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ACT ACT-Math Exam Syllabus Topics:

SectionWeightObjectives
Functions20%- Exponential and logarithmic functions
- Function definition and notation
- Modeling with functions
- Function transformations
- Linear, quadratic, and polynomial functions
Number & Quantity12%- Real and complex number systems
- Quantities and units
- Integer and rational exponents
- Vectors and matrices
Geometry20%- Lines, angles, and planes
- Coordinate geometry
- Circles and circular sectors
- 3D shapes and volume
- Trigonometry (sine, cosine, tangent)
- Triangles (including right triangles)
- Quilaterals and polygons
Integrating Essential Skills20%- Combining multiple skills in complex problems
- Average and median calculations
- Area, surface area, and volume calculations
- Rates, percentages, and proportional relationships
Statistics & Probability15%- Measures of center and spread
- Data collection and representation
- Probability calculations
- Statistical inference
- Bivariate data and scatterplots
Algebra20%- Linear equations and inequalities
- Systems of equations
- Exponential relationships
- Rational and radical equations
- Quadratic equations and inequalities

ACT American College Testing: Math Section Sample Questions:

Question 1

Which of the following is equivalent to (2 x + 6) / 4 times (6 x - 36) / (3 x + 9)?

A. (8x - 30) / (3x + 13)
B. (x - 6) / 4
C. (12x 2 - 216) / (12x + 36)
D. x - 6


Question 2

FILL BLANK
What is the distance from the point where the line given by the equation 3y = 4x + 24 crosses the x-axis to the point where the line crosses the y-axis?


Question 3

Greg has nine paintings. The Hickory Museum has enough space to display three of them.
From how many different sets of three paintings does Greg have to choose?

A. 168
B. 27
C. 84
D. 504
E. 56


Question 4

A circle has a circumference of 16π feet.
What is the radius of the circle, in feet?

A. 32
B.

C. 16
D. 4
E. 8


Question 5

If 4x + 5 = 15, then 10x + 5 =:

A. 25.
B. 15.
C. 2.5.
D. 22.5.
E. 30.


Solutions:

Question 1
Answer: D
Question 2
Answer: Only visible for members
Question 3
Answer: C
Question 4
Answer: E
Question 5
Answer: E

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