ACT Math Practice Test 19
Bộ sưu tập: Tuyển Tập Bộ Đề Thi Đại Học Hoa Kỳ (ACT) - Có Đáp Án Chi Tiết
Số câu hỏi: 20 câuSố mã đề: 1 đềThời gian: 1 giờ
200,521 lượt xem 15,424 lượt làm bài
(x3 + 2x2 + 3x − 2) − (2x3 − x2 − 4) is equivalent to:
−x3 + x2 + 3x − 6
−x3 + 3x2 + 3x + 2
2x3 − 2x2 + 3x − 2
2x6 + x4 + 3x − 6
2x6 + 3x4 + 3x + 2
The figure below shows 2 tangent circles such that the 9- inch diameter of the smaller circle is equal to the radius of the larger circle. What is the approximate area, in square inches, of the shaded region?
28.27
56.55
63.62
190.74
254.47
If 3 times a number x is added to 12, the result is negative. Which of the following gives the possible value(s) for x?
All x > 4
All x < −4
36 only
4 only
0 only
At a summer camp, one boy and one girl will be selected to lead the weekly activities. If there are 130 boys and 145 girls at the camp, how many different 2-person combinations of 1 boy and 1 girl are possible?
15
275
550
9,425
18,850
In the figure above, OS = ST and the coordinates of T are (k,5). What is the value of k?
−5
−3
−2
0
5
The average (arithmetic mean) of a and b is 6 and the average of a, b, and c is 11. What is the value of c?
21
17
13
8
5
A house painter charges $24.00 per hour for a painting job that requires more than 5 hours to complete. For any job requiring 5 hours or less, the house painter charges a flat fee of $100. If n represents the number of hours the job requires, which of the following expressions gives the charge, in dollars, for a job requiring more than 5 hours to complete?
124.0
−24n + 100
24n − 100
24n
24n + 100
A system of linear equations is shown below.
4y − 2x = 8
4y + 2x = 8
Which of the following describes the graph of this system of linear equations in the standard (x, y) coordinate plane?
A single line with positive slope
A single line with negative slope
Two distinct intersecting lines
Two parallel lines with positive slope
Two parallel lines with negative slope
If 42⁄5 = a − 12⁄3, then a = ?
What is the least common multiple of 40, 70, and 60?
240
420
840
1,680
168,000
The area of a trapezoid is found by using the equation 1⁄2h(b1+b2), where h is the height and b1 and b2 are the lengths of the bases. What is the area of the trapezoid shown below?
18
20
24
30
36
For right triangle ABC with dimensions in centimeters as given below, what is tan C?
5⁄9
9⁄5
Which of the following statements is NOT true about the geometric sequence 36, 18, 9, …?
The fourth term is 4.5.
The sum of the first five terms is 69.75.
Each consecutive term is 1⁄2 of the previous term.
Each consecutive term is evenly divisible by 3.
The common ratio of consecutive terms is 2:1.
Which of the following equations expresses z in terms of x for all real numbers x, y, and z, such that x5 = y and y3 = z?
z = x
z = 3⁄5x
z = 3x5
z = x8
z = x15
In the standard (x, y) coordinate plane below, the points (0,2), (8,2), (3,6), and (11,6) are the vertices of a parallelogram. What is the area, in square units, of the parallelogram?
6√2
16
32
56
88
(6a − 12) − (4a + 4) = ?
2(a + 2)
2(a + 4)
2(a − 2)
2(a − 4)
2(a − 8)
In the figure shown below, the measure of ∠ SRT is (x +15)° and the measure of ∠ SRU is 90°. What is the measure of ∠ TRU?
(105 + x)°
(105 − x)°
(75 + x)°
(75 − x)°
(x − 75)°
For all numbers x and y, let the operation ¤ be defined as x ¤ y = 2xy − 4x. If a and b are positive integers, which of the following can be equal to zero?
I. a ¤ b
II. (a − b) ¤ b
III. b ¤ (a − b)
I only
II only
III only
I and II only
I, II, and III
What is the median of the following 6 test scores?
64, 72, 85, 80, 72, 89
64
72
76
77
82.5
The table above gives values of the quadratic function f for selected values of x. Which of the following defines the quadratic function f ?
f (x) = x2 − 6
f (x) = x2 + 6
f (x) = 2x2 − 10
f (x) = 2x2 − 6
f (x) = 2x2 − 7
1 mã đề 20 câu hỏi
1 mã đề 20 câu hỏi
1 mã đề 20 câu hỏi
1 mã đề 20 câu hỏi
1 mã đề 20 câu hỏi
