ACT Math Practice Test 4
Đề thi nằm trong 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
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A bag contains 7 black socks, 12 white socks, and 17 red socks. If you pick one sock at random from the bag, what is the probability that it will NOT be white?
1⁄2
2⁄3
3⁄4
7⁄12
7⁄36
In the following figure, line a and line b are parallel and pass through the points shown. What is the equation for line b?
y = 5⁄8x - 3
y = -5⁄8x + 5
y = -5⁄8x - 3
y = 8⁄5x + 5
y = -8⁄5x - 3
The ratio of adults to girls to boys on a class field trip was 1 : 4 : 5. If the trip included 6 more boys than girls, how many adults were with the group?
3
4
6
8
12
Two variables, v and w,are inversely proportional such that when v = 7, w = 14. What is the value of w when v = 2?
1
4
14
28
49
In the following figure, what is the value of x in terms of y?
10y
10y2
y√10
√(10y)
10√y
If f(x) = x2 + 9 and g(x) = 24 + 4x,what is the value of ?
0.75
0.8
1.2
1.25
1.75
In the following figure, what is the midpoint of ?
(-1, 1⁄2)
(-1, 3⁄2)
(-1, -1⁄2)
(-2, 1⁄2)
(-2, -3⁄2)
Two values of m satisfy the equation |5m – 11| – 3m = 9. What is the result when you multiply these two values together?
2.5
2.75
3.2
3.75
4.25
What is the formula of a line that is perpendicular to y = 1⁄3x + 9 and includes the point (3, 4)?
y = 1⁄3x + 5
y = -1⁄3x + 13
y = 3x + 5
y = –3x + 5
y = –3x + 13
If 15% of n is 300, what is 22% of n?
400
440
480
525
550
In the following figure, what is the length of ?
24
25
26
27
28
What is the determinant of the matrix ?
Zero
12
|0|
|6|
|12|
Which of the following points on the xy-graph is the x-intercept of the equation y = 2x – 8?
(0, 4)
(0, 1⁄4)
(4, 0)
(–4, 0)
(-1⁄4, 0)
Antoine bought a new electric guitar that cost $588.60 after 9% sales tax was added. What was the price of the guitar without tax?
$536
$540
$542
$545
$548
What is the area of ΔRST in the following figure?
84
91
96
105
120
Danielle’s phone plan charges her $30 per month for the first 200 minutes and then $0.10 per minute for each subsequent minute.
If Danielle paid exactly $100 last month, how many minutes did she use?
700
800
900
1,000
1,200
Danielle’s phone plan charges her $30 per month for the first 200 minutes and then $0.10 per minute for each subsequent minute.
Which of the following functions takes an input of any whole number value of x ≥ 200 and outputs the value for f(x) as the amount of dollars Danielle would pay for x minutes of phone usage?
f(x) = 0.1x + 10
f(x) = 0.1x + 20
f(x) = 0.1x + 30
f(x) = 0.1x + 200
f(x) = 0.1x + 230
Jane ran around the perimeter of a rectangular park at a constant rate of 10 feet per second. The park has an area of 67,500 square feet, and its length is exactly three times its width. For how many seconds did Jane run?
60
120
240
360
480
If pq = 3, then p3q4 + p4q5 =
12q
7p + 9q
12p + 20q
96p
108q
If tanθ = 4⁄3, then sinθ = ?
3⁄4
3⁄5
4⁄5
5⁄3
5⁄4