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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Integrating Essential Skills | 20% | - Rates, percentages, and proportional relationships - Area, surface area, and volume calculations - Combining multiple skills in complex problems - Average and median calculations |
| Topic 2: Functions | 20% | - Linear, quadratic, and polynomial functions - Exponential and logarithmic functions - Function definition and notation - Modeling with functions - Function transformations |
| Topic 3: Algebra | 20% | - Systems of equations - Quadratic equations and inequalities - Linear equations and inequalities - Rational and radical equations - Exponential relationships |
| Topic 4: Geometry | 20% | - Triangles (including right triangles) - Quilaterals and polygons - Trigonometry (sine, cosine, tangent) - Lines, angles, and planes - Coordinate geometry - Circles and circular sectors - 3D shapes and volume |
| Topic 5: Number & Quantity | 12% | - Real and complex number systems - Integer and rational exponents - Quantities and units - Vectors and matrices |
| Topic 6: Statistics & Probability | 15% | - Statistical inference - Probability calculations - Bivariate data and scatterplots - Data collection and representation - Measures of center and spread |
ACT American College Testing: Math Section Sample Questions:
When x = 4 and y = 6, by how much does the value of 3x 2 - 3y exceed the value of 2x 2 - 2y?
- A. 20
- B. 10
- C. 15
- D. 5
Correct Answer: B 🗳️
The pie chart above shows the distribution of video rentals from Al's Video Vault for a single night.
If 250 videos were rented that night, how many more action movies were rented than horror movies?
- A. 22
- B. 20
- C. 10
- D. 30
- E. 25
Correct Answer: E 🗳️
FILL BLANK
In the circle above, the measure of
is
80º and the length of arc AB is 28πunits.
What is the radius of the circle?
Correct Answer:
63
In the following equation, what is the value of x?
1/2x + 4 = 3/4x - 5
- A. 9
- B. 36
- C. 8
- D. 27
Correct Answer: B 🗳️
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