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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Functions | 20% | - Function definition and notation - Function transformations - Exponential and logarithmic functions - Linear, quadratic, and polynomial functions - Modeling with functions |
| Topic 2: Statistics & Probability | 15% | - Probability calculations - Bivariate data and scatterplots - Data collection and representation - Measures of center and spread - Statistical inference |
| Topic 3: Number & Quantity | 12% | - Real and complex number systems - Quantities and units - Vectors and matrices - Integer and rational exponents |
| Topic 4: Integrating Essential Skills | 20% | - Rates, percentages, and proportional relationships - Combining multiple skills in complex problems - Average and median calculations - Area, surface area, and volume calculations |
| Topic 5: Algebra | 20% | - Systems of equations - Linear equations and inequalities - Exponential relationships - Rational and radical equations - Quadratic equations and inequalities |
| Topic 6: Geometry | 20% | - Lines, angles, and planes - Quilaterals and polygons - Coordinate geometry - Triangles (including right triangles) - 3D shapes and volume - Circles and circular sectors - Trigonometry (sine, cosine, tangent) |
ACT American College Testing: Math Section Sample Questions:
1. A company offers early bird pricing of $15 on a new product if there are 10 or fewer orders. The price goes down to $12.50 if it is ordered by more than 10. Twenty ends up ordering at the $15 amount.
How much does the company end up offering as rebate?
A) $100
B) $25
C) $50
D) $75
2. In the diagram above, lines EF and GH are parallel, and line AB is perpendicular to lines EF and GH.
What is the length of line AB?
A) 
B) 5
C) 
D) 
E) 
3. Which of the following could be equal to
?
A) 4/12
B) 0.20
C) 5/20
D) -1/4
E) 0/4
4. FILL BLANK
What is the value of
whenx = 2 and y = 5?
5. What is the equation of a line that contains the point (2, 10) and has a y-intercept of 6?
A) y = 2x + 6
B) y = 1/2x + 6
C) y = 4x + 6
D) y = x + 6
Solutions:
| Question # 1 Answer: C | Question # 2 Answer: D | Question # 3 Answer: C | Question # 4 Answer: Only visible for members | Question # 5 Answer: A |
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