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ACT ACT-Math Exam Syllabus Topics:

ACT American College Testing: Math Section Sample Questions:

Question 1

Which of the following sets of numbers contains all and only the roots of the equation f(x) = x 3 + 7 x 2 - 8 x ?

A. {0, 8, -1}
B. {0, -8, 1}
C. {-8, 1}
D. {0, -1, -8, 1, 8}
E. {8, -1}

Question 2

A streaming box with a list price of $120 is marked down 30%.
If Steve gets an employee discount of 20% off the sale price, how much does he pay for the device?

A. $78.40
B. $72.30
C. $80.00
D. $67.20

Question 3

Which of the following statements must be true whenever n, a, b, and c are positive integers such that n < a, c > a, and b > c?

A. b - n > a - n
B. n + b = a + c
C. 2n > a + b
D. a < n
E. b < n

Question 4

The number a is located at -2.5 on the number line below

One of the following number lines shows the location of a2.
Which number line is it?
A)

B)

C)

D)

E)

A. Option B
B. Option D
C. Option E
D. Option C
E. Option A

Question 5

The expression

is equivalent to:

A.

B.

C.

D.

E.

Solutions: