hours
                                        • C. 15 hours
                                        • D. 24 hours
                                        • E. 18 hours
                                        Reveal Solution  Discussion  0

                                        Correct Answer: A  🗳️

                                        Question #4

                                        For what value of x is the equation 22x + 7 = 215 true?

                                        • A. 2
                                        • B. 44
                                        • C. 16
                                        • D. 4
                                        • E. 11
                                        Reveal Solution  Discussion  0

                                        Correct Answer: D  🗳️

                                        Question #5

                                        What is the equation of the line that passes through the points (2, 3) and (-2, 5)?

                                        • A.
                                        • B. y = x + 1
                                        • C.
                                        • D.
                                        • E.
                                        Reveal Solution  Discussion  0

                                        Correct Answer: A  🗳️

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