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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Integrating Essential Skills | 40–43% | - Mathematical Modeling
|
| Preparing for Higher Math | 57–60% | - Number & Quantity
|
ACT American College Testing: Math Section Sample Questions:
Question 1
In the standard (x, y) coordinate plane, what is the midpoint of the line segment that has endpoints (3, 8) and (1, -4)?
A. (2, 2)
B. (4, -12)
C. (-2, -12)
D. (11/2, -3/2)
E. (-1, -6)
Question 2
Points A, B, C, and D are on a line such that B is between A and C, and C is between B and D.
The distance from A to B is 6 units. The distance from B to C is twice the distance from A to B, and the distance from C to D is twice the distance from B to C.
What is the distance, in units, from the midpoint of
to the midpoint of
?
A. 14
B. 12
C. 6
D. 18
E. 9
Question 3
Let the function f be defined as f(x) = 5x 2 - 7(4x + 3).
What is the value of f(3)?
A. -75
B. -60
C. -26
D. -18
E. -33
Question 4
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 5
Balloons are sold according to the chart above. If a customer buys one balloon at a time, the cost is $1.00 per balloon. If a customer buys ten balloons at a time, the cost is $0.90 per balloon.
If Carlos wants to buy 2,000 balloons, how much money does he save by buying 1,000 balloons at a time rather than ten balloons at a time?
A. $200
B. $500
C. $300
D. $600
E. $800
Solutions:
| Question 1 Answer: A | Question 2 Answer: D | Question 3 Answer: B | Question 4 Answer: Only visible for members | Question 5 Answer: D |
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