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| Section | Weight | Objectives |
|---|---|---|
| Statistics & Probability | 15% | - Statistical inference - Data collection and representation - Measures of center and spread - Bivariate data and scatterplots - Probability calculations |
| Functions | 20% | - Modeling with functions - Function transformations - Exponential and logarithmic functions - Function definition and notation - Linear, quadratic, and polynomial functions |
| Algebra | 20% | - Linear equations and inequalities - Quadratic equations and inequalities - Rational and radical equations - Exponential relationships - Systems of equations |
| Number & Quantity | 12% | - Vectors and matrices - Real and complex number systems - Integer and rational exponents - Quantities and units |
| Integrating Essential Skills | 20% | - Rates, percentages, and proportional relationships - Average and median calculations - Area, surface area, and volume calculations - Combining multiple skills in complex problems |
| Geometry | 20% | - Circles and circular sectors - Lines, angles, and planes - Quilaterals and polygons - Coordinate geometry - 3D shapes and volume - Trigonometry (sine, cosine, tangent) - Triangles (including right triangles) |
If 30% of r is equal to 75% of s, what is 50% of s if r = 30?
Correct Answer: E 🗳️
If g > 0 and h < 0, which of the following is always positive?
Correct Answer: E 🗳️
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?




Correct Answer: E 🗳️
A box in the shape of a cube has an interior side length of 18 inches and is used to ship a right circular cylinder with a radius of 6 inches and a height of 1 2 inches. The interior of the box not occupied by the cylinder is filled with packing material.
Which of the following numerical expressions gives the number of cubic inches of the box filled with packing material?
Correct Answer: D 🗳️
John took out a cash advance of x dollars from a financing company. The company deducts a fee of 1/4 of the original advanced amount along with a transfer fee of $25.
Which of the following represents the final advanced amount that John receives after all applied fees in dollars?
Correct Answer: D 🗳️
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ACT American College Testing: Math Section
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