ACT Math Practice Test 15

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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Câu 1: 1 điểm

In the figure below, what is the measure of ∠α?

Hình ảnh

A.  

20◦

B.  

55◦

C.  

70◦

D.  

75◦

E.  

110◦

Câu 2: 1 điểm

If x = 3yz2, what is y in terms of x and z?

A.  

x3z2\frac{x}{3z^{2}}

B.  

3xz2

C.  

(1⁄3)xz2

D.  

z2y3x\frac{z^{2}y}{3x}

E.  

x3z\frac{\sqrt{x}}{3z}

Câu 3: 1 điểm

A rectangular garden has a length of x and a width of y. The garden has its length reduced by 3 feet and its width extended by 2 feet. What is the area of the new garden?

A.  

x + y

B.  

(x − 3)(y − 2)

C.  

(x + 3)( y + 2)

D.  

(x − 3)(y + 2)

E.  

(x + 3)( y − 2)

Câu 4: 1 điểm

In the standard (x, y) coordinate plane, if the x-coordinate of each point on a line is 5 more than half the y-coordinate, what is the slope of the line?

A.  

−5

B.  

−1⁄2

C.  

1⁄2

D.  

2

E.  

5

Câu 5: 1 điểm

In the parallelogram PQRS shown below, PS is 7 centimeters long. If the parallelogram’s perimeter is 40 centimeters, how many centimeters long is PQ?

Hình ảnh

A.  

49

B.  

21

C.  

13

D.  

10

E.  

5.7

Câu 6: 1 điểm

Which of the following is a value of r for which (r + 2)(r − 3) = 0?

A.  

6

B.  

0

C.  

−2

D.  

−3

E.  

−6

Câu 7: 1 điểm

Bus X travels 40 miles per hour for 2 hours; Bus Y travels 60 miles per hour for 112hours. What is the difference, in miles, between the number of miles traveled by Bus X and the number of miles traveled by Bus Y?

A.  

10

B.  

20

C.  

50

D.  

80

E.  

90

Câu 8: 1 điểm

Contributions to the school dance fund are made by each of 4 student groups according to the table below.

Hình ảnh

What is the average dollar amount of the contributions made by the 4 student groups?

A.  

$110.00

B.  

$55.00

C.  

$35.00

D.  

$27.50

E.  

$22.50

Câu 9: 1 điểm

To keep up with rising costs, a carpenter needs to increase his $30.00 per hour rate by 18%. What will be his new hourly rate?

A.  

$30.18

B.  

$31.80

C.  

$35.40

D.  

$38.00

E.  

$48.00

Câu 10: 1 điểm

One foot is equivalent to approximately 0.3048 meters.If a building is 65-feet long, what is the length of the building in meters, to the nearest tenth?

A.  

19.8

B.  

31.1

C.  

65.3

D.  

198.1

E.  

213.3

Câu 11: 1 điểm

In the circle shown below, C is the center and lies on segments AE\overline{AE} and BF\overline{BF} . Which of the following statements is NOT true?

Hình ảnh

A.  

∠BAC measures 70◦

B.  

AB\overline{AB} is parallel to EF\overline{EF}

C.  

AB\overline{AB}BD\overline{BD}

D.  

∠BCE ≅ ∠DCF

E.  

CF\overline{CF}EF\overline{EF}

Câu 12: 1 điểm

What are the values for a that satisfy the equation (a + y)(a + z) = 0?

A.  

−y and −z

B.  

−y and z

C.  

−yz

D.  

y and −z

E.  

y and z

Câu 13: 1 điểm

63=?\frac{−6}{\left | -3 \right |}=?

A.  

−3

B.  

−2

C.  

0

D.  

2

E.  

9

Câu 14: 1 điểm

A system of linear equations is shown below.
4y = 3x + 12
−4y = −3x − 8
Which of the following describes the graph of this system of linear equations in the standard (x, y) coordinate plane?

A.  

Two parallel lines with negative slope

B.  

Two parallel lines with positive slope

C.  

A single line with negative slope

D.  

A single line with positive slope

E.  

Two perpendicular lines

Câu 15: 1 điểm

If x2 = 36 and y2 = 81, which of the following CANNOT be the value of x + y?

A.  

−15

B.  

−3

C.  

0

D.  

3

E.  

15

Câu 16: 1 điểm

A survey is conducted among 700 high-school students to see who their favorite college basketball teams are. If 250 students like the Hawks, 200 students like the Vikings, 50 students like the Bears, and the remaining students like the Warriors, approximately what percentage of the 700 high school students answered that the Warriors were their favorite team? (round to the nearest tenth of a percentage point)

A.  

14.3%

B.  

28.6%

C.  

42.9%

D.  

56.2%

E.  

78.6%

Câu 17: 1 điểm

Which of the following is a value of n that satisfies logn64 = 2?

A.  

4

B.  

6

C.  

8

D.  

12

E.  

32

Câu 18: 1 điểm

Reduce x8y12x4y3z2\frac{x^{8}y^{12}}{x^{4}y^{3}z^{2}} to its simplest terms.

A.  

x2y12z2\frac{x^{2}y^{12}}{z^{2}}

B.  

x2y12z2\frac{x^{2}y^{12}}{z^{2}}

C.  

x4y9z2

D.  

x2y12z2

E.  

x2y9z2\frac{x^{2}y^{9}}{z^{2}}

Câu 19: 1 điểm

In the standard (x, y) coordinate plane, if a square has the vertices (−2,−3), (2,−3), and (2,1), what is the set of coordinates for the final vertex?

A.  

(2,−1)

B.  

(1,−2)

C.  

(−1,2)

D.  

(−2,−1)

E.  

(−2,1)

Câu 20: 1 điểm

Which of the following is the product of (3x2 − 1)(x2 − 4)?

A.  

3x4 + 13x2 + 4

B.  

3x4 + 5

C.  

3x4 − 13x2 + 4

D.  

3x4 − 12x2 + 4

E.  

3x4 + 12x2 + 4


 

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