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ACT American College Testing: Math Section Sample Questions:

1. If 3 x - y = 2 and 2 y - 3 x = 8, which of the following is equal to x / y ?

A) 6
B)

C) 2/3
D) 4
E) 2/5

2. Which of the following is equivalent to (12x 2 + 4x + 5y) + (3x 2 - 2x + 3y) = 15x 2 + 2x + 8y?

A) 17x 2 + 4x + 8y
B) 8 y - 4 x + 17 x 2
C) 17x 2 - 4x + 8y
D) 17x 2 + 4x - 8y

3. The number 1,001 is the product of the prime numbers 7, 11, and 13. Knowing this, what is the prime factorization of 30,030?

A) 2 · 3 · 5 · 7 · 11 · 13
B) 3 · 7 · 10 · 11 · 13
C) 3 · 7 · 10 · 13
D) 2 · 5 · 7 · 11 · 13
E) 30 · 7 · 11 · 13

4. Which of the following number pairs is in the ratio 4:5?

A) 1/4, 1/5
B) 1/5, 4/5
C) 1/5, 1/4
D) 4/5, 5/4
E) 1, 4/5

5. The pie chart above shows the distribution of video rentals from Al's Video Vault for a single night.

If 250 videos were rented that night, how many more action movies were rented than horror movies?

A) 25
B) 22
C) 10
D) 20
E) 30

Solutions: