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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Integrating Essential Skills | 20% | - Combining multiple skills in complex problems - Average and median calculations - Area, surface area, and volume calculations - Rates, percentages, and proportional relationships |
| Statistics & Probability | 15% | - Measures of center and spread - Probability calculations - Bivariate data and scatterplots - Statistical inference - Data collection and representation |
| Geometry | 20% | - Quilaterals and polygons - Triangles (including right triangles) - Coordinate geometry - Circles and circular sectors - Trigonometry (sine, cosine, tangent) - Lines, angles, and planes - 3D shapes and volume |
| Algebra | 20% | - Rational and radical equations - Exponential relationships - Systems of equations - Quadratic equations and inequalities - Linear equations and inequalities |
| Number & Quantity | 12% | - Real and complex number systems - Vectors and matrices - Quantities and units - Integer and rational exponents |
| Functions | 20% | - Linear, quadratic, and polynomial functions - Modeling with functions - Function transformations - Exponential and logarithmic functions - Function definition and notation |
ACT American College Testing: Math Section Sample Questions:
1. The expression
is equivalent to:
A) 5/7
B) x + 5
C) (x + 5) / (x + 7)
D) (2x - 15) / (4x - 21)
E) -5 / (2x - 7)
2. The function m#n is equal to m 2 - n.
Which of the following is equivalent to m#(n#m)?
A) n 2 - m
B) (n 2 - m) 2 - m
C) (m 2 - n) 2 - n
D) -n
E) m2+ m - n 2
3. If g > 0 and h < 0, which of the following is always positive?
A) g × h
B) hg
C) g + h
D) g - h
E) |h| - |g|
4. Which of the following statements must be true whenever n, a, b, and c are positive integers such that n < a, c > a, and b > c?
A) a < n
B) b - n > a - n
C) n + b = a + c
D) 2n > a + b
E) b < n
5. If a + 3b = 37 and a - 3b = 19, then b = ___.
A) 3
B) 12
C) 24
D) 6
Solutions:
| Question # 1 Answer: C | Question # 2 Answer: E | Question # 3 Answer: D | Question # 4 Answer: B | Question # 5 Answer: A |
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