thumbnail

ACT Math Practice Test 30

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

218,434 lượt xem 16,799 lượt làm bài


Bạn chưa làm đề thi này!!!

 

Xem trước nội dung:

Câu 1: 1 điểm

Two professors were hired to begin work at the same time. Professor A’s contract called for a starting salary of $50,000 with an increase of $1,500 after each year of employment. Professor B’s contract called for a starting salary of $42,000 with an increase of $2,800 after each year of employment. If y represents the number of full years of employment (that is, the number of yearly increases each professor has received), which of the following equations could be solved to determine the number of years until B’s yearly salary equals A’s yearly salary?

A.  

50, 000 + 1, 500y = 42, 000 + 2, 800y

B.  

50, 000 + 2, 800y = 42, 000 + 1, 500y

C.  

1, 500y + 2, 800y = y

D.  

1, 500y + 2, 800y = 42, 000

E.  

1, 500y + 2, 800y = 50, 000

Câu 2: 1 điểm

If x = −3 and y = 2, then x3y + xy3 =?

A.  

78

B.  

30

C.  

−6

D.  

−30trong> −30> −30

E.  

−78

Câu 3: 1 điểm

In the figure below, X and Y lie on the sides of ABC, and XY\overline{XY} is parallel to AB\overline{AB} . What is the measure of ∠C?

Hình ảnh

A.  

120◦

B.  

90◦

C.  

80◦

D.  

60◦

E.  

40◦

Câu 4: 1 điểm

|14|×|− 2| =?

A.  

−28

B.  

−16

C.  

−12

D.  

16

E.  

28

Câu 5: 1 điểm

In parallelogram ABCD shown below, AB is 7 inches long. If the parallelogram’s perimeter is 46 inches, how many inches long is AD?

Hình ảnh

A.  

61⁄2

B.  

16

C.  

28

D.  

39

E.  

49

Câu 6: 1 điểm

If 5x + 5 = 25 + 3x, then x =?

A.  

2.5

B.  

10

C.  

20

D.  

50

E.  

62.5

Câu 7: 1 điểm

What is 1/5 of 16% of $24,000?

A.  

$160

B.  

$768

C.  

$3,840

D.  

$4,032

E.  

$7,500

Câu 8: 1 điểm

Let a function of 2 variables be defined by f (a, b) = ab − (a − b). What is the value of f (8,9)?

A.  

89

B.  

73

C.  

71

D.  

34

E.  

0

Câu 9: 1 điểm

Which of the following expressions is equivalent to (3x + 4)(x − 5)?

A.  

3x2 + 9x − 9

B.  

3x2 + 9x + 20

C.  

3x2 − 19x − 9

D.  

3x2 − 11x − 20

E.  

3x2 + 20x − 20

Câu 10: 1 điểm

One pound is equivalent to 16 ounces. If a book weighs 1.5 pounds, how many ounces, to the nearest tenth, does the book weigh?

A.  

10.7

B.  

17.5

C.  

24.0

D.  

61.5

E.  

165.0

Câu 11: 1 điểm

In the standard (x,y) coordinate plane, what is the slope of the line with equation 4y − 6x = 8?

A.  

−3⁄2

B.  

−6

C.  

3⁄2

D.  

3

E.  

6

Câu 12: 1 điểm

The lengths of the sides of a triangle are 3 consecutive even integers. If the perimeter of the triangle is 48 inches, what is the length, in inches, of the longest side?

A.  

12

B.  

14

C.  

16

D.  

18

E.  

24

Câu 13: 1 điểm

Marcia’s horse’s rectangular corral is 50 feet wide by 125 feet long. Marcia wants to increase the area by 1,850 square feet by increasing the width and length by the same amount. What will be the new dimensions (width by length), in feet?

A.  

55 by 130

B.  

60 by 135

C.  

65 by 135

D.  

65 by 140

E.  

70 by 145

Câu 14: 1 điểm

In the standard (x,y) coordinate plane, how many times does the graph of (x + 1)(x − 2)(x + 3)(x + 4) intersect the x-axis?

A.  

1

B.  

4

C.  

6

D.  

10

E.  

24

Câu 15: 1 điểm

A car leaves a parking lot and travels directly north for 6 miles. It then turns and travels 8 miles east. How many miles is the car from the parking lot?

A.  

6

B.  

8

C.  

10

D.  

14

E.  

68

Câu 16: 1 điểm

Jenny ran 313 miles on Saturday and 245 miles on Sunday. The total distance, in miles, Jenny ran during those 2 days is within which of the following ranges?

A.  

At least 61⁄2 and less than 62⁄3

B.  

At least 61⁄3and less than 61⁄2

C.  

At least 6 and less than 61⁄3

D.  

At least 52⁄3 and less than 6

E.  

At least 51⁄2 and less than 52⁄3

Câu 17: 1 điểm

If (x + r) 2 = x2 + 22x + r2 for all real numbers x, then r =?

A.  

11

B.  

22

C.  

44

D.  

88

E.  

176

Câu 18: 1 điểm

A rope 55 feet long is cut into two pieces. If one piece is 23 feet longer than the other, what is the length, in feet, of the shorter piece?

A.  

2

B.  

16

C.  

23

D.  

32

E.  

51

Câu 19: 1 điểm

Two whole numbers have a greatest common factor of 8 and a least common multiple of 48. Which of the following pairs of whole numbers will satisfy the given conditions?

A.  

4 and 9

B.  

5 and 10

C.  

10 and 16

D.  

14 and 20

E.  

16 and 24

Câu 20: 1 điểm

If W = XYZ, then which of the following is an expression for Z in terms of W, X, and Y?

A.  

XYW\frac{XY}{W}

B.  

WXY\frac{W}{XY}

C.  

WXY

D.  

W − XY

E.  

W + XY

Đề thi tương tự

ACT Math Practice Test 8

1 mã đề 20 câu hỏi 1 giờ

214,22516,475

ACT Math Practice Test 17

1 mã đề 20 câu hỏi 1 giờ

218,73816,823

ACT Math Practice Test 16

1 mã đề 20 câu hỏi 1 giờ

217,72216,745

ACT Math Practice Test 2

1 mã đề 20 câu hỏi 1 giờ

214,73016,515

ACT Math Practice Test 6

1 mã đề 20 câu hỏi 1 giờ

219,71016,897

ACT Math Practice Test 14

1 mã đề 20 câu hỏi 1 giờ

196,97015,148

ACT Math Practice Test 18

1 mã đề 20 câu hỏi 1 giờ

200,51215,421

ACT Math Practice Test 26

1 mã đề 20 câu hỏi 1 giờ

209,40016,105

ACT Math Practice Test 21

1 mã đề 20 câu hỏi 1 giờ

200,06815,387