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ACT American College Testing: Math Section Sample Questions:

1. FILL BLANK
If -6 b + 2 a - 25 = 5 and

, what is the value of

?

2. If x is more than one-third the value of y, which of the following expresses the value of y in terms of x?

A) y = (x + 2) / 3
B) y = (x - 2) / 3
C) y = 3 × (x - 2)
D) y = 3 × (x - 6)

3. A line through the origin and (10, 4) is shown in the standard (x, y) coordinate plane below. The acute angle between the line and the positive x-axis has measure θ.

What is the value of

?

A)

B)

C) 5/2
D)

E) 2/5

4. Membership fees for NetFilms streaming service include a one-time membership fee of $10 and ongoing monthly fees of $5.
How many months would you be able to buy with $120 after the membership fee is removed?

A) 25
B) 23
C) 22
D) 24

5. A sack contains red, blue, and yellow marbles. The ratio of red marbles to blue marbles to yellow marbles is 3:4:8.
If there are 24 yellow marbles in the sack, how many total marbles are in the sack?

A) 72
B) 96
C) 45
D) 144
E) 48

Solutions: