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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Number & Quantity | 12% | - Vectors and matrices - Integer and rational exponents - Quantities and units - Real and complex number systems |
| Topic 2: Functions | 20% | - Function transformations - Linear, quadratic, and polynomial functions - Modeling with functions - Exponential and logarithmic functions - Function definition and notation |
| Topic 3: Statistics & Probability | 15% | - Bivariate data and scatterplots - Statistical inference - Measures of center and spread - Probability calculations - Data collection and representation |
| Topic 4: Algebra | 20% | - Rational and radical equations - Systems of equations - Exponential relationships - Linear equations and inequalities - Quadratic equations and inequalities |
| Topic 5: Geometry | 20% | - Quilaterals and polygons - Coordinate geometry - Lines, angles, and planes - Triangles (including right triangles) - Circles and circular sectors - Trigonometry (sine, cosine, tangent) - 3D shapes and volume |
| Topic 6: Integrating Essential Skills | 20% | - Average and median calculations - Area, surface area, and volume calculations - Combining multiple skills in complex problems - Rates, percentages, and proportional relationships |
ACT American College Testing: Math Section Sample Questions:
1. If q is decreased by p percent, then the value of q is now:
A) q - p/100
B) -pq/100
C) q - pq/100
D) pq - pq/100
E) q - p
2. Which of the following is equivalent to (12x 2 + 4x + 5y) + (3x 2 - 2x + 3y) = 15x 2 + 2x + 8y?
A) 8 y - 4 x + 17 x 2
B) 17x 2 - 4x + 8y
C) 17x 2 + 4x - 8y
D) 17x 2 + 4x + 8y
3. In the diagram above, what is the area of the rectangle?
A) 9b 2 square units
B) 16b square units
C) 8ab square units
D) 12ab square units
E) 6ab square units
4. The equation
whenx =:
A) 4 or -8.
B) -4 or 4.
C) -8 or 8.
D) -4 or -8.
E) 4 or 8.
5. A box contains five blue pens, three black pens, and two red pens.
If every time a pen is selected, it is removed from the box, what is the probability of selecting a black pen followed by a blue pen?
A) 1/50
B) 1/10
C) 1/6
D) 77/90
E) 3/20
Solutions:
| Question # 1 Answer: C | Question # 2 Answer: D | Question # 3 Answer: C | Question # 4 Answer: E | Question # 5 Answer: C |
