Conquering ACT Math and Science by Steven W. Dulan

Author:Steven W. Dulan
Language: eng
Format: epub
Publisher: McGraw-Hill Education
Published: 2020-07-15T00:00:00+00:00

A. 2.5

B. 9

C. 12

D. 18

E. 27.5

14. |-5| + 2|-4| − |7| = ?

F. 10

G. 6

H. 3

J. −4

K. −20

15. If 18x is 40% of 180, then x = ?

A. 4

B. 10

C. 24

D. 38

E. 72

16. The expression (6s − 2)(4s − 7) is equivalent to:

F. 24s2 − 50s + 14

G. 24s2 − 34s − 14

H. 24s2 + 14

J. 10s2 − 50s + 14

K. 10s2 − 14

17. If f(x) = 5x2 − 3x − 27, then f(−4) = ?

A. 385

B. 172

C. 65

D. 41

E. −95

18. If n < 0, which of the following best describes a general relationship between n2 and n3?

F. n2 < n3

G. n2 > n3

H. n2 = n3

J. −n2 = n3

K.

19. The endpoints of line on the real number line are −5 and 11. What is the coordinate of the midpoint of

A. −2

B. 0

C. 3

D. 6

E. 8

20. If the sine of an angle is −0.5 and its cosine is 0.7, what is its secant?

F.

G.

H.

J.

K.

21. What is the point in the standard (x, y) coordinate plane that is the center of a circle with the equation (x + 3)2 + (y − 7)2 = 16?

A. (7, 3)

B. (4, 4)

C. (3, −7)

D. (−3, 4)

E. (−3, 7)

22. Through the 3rd game of the football season, Reggie had scored 2 more touchdowns than Tom. In the 4th game, Tom scored 3 touchdowns while Reggie had none. After being injured, Tom missed the next 3 games, during which Reggie scored 5 touchdowns. Over the 8th and 9th games, Tom scored 4 touchdowns and Reggie scored 2 touchdowns total. In the 10th game, Reggie scored 3 touchdowns while Tom scored 1. At the end of the 10th game, who between Tom and Reggie had more touchdowns, and by how many?

F. Tom by 4

G. Tom by 2

H. Neither

J. Reggie by 2

K. Reggie by 4

23. If 7x − 3(x − 6) = 2(x − 7) + 10, then x = ?

A. 6

B.

C. 2

D. −11

E.

24. For all x, which of the following is a factor of 10x2 + 14x − 12?

F. (x + 3)

G. (2x − 4)

H. (5x − 3)

J. (5x + 3)

K. (5x + 4)

25. A group of college students started a landscaping business. The students charge $24 per hour for a job that requires more than 5 hours. For any job that requires 5 hours or less, they charge a flat rate of $125. If h represents the number of hours that the job requires, which of the following expressions gives the charge, in dollars, for a job requiring more than 5 hours to complete?

A. 125h

B. −24h + 125

C. 24h − 125

D. 24h

E. 24h + 125

26. The ratio of Kevin’s age to his nephew’s age is 9:2. The sum of their ages is 44. How old is Kevin?

F. 40

G. 36

H. 35

J. 33

K. 22

27. What is the distance, in units, between the points with standard (x, y) coordinates (−2, 3) and (−6, 10)?

A.

B.

C. 11

D.

E.

28. What is the value of 7b − (2a3 + 4b2) if a = −5 and b = −3?

F. 265

G. 235

H. 193

J. −174

K. −235

29. When is defined, it is equivalent to which of the following expressions?

A.

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.