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ACT ACT-Math Exam Syllabus Topics:

SectionWeightObjectives
Preparing for Higher Math57–60%- Functions
  • 1. Function definition and notation
    • 2. Linear, radical, polynomial, and logarithmic functions
      • 3. Domain and range analysis
        • 4. Graph interpretation and transformation
          - Statistics & Probability
          • 1. Basic statistical modeling
            • 2. Data representation and interpretation
              • 3. Counting techniques and probability rules
                • 4. Measures of central tendency and spread
                  - Geometry
                  • 1. Plane and coordinate geometry
                    • 2. Surface area, volume, and trigonometric ratios
                      • 3. Congruence, similarity, and measurement
                        • 4. Triangles, circles, and polygons
                          - Number & Quantity
                          • 1. Real and complex number systems
                            • 2. Integer and rational exponents
                              • 3. Ratios, proportions, and percentages
                                • 4. Vectors and matrices
                                  - Algebra
                                  • 1. Linear, polynomial, radical, and exponential equations
                                    • 2. Quadratic expressions and functions
                                      • 3. Systems of equations and inequalities
                                        • 4. Modeling algebraic relationships
                                          ModelingIntegrated throughout- Apply models across all content domains
                                          - Create and interpret mathematical models
                                          - Refine and evaluate model solutions
                                          Integrating Essential Skills40–43%- Problem-solving in real-world contexts
                                          - Multi-step arithmetic and pre-algebra
                                          - Logical reasoning and estimation
                                          - Rates, averages, and unit conversion

                                          ACT American College Testing: Math Section Sample Questions:

                                          Question 1

                                          Line y = 2/3x - 5 is perpendicular to line:

                                          A. y = 5 - 2/3x
                                          B. y = -2/3x + 5
                                          C. y = 2/3x + 5
                                          D. y = -2/3x - 5
                                          E. y = 2/3x - 5


                                          Question 2

                                          What is x, the second term in the series of 1/3 + x + 1/27 + 1/81...?

                                          A. 1/12
                                          B. 1/6
                                          C. 1/9
                                          D. 1/15


                                          Question 3

                                          The expression 4x 2 - 2x + 3 is equal to 3 when x = 0 and when x =

                                          A. -1/2
                                          B. 1/8
                                          C. 1/4
                                          D. -1/4
                                          E. 1/2


                                          Question 4

                                          The average of 5 distinct scores has the same value as the median of the 5 scores. The sum of the 5 scores is 420.
                                          What is the sum of the 4 scores that are NOT the median?

                                          A. 315
                                          B. 320
                                          C. 350
                                          D. 336
                                          E. 360


                                          Question 5

                                          The equation

                                          whenx =:

                                          A. -4 or -8.
                                          B. -8 or 8.
                                          C. -4 or 4.
                                          D. 4 or -8.
                                          E. 4 or 8.


                                          Solutions:

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

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