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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Functions | 20% | - Function definition and notation - Modeling with functions - Linear, quadratic, and polynomial functions - Function transformations - Exponential and logarithmic functions |
| Integrating Essential Skills | 20% | - Combining multiple skills in complex problems - Rates, percentages, and proportional relationships - Average and median calculations - Area, surface area, and volume calculations |
| Statistics & Probability | 15% | - Bivariate data and scatterplots - Measures of center and spread - Statistical inference - Data collection and representation - Probability calculations |
| Algebra | 20% | - Quadratic equations and inequalities - Systems of equations - Rational and radical equations - Exponential relationships - Linear equations and inequalities |
| Number & Quantity | 12% | - Vectors and matrices - Integer and rational exponents - Quantities and units - Real and complex number systems |
| Geometry | 20% | - Lines, angles, and planes - Coordinate geometry - Quilaterals and polygons - Triangles (including right triangles) - Circles and circular sectors - Trigonometry (sine, cosine, tangent) - 3D shapes and volume |
ACT American College Testing: Math Section Sample Questions:
Question 1
In a restaurant, the ratio of four-person booths to two-person booths is 3:5.
If 154 people can be seated in the restaurant, how many two-person booths are in the restaurant?
A. 21
B. 14
C. 35
D. 70
E. 57
Question 2
FILL BLANK
The function
. If j(k) = -8 when j = -3, what is the value of k ?
Question 3
Which of the following is true?
A. Zero is a negative number.
B. The largest factor of 4 2 is 14.
C. Zero is the smallest prime number.
D. The sum of a positive number and its correlating negative is always zero.
Question 4
The equation |2x - 8| + 3 = 5 has 2 solutions.
Those solutions are equal to the solutions to which of the following pairs of equations?
A. 2x - 8 = 2 - (2x - 8) = 2
B. 2x - 8 = 2 - (2x - 8) = 8
C. 2x - 8 = 2 -2x - 8 = 2
D. 2x - 5 = 5 -2x - 5 = -5
E. 2x - 8 = 8 - (2x - 8) = 8
Question 5
The average of 5 distinct scores has the same value as the median of the 5 scores. The sum of the 5 scores is 420.
What is the sum of the 4 scores that are NOT the median?
A. 336
B. 315
C. 350
D. 360
E. 320
Solutions:
| Question 1 Answer: C | Question 2 Answer: Only visible for members | Question 3 Answer: D | Question 4 Answer: A | Question 5 Answer: A |
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